M4maths Previous Puzzles

11 Mar 2015 Last two digit

Last two digit of the number (129)^129 will be

OPtion

1) 09
2) 11
3) 29
4) 31
5) 49
6) 51
7) 69
8) 71
9) 89
10)91

Solution

129^129 = (130-1)^129
any no having last + 129*130 - 1
tow digit zero
= x + 16770 - 1
= y + 69

Option 7)

Correct Option: 7 Best Solution (30)

SANTOSH SAHOO   9 years AGO

(-1+130)^129
=prove using binomial theorem
=-1+130*129
=167769
last 2 digit is 69

Like? Yes (8) | No   

Yathiraj   9 years AGO

There are 10 possible last 2 digits with powers of 129
power = 1, last 2 digits = 29
power = 2, last 2 digits = 41
power = 3, last 2 digits = 89
power = 4, last 2 digits = 81
power = 5, last 2 digits = 49
power = 6, last 2 digits = 21
power = 7, last 2 digits = 09
power = 8, last 2 digits = 61
power = 9, last 2 digits = 69
power = 10, last 2 digits = 01

since the power is 129, 129 mod 10 = 9
and from the above list, last 2 digits will be 69.

Option 7

Like? Yes (8) | No (2)  

Meenakshi   9 years AGO

(129^2)^64 * 129
(16641)^64 * 129
(41)^64 * 129
last two digit of (41)^64 is 61 (multiply tens digit of a number with last digit of the exponent to get the tens digit 4*4=16.unit digit is equal to one)
so,61*129
=>7869
so ans is 69

Like? Yes (5) | No (2)  

SHAHEEN   9 years AGO

in powers of 129 we get last digits as 69
so ans is 69---option 7.

Like? Yes (3) | No (1)  

KUMAR HARSH   9 years AGO

(129^2)^64*129
the last two digit of (129^2)^64=61
hance last two digit of (129)^129=last two digit of 61*129 =69

Like? Yes (3) | No (1)  

siddharth prakash singh   9 years AGO

find remainder of (129^129)/100;
=>29^129/100
use cyclicity now...
we get answer as 69.

Like? Yes (4) | No (2)  

KALYAN KUMAR REDDY VALLURU   9 years AGO

as 129/4 will give the reminder as 1
so units digit must be 9

Like? Yes (2) | No (1)  

aman   9 years AGO

129^129

29 ^129
(29^(2*64)+1) = 29^(2*64) . 29

29^2 last 2 digit 41
41^64 . 29
41 ^ 64 last two digit 61
61*29 = last two digit 69

Like? Yes (2) | No (1)  

CHAYAN KUMAR   9 years AGO

because last two digit of power 1,2,3,4,5,6,7,8,9,10,11 are respectively 29,41,89,81,49,21,09,61,69,01,29
so we can see that last two digit is repeated after (121)^11
so (129)^121 last two digit will be 29 & (129)^8 last two digit will be 61
so (121)^129 last two digit will be 61
so option 7 is the right one

Like? Yes (4) | No (3)  

kumar chayan   9 years AGO

last two digit of (129)^11=29 so repeated after every every 11 power so 129^121=29 & 129^8=61 (last two digit) so (129)^129=61 which is required ans

Like? Yes (2) | No (1)  

sompon temtheerakij   9 years AGO

the last two digit is
29,41,89,81,49,21,09,61,69,01,29,41.......
129th is 69

Like? Yes (1) | No   

vibhu raj gupta   9 years AGO

(129^2)^64*129
(16641)^64*129
last two digits of 16641 is mul tens digit with unit digit of power 4*4=16
take 6 and for unit place 1 is i.e. 61
now 61*129
last two digit is 69

Like? Yes (1) | No   

Settipalli.Anil Reddy   9 years AGO

129^129
The last two digits are 69

Like? Yes (2) | No (1)  

Thirupathi Reddy   9 years AGO

129^129
The last two digits are 69

Like? Yes (2) | No (1)  

ARUP GHOSH HAZRA   9 years AGO

129^129
= ((29)^2)^64 *29
=41^64 *29
the above expression can be written as ;
=(41)^60 *(41)^4 *29
=01 *61 *29
=69

Like? Yes (2) | No (1)  

J.DHANDAPANI   9 years AGO

By Binomial theorem,
(a+x)^n= nc0 a^n x^ 0 + nc1 a^(n-1) x ^1 + …x100 + …x1000+…
(-1 + 130)^129 = 1x (-1)^129 x130^0 +129 x(-1)^128 x 130 + .....
= -1 + 16770 +.....
=.......16769

Like? Yes (1) | No   

Abhijeet Digarse   9 years AGO

(129)^129 => ((29)^2)^64 × (29)^1
=> (41)^64 ×29
=> 61 × 29
=> 69. ( here we going only with last two digits after every step)

Like? Yes (1) | No   

shareef   9 years AGO

29^9 = .... 69

Like? Yes (1) | No   

Math Lovers   9 years AGO

(129)^129 =(130-1)^129
= ......... +130*129 - (1)^129 = 130*129 - (1)^129
= -------70 - 1= --------------69

Like? Yes (1) | No   

aman aditya   9 years AGO

number last two digit
29^2 41
29 ^4 81
29^8 61
29^16 21
29^32 41
29^64 81
29^128 61

now
61*29 69

Like? Yes (1) | No   

Bheemaray s vangi   9 years AGO

29^1=29-> 29
29^2=841-> 41
29^4=41^2-> 81
29^8=81^2-> 61
29^16=61^2-> 21
29^32=21^3-> 41
29^64=81
29^128=61
61*29=1769
last two digits are 69

Like? Yes (1) | No   

shabana banu shaik   9 years AGO

29^1 = 29 --> 29
29^2 = 841 --> 41
29^4 = 41^2 = 1681 --> 81
29^8 = 81^2 = 6561 --> 61
29^16 = 61^2 = 3721 --> 21
29^32 = 21^2 = 441 --> 41 * at this point the pattern will just repeat:
29^64 --> 81
29^128 --> 61

Now split 129 into powers of 2.
129 = 128 + 1

So you want the results for 29^128 * 29^1

But again just use the last two digits
61 x 29
= 1769 (mod 100) = 69

Like? Yes (1) | No   

vijay   9 years AGO

129^129
(130 - 1)^129
In bionomial expansion
(a + b)^n
(r +1)th term is given by
t(r + 1) = nCr * a^(n-r) * b^r
and has (n + 1)th term

And I think that last two digits can be obtained by last two terms so lets see
here
a = 130, b = -1, n = 129
t(129) = 129C128 * 130^(129 - 128) * (-1)^128
t(129) = 129 * 130 * 1 = 16770

t(130) = 129C129 * 130^(129 - 129) * (-1)^129
t(130) = 1 * 1 * -1 = -1

t(129) + t(130) = 16770 - 1 = 16769
So
last two digits are
69

Like? Yes (1) | No   

Surit Datta   9 years AGO

129^129 (mod 100)

Because any digit beyond the smallest two won't affect the tens or ones place, we can think of this equivalently as:
29^129 (mod 100)

In general, the efficient method for computing a modular exponent like the one above is to start by repeatedly squaring, and reducing after each square, recording only the last two digits, like so:

29^1 = 29 --> 29
29^2 = 841 --> 41
29^4 = 41^2 = 1681 --> 81
29^8 = 81^2 = 6561 --> 61
29^16 = 61^2 = 3721 --> 21
29^32 = 21^2 = 441 --> 41 * at this point the pattern will just repeat:
29^64 --> 81
29^128 --> 61

Now split 129 into powers of 2.
129 = 128 + 1

So you want the results for 29^128 * 29^1

But again just use the last two digits
61 x 29
= 1769 (mod 100) = 69

so option 7
that's it.

Like? Yes (1) | No   

Divya jain   9 years AGO

For last two digit we can write it as
(29)^129 = ((29)^2)^64 * 29
=((41)^2)^32 * 29
= ((81)^2)^16 * 29
= ((61)^2)^8 * 29
= ((21)^2)^4 * 29
= ((41)^2)^2 * 29
= ((81)^2) * 29
= 61 * 29
last two digit will be = 69

Like? Yes (1) | No   

Supriya Mondal   9 years AGO

(129)^129=(129^2)^64*129
=(16641)^64*129
We know that from the formula that last two digit of (16641)^64 will be 61
So, last two digit of the above product will be 69
So, option 7)69 is the right answer

Like? Yes (1) | No   

ABINAYA R   9 years AGO

29^1 = 29 --> 29
29^2 = 841 --> 41
29^4 = 41^2 = 1681 --> 81
29^8 = 81^2 = 6561 --> 61
29^16 = 61^2 = 3721 --> 21
29^32 = 21^2 = 441 --> 41 * at this point the pattern will just repeat:
29^64 --> 81
29^128 --> 61

Now split 129 into powers of 2.
129 = 128 + 1

So the results for 29^128 * 29^1

But again just use the last two digits
61 x 29
= 1769 (mod 100) = 69

Like? Yes (1) | No   

RAKESH   9 years AGO

(129)^129
for last two digit(29)^129
(30-1)^129 =--------------+ 129c128*30 - 1 = 70-1 = 69

Like? Yes (2) | No (2)  

sravani   9 years AGO

It would be 69...

Like? Yes (2) | No (2)  

Jeevitha   9 years AGO

129^129=129*129^128
the last two digits of 129^128 is 61
and by multiplying 61 with 129 we will get the last two digits as 69

Like? Yes (2) | No (2)  

10 Mar 2015 x^4 will be

If [4^x]^4 = 4, then x^4 will be

OPtion

1) .0004
2) .003
3) .002
4) .004
5) .005
6) .0006
7) .04
8) .03
9) .05
10).006

Solution

[4^x]^4 = 4
4^4x = 4^1
therefore 4x = 1
x = 1/4
so
x^4 = (1/4)^4 = 1/256 = .003906 = .004

Option 4)

Correct Option: 4 Best Solution (30)

KUMAR HARSH   9 years AGO

4^(x*4)=4
4*x=1
x=1/4
x^4=(1/4)^4=1/256=0.00039=0.004

Like? Yes (8) | No (1)  

CHAYAN KUMAR   9 years AGO

(4)^(4x)=4
x=1/4
so,(1/4)^4=0.004

Like? Yes (3) | No (1)  

aman   9 years AGO

(4^x)^4=4
4^x =4 ^1/4
x= 1/4

X^4 = 0.0039
Round off = 0.004

Like? Yes (2) | No   

NANGINEDI RAVITEJA   9 years AGO

x=0.25 so 0.25^4 =0.0039 = 0.004

Like? Yes (2) | No   

Parashuram s v   9 years AGO

4^(4x)=4
take log on both the sides
4xlog4=log4
4x=1
x=1/4
x^4=(1/4)^4=0.0039=0.004

Like? Yes (2) | No   

pawan kumar   9 years AGO

[4^X]^4= 4^4X=4
so, 4X=1
X=0.25

so, X^4=0.25^4=0.0039
=0.004

Like? Yes (2) | No   

sindhura   9 years AGO

4^4x=4 =>x=1/4 so 0.25^4 = 0.0039 =0.004

Like? Yes (1) | No   

GIRISH TYAGI   9 years AGO

[4^x]^4 = 4
4^x=4^(1/4)
then x = 1/4 and x^4 = 1/256=0.0039 = 0.004

Like? Yes (1) | No   

sompon temtheerakij   9 years AGO

[4^x]^4 = 4
[4^1/4]^4 = 4
x = 1/4
[1/4]^4 = 0.004

Like? Yes (1) | No   

Pranati Kundu   9 years AGO

4^4x=4^1
4x=1
x=1/4
x^4=0.0039
=0.004

Like? Yes (1) | No   

kumar chayan   9 years AGO

(4)^(4x)=4
which gives x=1/4
(1/4)^4=0.004

Like? Yes (1) | No   

Harish Reddy Namala   9 years AGO

4x =1
x = 0.25
x^4 = 0.004

Like? Yes (1) | No   

RAKESH   9 years AGO

x = 1/4 so, x 4 = 1/256 = .004

Like? Yes (1) | No   

RAHUL KUMAR   9 years AGO

[4^X]^4= 4 put x= 0.25
Then 0.25^4= 0.0039
So ans is 0.004

Like? Yes (1) | No   

ADERU CHENCHU NITHISH   9 years AGO

(4^x)^4=4
log(4^4x)=log4
4xlog4=log4
4x=1
x=0.25
so x^4=(0.25)^4=0.0039=0.004

Like? Yes (1) | No   

SHAHEEN   9 years AGO

[4^x]^4 = 4
4^(4x)=4
we can equate powers if bases are equal
=> 4x=1
x=1/4
x^(1/4)=0.00390625==0.004(appr.)
so the ans is option 4.

Like? Yes (2) | No (1)  

sravani   9 years AGO

4^4x=4
4x=1
x=1/4
x^4=1/256=0.003906=0.004

Like? Yes (1) | No   

sikander kumar   9 years AGO

X=.25
X^4=.00390625
AFTER ROUNDING
X=.004

Like? Yes (1) | No   

shareef   9 years AGO

we get x=1/4
so x^4 = 0.0039=0.004

Like? Yes (1) | No   

KARRI V V S B VAMSI KRISHNA REDDY   9 years AGO

[4^x]^4 = 4
4^4x = 4
as bases are equal power should be equal
4x = 1
x = 1/4
therefore X^4 = (1/4)^4 = 0.0039265 = 0.004

Like? Yes (1) | No   

Pragati Rode   9 years AGO

[4^x]^4 = 4
4^4x=4^1
4x=1
x=1/4
x^4=[1/4]^4=0.00390625 approx. 0.004

Like? Yes (1) | No   

AMIT KUMAR   9 years AGO

we can write 4^4x=4
taking log both side then
4x * log4 = log4
x=1/4
so, (1/4)^4= 0.00390~0.004

Like? Yes (1) | No   

Jeevitha   9 years AGO

4^4x=4 then x=1/4
So x^4~0.004

Like? Yes (1) | No   

preeti priya   9 years AGO

(4^x)^4=4
so 4^x=4^(1/4)
therefore, x=1/4
now(1/4)^4=0.00390

Like? Yes (1) | No   

Ravi Kumar Kodari   9 years AGO

Given, [4^x]^4 = 4
by solving this we get, 4x=1 so, x=1/4.

(1/4)^4=0.0039=~0.004 Ans.

Like? Yes (2) | No (1)  

Manish Kumar Gupta   9 years AGO

(4^x)^4=4
4^4x=4
4x=1
x=1/4=0.25
now
x^4=(0.25)^4=.00390625
=0.004

Like? Yes (1) | No   

Thirupathi Reddy   9 years AGO

x=.25
x^4=.004

Like? Yes (1) | No   

nitin kishore   9 years AGO

x=1/4

Like? Yes (1) | No   

Swathy Murugan   9 years AGO

x=1/4
(1/4)^4=0.004

Like? Yes (1) | No   

SUSHANT KUMAR   9 years AGO

[4^1/4]^4=4
so x=1/4
hence x^4=0.004

Like? Yes (1) | No   

09 Mar 2015 Sequence

What is the next number of the following sequence.
5/2, 16/3, 27/4, 38/5, 49/6, ........

OPtion

1) 59/7
2) 61/7
3) 72/7
4) 69/7
5) 73/7
6) 65/7
7) 64/7
8) 76/7
9) 62/7
10)60/7

Solution

Numerator 5, 16, 27, 38, 49, .... so next is 60
Similarly denominator 2, 3, 4, 5, 6, ... so next is 7

Correct Option: 10 Best Solution (144)

Supriya Mondal   9 years AGO

Here, numerator increase by 11
and denominator increase by 1
In this way we can get the next number
So, option 10) 60/7 is the right answer

Like? Yes (4) | No   

JANARTHANAN RAM   9 years AGO

num+11/den+1
so ans is 60/7

Like? Yes (5) | No (2)  

SHAHEEN   9 years AGO

in numarator the diffrence between the numbers is 11
so after 49 we get 60
in denominator difference is 1
so here we get 7
totally ans is option 10=60/7

Like? Yes (3) | No   

Surit Datta   9 years AGO

according to the series
NUMERATOR - DENOMINATOR
is like,
3 , 13 , 23 , 33 , 43 , . . . .
so the next difference will be 53
which is 60 - 7 = 53
so the next number is 60/7
so option 10
that's it.

Like? Yes (2) | No   

aishwarya   9 years AGO

every numerator here has a difference of 11 so 49+11=60 and denominator is increased by 1 so,60/7

Like? Yes (2) | No   

raaz yadav   9 years AGO

answer(10) 60/7

(5*3)+1=16 and 2+1=3 i.e. next term will be 16/3
(5*5)+2=27 and 2+2=4 i.e. next to next term will be 27/4
(5*7)+3=38 and 2+3=5 i.e next term will be 38/5
.
.
.

.
.
and so on ... so next term will be 60/7

Like? Yes (2) | No   

Thirupathi    9 years AGO

5+11=16
16+11=27
27+11=38
38+11=49
49+11=60
ans=60

Like? Yes (2) | No   

SANTOSH SAHOO   9 years AGO

5+11/3, 16+11/4, 27+11/5, 38+11/6, 49+11/7......

Like? Yes (1) | No   

MD SOHAIL AKHTER   9 years AGO

increase the numerator by 11 and denominator by 1.
we get 60/7

Like? Yes (1) | No   

KUMAR HARSH   9 years AGO

5/2, 16/3, 27/4, 38/5, 49/6
here next term numerator are 11 greater then the previous term numerator and next term denominator is 1 greater then previous term denominator

Like? Yes (1) | No   

SAYAN CHATTERJEE   9 years AGO

the denominator is in AP with common difference 1, so it becomes 7 at the next number
the numerator is in AP with common difference 11 so, it becomes 60
hence, the next number is (60/7) . (10)

Like? Yes (1) | No   

Pankaj kumar   9 years AGO

in neumerator next no. is obtained by adding 11 & in denominator it will follow the next no.

Like? Yes (1) | No   

ABHINAV PUSHPAM   9 years AGO

Difference of 11 in numerator and 1 in denominator. So 60/7
Option 10)

Like? Yes (1) | No   

Harish Reddy Namala   9 years AGO

numerator adding 11 to each number
denominator adding 1 to each number
answer is 60/7

Like? Yes (1) | No   

sourav pal   9 years AGO

increase with adding 11 with numerator and increase denominator 1 we get the answer 60/7

Like? Yes (1) | No   

CHAYAN KUMAR   9 years AGO

5/2,16/3,27/4,38/5,49/6,_
we can see that num is in ap with difference 11 and den is in ap with diff 1 so req no. will be 60/7

Like? Yes (1) | No   

RAHUL KUMAR   9 years AGO

In num addition of 11 in each term
in denominatior addition of 1 in each term
so ans will be 60/7.

Like? Yes (1) | No   

MRITUNJAY   9 years AGO

N+11/D+1 so next term is 60/7.

Like? Yes (2) | No (1)  

RUPESH PRAKASH   9 years AGO

numerator = previous term +11 and denominator = previous term + 1

Like? Yes (1) | No   

Shashank Bairagi   9 years AGO

Numerator is Increasing by 11 and denominator is increasing by 1 so the answer will be 60/7...

Like? Yes (1) | No   

praveen kumar   9 years AGO

11*5+5
=60 (in numerator)
and in denominator the next digit will be 7

so 60/7 is the ans.

Like? Yes (1) | No   

sindhura   9 years AGO

5+11=16,16+11=27 similarly 49+11=60 and denominator increasing by 1 so 60/7 is the answer.

Like? Yes (1) | No   

ramakrishna   9 years AGO

add 11 at numerator
add 1 at denominator

Like? Yes (1) | No   

jalaj   9 years AGO

60/7
difference between each term in numerator is 11
and difference between each term in denominator is in creased by 1

Like? Yes (1) | No   

ANAND KUMAR   9 years AGO

5*1=5
5*3+1=16
5*5+2=27
5*7+3=38
5*9+4=49
5*11+5=60

Like? Yes (1) | No   

mustain ahmed   9 years AGO

Difference of upper no is..=11
Difference of lower no is..=1
Hence,49+11=60
6+1=7
So,option-10 is correct(60/7)

Like? Yes (1) | No   

D. LATHA   9 years AGO

adding 11 in numerator and increasing 1 in denominator

Like? Yes (1) | No   

Jeevitha   9 years AGO

16-5=11,27-16=11,38-27=11,49-38=11 so next numerator is 49+11=60 and the denominator is increasing by 1 for each fraction.
So the answer is 60/7

Like? Yes (1) | No   

Bikash sahu   9 years AGO

num diff. 11 but denominator are in sequence..........

Like? Yes (1) | No   

Souvik Basak   9 years AGO

5+11=16+11=27+11=38+11=49+11=60 for numerator..
for denominator 2,3,4,5,6,7.......
So ans is 60/7

Like? Yes (1) | No   

RAKESH   9 years AGO

49+11 / 7 = 60/7

Like? Yes (1) | No   

mahesh   9 years AGO

ANS: 60/7
In Numerator we add 11 every time to the next number.
5+11=16, 16+11=27, 27+11=38, 38+11=49, 49+11=60
In Denominator the number increased by one every time, so next number is 7.
2+1=3, 3+1=4, 4+1=5, 5+1=6, 6+1=7

Like? Yes (1) | No   

kamlesh kumar   9 years AGO

both den and num are in ap having difference 1 and 11
so the required ans will be 60/7

Like? Yes (1) | No   

sravani   9 years AGO

11 diff between numerators
1 diff between denominators.

Like? Yes (1) | No   

tasho k   9 years AGO

Adding 11 to numerator and 1 to denominator
49 +11=60

Like? Yes (1) | No   

kumar chayan   9 years AGO

ap series so ans is 60/7

Like? Yes (1) | No   

aparna   9 years AGO

(x=5,y=1) ------- > x+11/y+1

Like? Yes (1) | No   

madhusudhana   9 years AGO

numerator increases by 11 and denominator by 1

Like? Yes (1) | No   

Pranati Kundu   9 years AGO

in numerator difference between 2 consecutive terms is 11. on denominator difference is 1 so answer is 60/7

Like? Yes (1) | No   

POOJA SINGH   9 years AGO

in numerator the difference is of 11 so numerator will be 60 and denominator is consecutive integers so it is 7
so the answer is 60/7

Like? Yes (1) | No   

uma   9 years AGO

numerator 11 incresing soans 49+11=60

Like? Yes (1) | No   

Tilotama Kumari   9 years AGO

in numerator,
5,5+11=16,16+11=27, so on
in denominator,
2,3,4,5,6,7

Like? Yes (1) | No   

Ajinkya Kulkarni   9 years AGO

60/7

Like? Yes (1) | No   

chandan kishor   9 years AGO

60/7 is req ans

Like? Yes (1) | No   

anand mund   9 years AGO

denominator increases by one. and numerator increases by 11.

Like? Yes (1) | No   

Sandeep Atmakuru   9 years AGO

all the denominators are same.
the numerator increases by 11..
so 49+11=60
hence 60/7

Like? Yes (1) | No   

sam   9 years AGO

numerator=add 11
denominator=add 1
ans=60/7

Like? Yes (1) | No   

NANGINEDI RAVITEJA   9 years AGO

numerator as +11 and denominator as +1.

Like? Yes (1) | No   

Pragati Rode   9 years AGO

Difference between each numerator is 11 and
denominator is increases by 1

Like? Yes (1) | No   

urmita das   9 years AGO

The series is....
5*1=5+0=5
5*3=15+1=16
5*5=25+2=27
.
.
.
5*11=55+5=60
The denominator being 2,3,5,6,7...
Thus answer is 60/7

Like? Yes (1) | No   

neeraj   9 years AGO

all difference 11
5/2,16/3,27/4,38/5,49/6,60/7

Like? Yes (1) | No   

KARRI V V S B VAMSI KRISHNA REDDY   9 years AGO

in numerator add +11 that gives 60
in denominator add +1 that gives 7
hence answer is 60/7

Like? Yes (1) | No   

shahbaz Alam Ansari   9 years AGO

60/7

Like? Yes (1) | No   

aman   9 years AGO

Num + 11
Den + 1

Like? Yes (1) | No   

nitin kishore   9 years AGO

numerator is increasing by 11 and denominator by 1.
So the next number will be 60/7

Like? Yes (1) | No   

charu goyal   9 years AGO

Option 10

Like? Yes (1) | No   

Satya B   9 years AGO

the series in the form of (numerator+11)/(denomenator+1)

Like? Yes (1) | No   

rambabu   9 years AGO

all the numerator's differance is 11...so 49-60=11,
10)60/7

Like? Yes (1) | No   

aaditya raj   9 years AGO

5,16,27.... all are increasing by 11
and 2,3,4....all are increasing by 1
so ans is 60/7

Like? Yes (1) | No   

Ashok   9 years AGO

numberator increments by 11
denom by 1

Like? Yes (1) | No   

Gagandeep Singh   9 years AGO

Difference between the numerators is 11 i.e.
16-5 = 11
27-16 = 11
38-27 = 11
49-38 = 11
and the denominators are increasing in the sequence of simple natural numbers
so ans would be 60/7

Like? Yes (1) | No   

priya   9 years AGO

in numerator difference is 11 and in denomenator the difference is 1.

Like? Yes (1) | No   

Rahul Hooda   9 years AGO

Add 11 in numerator and 1 in denominator for every successive element.

Like? Yes (1) | No   

vasavi kandagatla   9 years AGO

(5+5+5+1)=16/3, (16+5+5+1)=27/4, (27+5+5+1)=38/5, (38+5+5+1)=49/6, similarly (49+5+5+1)=60/7

Like? Yes (1) | No   

Prasanth Kumar B   9 years AGO

Here every number is coming from
In numerator multiple of five +(n)
where n=0,1,2,3....
in denominator it is increased by one digit

Like? Yes (1) | No   

KALYAN KUMAR REDDY VALLURU   9 years AGO

no need to think about denominator,
observe numerator, the pattern looks like:
(5*1)+0=5
(5*3)+1=16
(5*5)+2=27
(5*7)+3=38
(5*9)+4=49
(5*11)+5=60

Like? Yes (1) | No   

Parashuram s v   9 years AGO

(5*1+0)/2,(5*3+1)/3,(5*5+2)/4,(5*7+3)/5,(5*9+4)/6,(5*11+5)/7

Like? Yes (1) | No   

RAKESH ARYA   9 years AGO

(5+11)/(2+1),(16+11)/(3+1),(27+11)/(4+1),(38+11)/(5+1),(49+11)/(6+1)

Like? Yes (1) | No   

varun thakur   9 years AGO

05/2
05+11/2+1
16+11/3+1
::
49+11/6+1=60/7ans

Like? Yes (1) | No   

Kaushal Kumar    9 years AGO

difference between two consecutive numerator value is 11 and denominator is increasing by 1

Like? Yes (1) | No   

Avinash   9 years AGO

nem=nem+11 and dem=dem+1

Like? Yes (1) | No   

peddinti sathishkumar   9 years AGO

(5*1)/2
(5*3+1)/3
(5*5+2)/4
(5*7+3)/5
(5*9+4)/6
(5*11+5)/7

Like? Yes (1) | No   

K KETHANA   9 years AGO

5+11=16
16+11=27
27+11=38
38+11=49
49+11=60
and denominators are increased by 1

Like? Yes (1) | No   

UPANYA M   9 years AGO

increment by 11

Like? Yes (1) | No   

SHEELA S   9 years AGO

option 10

Like? Yes (1) | No   

shareef   9 years AGO

49+11= 60
ans is 60/7

Like? Yes (1) | No   

Divya jain   9 years AGO

5+11=16
16+11=27
27+11=38
38+11=49
49+11=60

Like? Yes (1) | No   

Thirupathi Reddy   9 years AGO

5+11=16
16+11=27
27+11=38
38+11=49
49+11=60
Therefore ans is 60/7

Like? Yes (1) | No   

Narendra Rajesh Kumar.R.C   9 years AGO

11 adds in the upper part .. 1 adds in the lower part

Like? Yes (1) | No   

mohit chugh   9 years AGO

16-5=11
27-16=11
38-27=11
................
...............
60-46=11

and

2 3 4......7

So ans is 60/7

Like? Yes (1) | No   

Math Lovers   9 years AGO

NUMERATOR and DENOMINATOR both are in increasing order.
Difference between Denominator is 1 while difference between numerator is 11
so next number is 60/7

Like? Yes (1) | No   

Madhumoy Gope   9 years AGO

the series is,
5/2,(5+11)/(2+1),(16+11)/(3+1),(27+11)/(4+1),(38+11)/(5+1)
So,the next no. is (49+11)/(6+1)=60/7

Like? Yes (1) | No   

ganesh babu   9 years AGO

5, 16, 27, 38, 49, 60
2, 3, 4, 5, 6, 7

Like? Yes (1) | No   

GIRISH TYAGI   9 years AGO

numerators 5 , 5*3 + 1, 5*5+2, 5*7+3, 5*9+4, so next term should be 5*11+5= 60

Like? Yes (1) | No   

sivapuram nikhilesh   9 years AGO

numerator is added with 11
denominator is added with1

Like? Yes (1) | No   

Bheemaray s vangi   9 years AGO

5+11=16 then go on adding 11 to sum

Like? Yes (1) | No   

swathi   9 years AGO

denominators are in the sequence 2,3,4,5,6, so our answer denominator is 7 and numerators are added by 11 so 49+11=60

Like? Yes (1) | No   

LOKESWARI   9 years AGO

numerator difference is 11
denominator sequence following 2,3...

Like? Yes (1) | No   

shree kant   9 years AGO

difference between two digit is 11..

Like? Yes (1) | No   

ARUNPANDIYAN   9 years AGO

5+11=16
like that 49+11=60

Like? Yes (1) | No   

Prithwijit Ghosh   9 years AGO

5+11=16
2+1=3

Like? Yes (1) | No   

sikander kumar   9 years AGO

denomerator is increased by one and numerator is increased by 11

Like? Yes (1) | No   

Vishakha Tinkhede   9 years AGO

denominator is in increasing order,,,2,3,4,5,6,7
and in numerator diff . is of 11 between two consecutive terms like 16-5 = 11 then, 38-27 = 11 and hence 60-49 = 11..Thus answer is 60/7 ie, 10th one.....

Like? Yes (1) | No   

LOKESH KUMAR   9 years AGO

5*3+1=16
5*5+2=27
5*7+3=38
5*9+4=49
5*11+5=60
And Denominator is increasing by 1.
So 60/7

Like? Yes (1) | No   

sompon temtheerakij   9 years AGO

5+11=16
16+11=27
27+11=38
38+11=49
49+11=60

Like? Yes (1) | No   

Anshul Garg   9 years AGO

Numerator + 11 = next Numerator
Denominator + 1 = Next denominator

Like? Yes (1) | No   

avnish   9 years AGO

add 11 to numerator

Like? Yes (1) | No   

PIYUSH KUMAR   9 years AGO

16-5=11
27-16=11
38-27=11
49-38=11
difference between=11
so,
49+11=60
Answer--- 60/7

Like? Yes (1) | No   

SAGNIK PAL   9 years AGO

In the numerator (add 11 to each term of the numerator, to get the next term)= 5+11 = 16
& in the denominator (add 1 to each term of the denominator, to get the next term)=2+1=3.
In this way, we get the sixth term as 60/7.

Like? Yes (1) | No   

keerthana chennamsetty   9 years AGO

the difference between each number in numerator is 11. and denominator is a sequence of numbers.

Like? Yes (1) | No   

vaishnavi   9 years AGO

in numerator difference is 11,
in denominator difference is 1,
so after 49 the no is 60,
after 6 the no is 7,
so it is 60/7

Like? Yes (1) | No   

Rishikesh Ranjan   9 years AGO

numerator is increased by 11; and denominator is increased by 1

Like? Yes (1) | No   

Gokul Krishnan   9 years AGO

5/2,16/3,27/4,38/5,49/6,60/7
hence it is a sequence of 11 on numerator and denominator is increased by 1

Like? Yes (1) | No   

Ravi Bhalani   9 years AGO

a_n = (11 n-6)/(n+1) (for all terms given)

Like? Yes (1) | No   

Harshad    9 years AGO

a_n = (11 n-6)/(n+1) (for all terms given)

Like? Yes (1) | No   

Divya Jain   9 years AGO

add 11 in numerator and 1 in denominator, the next sequence will become 60/7

Like? Yes (1) | No   

rayvadera meet    9 years AGO

5+11=16+11=27+11=38+11=49+11=60
2+1=3+1=4+1=5+1=6+1=7

Like? Yes (1) | No   

Jitendra Kumar   9 years AGO

There is a difference of 11 in the series between consecutive terms.

Like? Yes (1) | No   

Srinivas   9 years AGO

(5*3+1)/3,
(5*5+2)/4,
(5*7+3)/5,
(5*9+4)/6,
(5*11+5)/7

Like? Yes (1) | No   

smriti   9 years AGO

coz in numerator every digit is increasing by 1 and denominator is also increasing by 1 of that previous one

Like? Yes (1) | No   

Daras rani   9 years AGO

Denominator: 6+1=7
Numerator: 49 +11=60

Like? Yes (1) | No   

APPIKONDA SANTOSH NAIDU   9 years AGO

60/7

Like? Yes (1) | No   

G Naresh Reddy   9 years AGO

11 is increasing in every next option

Like? Yes (1) | No   

shabana banu shaik   9 years AGO

diff b/w 5 and 16 is 11....in d same way 27 and 16 is 11.......in numerators where as denominators are increased by one.......in each fraction......in d same way....49+11=60........in d numerator,where as denominator is 7....increased by 1

Like? Yes (1) | No   

vishwa   9 years AGO

60/7

Like? Yes (1) | No   

sandeep kumar   9 years AGO

all numerator difference is 11
then ,
11+49=60/7

Like? Yes (1) | No   

pravallika   9 years AGO

by adding 11 to the numerator we get the next sequence,also the denominator is 7

Like? Yes (1) | No   

vivek   9 years AGO

as the series begins with 5/2,16/3....
5+11/2+1=16/3.......49+11/6+1=60/7

Like? Yes (1) | No   

Meenakshi   9 years AGO

In numerator adding 11 to previous number and get the next number
5+11=16
16+11=27
27+11=38
38+11=49
49+11=60
In denominator each term is a successive order 2,3,4,5,6,7,...
so next number is 60/7
option 10)

Like? Yes (1) | No   

gunjan tiwari   9 years AGO

in numerator
(5*1) +0 =5
(5*3) +1= 16
(5*5) +2 = 27
(5*7)+ 3 = 38......

in denominator
+1 of previous number

Like? Yes (1) | No   

valaboju.divya   9 years AGO

numerator difference is 11

Like? Yes (1) | No   

KARTHI PALANISAMY   9 years AGO

bcoz 1 is added with denominator ,and 11 is added with ne

Like? Yes (1) | No   

rachana radharapu   9 years AGO

units and tens place is increased by 1 in the numertor

Like? Yes (1) | No   

ramya   9 years AGO

(5*1),[(5*2)+6],[(5*4)+7],[(5*6)+8],[(5*8)+9],[(5*10)+10].....

Like? Yes (1) | No   

nitya srivastava   9 years AGO

Difference between 16-5=11,27-16=11,......so on that's why. Answer is 60/7

Like? Yes (1) | No   

saranya.s   9 years AGO

The difference between first two numbers are 11 ie) 16- 5= 11

16 + 11 = 27
27 + 11 = 38
38+11= 49
49+11 = 60
And the denominator is number series 1, 2, 3, 4, 5, 6 so 7
Ans: 60/7

Like? Yes (1) | No   

Sudipta Kundu   9 years AGO

5,16,27,38,49,60
1,2,3,4,5,6,7

Like? Yes (1) | No   

priyanka jadhavar   9 years AGO

Numerator increases by +11 and denominator increases by +1
answer=60/7

Like? Yes (1) | No   

sudhakar   9 years AGO

ans 60/7

Like? Yes (1) | No   

Akhilendra Pratap yadav   9 years AGO

5 ,16 , 27 ,38, 49,...increase by 11..so nxt is 49+11 = 60..
2,3,4,5,6..increase by 1..so next no is .7..
ans- option 10..(60/7)

Like? Yes (1) | No   

anusha   9 years AGO

in denominator 2,3,4,5,6 and the next sequence is 7
in numerator add 11 to the previous number for getting present number

Like? Yes (1) | No   

navya chalasani   9 years AGO

the sequence is multiple of prime number(1,3,5,..,11) with additon of 0,1,,,5. 5*11+5=60
from denominator is the sequence of natural numbers... next number is 7.
hence 60/7 is the answer

Like? Yes (1) | No   

dan   9 years AGO

in numerator num increases by 11 and denominater is a sew

Like? Yes (1) | No   

nilisha anand   9 years AGO

numerator with difference 11 and denominator WITH 1

Like? Yes (1) | No   

manohar kumar singh   9 years AGO

numerator +11 and denominator +1

Like? Yes (1) | No   

sasikala   9 years AGO

5+11=16, 16+11=27 likewise 49+11=60 and divider 2,3,.....so after 6 itz obviously 7

Like? Yes (1) | No   

RAVI KUMAR   9 years AGO

numerator increased by 11
denominator increased by 1
49+11/6+1=60/7

Like? Yes (1) | No   

jitendra singh shekhawat   9 years AGO

because denominator is increasing by 1 and numerator is increasing by 11

Like? Yes (1) | No   

Settipalli.Anil Reddy   9 years AGO

5+11=16
16+11=27
27+11=38
38+11=49
49+11=60
Therefore 60/7

Like? Yes (1) | No   

sandeep ramchandra pawaskar   9 years AGO

Option 10 is correct

Like? Yes (1) | No   

rahul kumar   9 years AGO

as in the numerator each next digit is 11
and the donomentor is incrementing by 1

Like? Yes (1) | No   

Arnab Ghosh   9 years AGO

11 diff in num
1 in deno

Like? Yes (1) | No   

Jaspalsingh Parmar   9 years AGO

difference goes on increasing
17/6,17,12,17/20,17/30,17/42
so
49/6 + 17/42 = 65/7

Like? Yes (1) | No (1)  

Jay parmar   9 years AGO

option 10 is correct

Like? Yes (1) | No (1)  

06 Mar 2015 Percentage

17% of 17 + 18% of 18 = 19% of x
then x is lying in the range

OPtion

1) (20, 30)
2) (25, 35)
3) (35, 40)
4) (40, 45)
5) (15, 25)
6) (10, 20)
7) (5, 30)
8) (0, 20)
9) (35, 45)
10)None of these

Solution

17*17 + 18*18 = 19*x
x = 613/19 = 32.26

Option 2)

Correct Option: 2 Best Solution (63)

Supriya Mondal   9 years AGO

17% of 17=2.89
18% of 18=3.24
So, total=2.89+3.24=6.13
So, we can write=19% of x=6.13
so, x=32.26
So, option 2)(25,35) is the right answer

Like? Yes (9) | No (2)  

sindhura   9 years AGO

17*17+18*18=19x =>x=32.26

Like? Yes (6) | No (1)  

CHAYAN KUMAR   9 years AGO

(17*17+18*18)/19=32.26
i.e between 25 & 35

Like? Yes (5) | No (1)  

Vishakha Tinkhede   9 years AGO

(289 + 324)/19 = 32.--- i.e, lie in the range (25,35) ans 2)

Like? Yes (5) | No (1)  

Yathiraj   9 years AGO

x = (0.17*17 + 0.18*18)/0.19
x=32.26 => Range (25, 35)

Option 2

Like? Yes (3) | No (1)  

JANARTHANAN RAM   9 years AGO

17% of 17 + 18% of 18 = 19% of x
2.89+3.24=.19x;
x=32.22;
so ans is (25,35).....

Like? Yes (3) | No (2)  

Jaspalsingh Parmar   9 years AGO

option 2 is correct

Like? Yes (2) | No (1)  

Jay parmar   9 years AGO

option 2 is correct

Like? Yes (2) | No (1)  

Pranati Kundu   9 years AGO

(17/100)*17+(18/100)*18=+19/100)*x
100/19(2.89+3.24)=x
x=32.26315789
x lies in (25,35)
hence option 2 is correct

Like? Yes (1) | No   

arush gupta   9 years AGO

ans 32.2 that is (25,35)

Like? Yes (1) | No   

Santosh Kumar   9 years AGO

17 % of 17 = (17*17)/100 = 2.89
18 % of 18 = (18*18)/100 = 3.24
and both are 2.89 + 3.24 = 6.13
then
x % of 19 = 6.13
or (x*19)/100 = 6.13
or x = (6.13*100)/19 = 32.26
so range is option (2)
(25,35)

Like? Yes (2) | No (1)  

madhusudhana   9 years AGO

17% of 17 = 2.89
18% of 18 = 3.24

17% of 17 + 18% of 18 = 19% of x
2.89 + 3.24 = 19% of x
6.13 = 19% of x
x = 6.13/19%
x = 32.26
Option 2 is the right range.

Like? Yes (2) | No (1)  

SANDEEP   9 years AGO

17% of !7+18%of 18=19% 0f X
2.89+3.24=19%of x
6.13=19%of X
x=613/19
x=32.26

Like? Yes (1) | No   

aman aditya   9 years AGO

17%of 17+18%of 18=6.13
(19/100)*x=6.13
So. X=32.2

Like? Yes (1) | No   

charan   9 years AGO

17% OF 17 + 18% OF 18=2.89 + 3.24 = 6.13 = 19% OF X = 0.19X
X=6.13/0.19=32.26

Like? Yes (1) | No   

pratyusha yarra   9 years AGO

((17/100)*17)+ ((18/100)*18)=19/100*x
x=613/19
x~32.3
so it ranges between 25-35

Like? Yes (1) | No   

tasho k   9 years AGO

Solving above eq
(289+324)÷19=32.3
so 25 to 35 range

Like? Yes (1) | No   

neeraj   9 years AGO

(17*17+18*18)/100=(19*x)/100
then find x=?
x lying b/w (25,35)

Like? Yes (1) | No   

vishwa   9 years AGO

32.2

Like? Yes (1) | No   

shahbaz Alam Ansari   9 years AGO

613/19
= 32.263....

Like? Yes (1) | No   

Vidhya   9 years AGO

289+384/100=19x/100
613/19=x=around 32
Option 2:(25,35)

Like? Yes (1) | No   

mustain ahmed   9 years AGO

(17*17/100)+(18*18/100)=(19*x/100)
......calculate...,.........
(19*x/100)=6.13
X=32.26
Hence option-2 is correct

Like? Yes (1) | No   

Srinivas   9 years AGO

(17*17+18*18)/100=19x/100
=> 613/100=19x/100
=>x=613/19
=>x=32.26

Like? Yes (1) | No   

Amritesh Kumar   9 years AGO

2.89+3.24=19%ofx
x=32.26

Like? Yes (1) | No   

aman   9 years AGO

17%of 17 =2.89
18% of 18 = 3.24
19% of x =.19x
2.89 + 3.24 = .19x
X = 32.26

Like? Yes (1) | No   

Pravallika Lingam   9 years AGO

17% of 17 + 18% of 18= 19% of x
2.89+3.24=19/100*x
6.13=19/100*x
613=19*x
x=32.26
so answer is option 2 ie., between 25,35

Like? Yes (1) | No   

Kaju Gupta   9 years AGO

17*17/100 + 18*18/100 = 19x/100

x=613/19 = 32.2

which lies between (25 to 35)


option 2)

Like? Yes (1) | No   

KARRI V V S B VAMSI KRISHNA REDDY   9 years AGO

(0.17*17 + 0.18*18)/0.19 = x
X = 32.263

Like? Yes (1) | No   

mohit chugh   9 years AGO

3.24+2.89=.19x
x=32.2

Like? Yes (1) | No   

sompon temtheerakij   9 years AGO

17% of 17 + 18% of 18 = (17*0.17)+(18*.018) = 6.13
0.19 X = 6.13 --> X = 32.26
x is lying in the range (25, 35)

Like? Yes (1) | No   

Pankaj kumar   9 years AGO

x=32.19 ; so x: (25,35)

Like? Yes (1) | No   

THANUKU DEEKSHITH   9 years AGO

17%of 17+18% of 18=19% of x
(17/100)*17+(18/100)*18=(19/100)*x
by solving we get x as approx 32

Like? Yes (1) | No   

Testing Account   9 years AGO

17% of 17=2.89
18% of 18=3.24..
so total=6.13.
and the 19% of 32.26=6.129=6.13..
so option 2 is correct (25,35)

Like? Yes (1) | No   

Shintala Divya   9 years AGO

17%(17)+18%(18)=6.13
6.13=19%(x)
613/19=x
i..e,..x=32.2=>option 2 satisfies it

Like? Yes (1) | No   

shakeel ahamed   9 years AGO

(.17*17)+(0.18*18)=0.19*x
6.13=.19*x
x=32.2631
ans :: 32 lies b/n range (25,35)

Like? Yes (1) | No   

Ruchi Kumari   9 years AGO

value of X is 32.26 so it is lying in the range (25,35)

Like? Yes (1) | No   

KALYAN KUMAR REDDY VALLURU   9 years AGO

(17*0.17)+(18*0.18)=19*(x/100)
x= will be between 25 to 35

Like? Yes (1) | No   

Rasim Makhija   9 years AGO

2.89+3.24=.19x
x=33.2(approximate)

Like? Yes (1) | No   

Ponnambalam   9 years AGO

(17*17)/100 + (18*18)/100=613/100
19/100*x=613/100
x=(613/100)*(100/19)
x=32.26
so x range will be sure in (25,35)
so correct option is 2

Like? Yes (1) | No   

Madhumoy Gope   9 years AGO

17*17/100+18*18/100=x*19/100
or, 324+289=19*x
so, x=613/19=32.26
So, the range is (25,35)
Option (2) is correct

Like? Yes (1) | No   

SUNIL GUPTA   9 years AGO

2.89+3.24=19%of x
6.13=.19x
x=32.63

Like? Yes (1) | No   

sandeep kumar   9 years AGO

ANS=2,,,,,
(25,35)

Like? Yes (1) | No   

POOJA SINGH   9 years AGO

(17*17)/100+(18*18)/100=(19*x)/100
289+324=19x
x=32.26
which lies in the region (25,35)

Like? Yes (1) | No   

RAKESH   9 years AGO

289+324= 19 or, x = 613/19 = 32.

Like? Yes (1) | No   

sudhakar   9 years AGO

option)2

Like? Yes (1) | No   

ADARSH GAURAV   9 years AGO

32.2 is the answer.

Like? Yes (1) | No   

Math Lovers   9 years AGO

17% of 17 + 18% of 18 = 19% of x
=> 269 + 324 = 19x
=> x = 593/19 = 31 (approax)

Like? Yes (1) | No   

Tarun   9 years AGO

as 17% of 17 = 2.89
+ 18% of 18 = 3.24
---------------------------------------
19% of x = 6.13

Thus x = (613/100)*(100/19) = 32.26 ~= 32

Like? Yes (1) | No   

Divya jain   9 years AGO

when solve x= 30.1

so its clearly in the range (25,35)

Like? Yes (1) | No   

Divya Jain   9 years AGO

((17/100)*17+(18/100)*18)/(100/19)=x
32.26=x(lies btwn 25&35)

Like? Yes (1) | No   

Muppana Surya Teja Kiran   9 years AGO

17% of 17 is 2.89
18% of 18 is 3.24
Addition=6.13
then (19*x)/100=6.13
Ultimately x=32.26

Like? Yes (1) | No   

Udhaya kumar   9 years AGO

17 * 17/100 + 18 * 18/100 = 19 * X/100
X = 32......(25 - 35)

Like? Yes (2) | No (1)  

Abhik Das   9 years AGO

solving the above equation we get
x=(2.89+3.24)/.19
or x=32.26

Like? Yes (2) | No (2)  

Surit Datta   9 years AGO

17 % of 17 = 2.89
18 % of 18 = 3.24
summation of these two is = 2.89 + 3.24 = 6.13
32.26 % of 19 = 6.13
so option 2
that's it.

Like? Yes (2) | No (2)  

MRITUNJAY   9 years AGO

17*17/100+18*18/100=19*x/100
289+324=19x
613=19x
x=32.3
range is 25,35
option 2.

Like? Yes (3) | No (3)  

SANTOSH SAHOO   9 years AGO

(17/100)*17+(18/100)*18=(19/100)*x
=1/100(17*17+18*18)=19x/100
=(17*17+18*18)/19=x
=x=32.26.. [25,35]

Like? Yes (1) | No (1)  

Parashuram s v   9 years AGO

17*17/100+18*18/100=19*x/100
613/19=x
x=32.9
which is lying in the range 25 to 35

Like? Yes (2) | No (2)  

ABHINAV PUSHPAM   9 years AGO

Option 2

Like? Yes (1) | No (1)  

J.DHANDAPANI   9 years AGO

It is so easy by converting the percentage

Like? Yes (2) | No (2)  

Saravanakumar   9 years AGO

17/100*17+18/100*18=19/100*x

2.89+3.24=19/100*x

x = 6.13*100/19

x=32.26

Like? Yes (2) | No (2)  

Rishikesh Ranjan   9 years AGO

x=32..26

Like? Yes (1) | No (1)  

Preethi   9 years AGO

32.2 is ans

Like? Yes (1) | No (1)  

komatireddy shilpa   9 years AGO

32.263

Like? Yes (1) | No (1)  

05 Mar 2015 Who speak only one language

In a colony 100 persons speak Hindi, 90 speak English, 80 speak Urdu, 40 speak Hindi and Urdu, 30 speak Urdu and English, 25 speak Hindi and English. If 10 person speak all the 3 language, than total person in the colony, who speak only one language

OPtion

1) 70
2) 75
3) 80
4) 85
5) 90
6) 95
7) 100
8) 105
9) 110
10)120

Solution

Hindi speaking person 100
Hindi and Urdu speaking person 40
Hindi and English speaking person 25
3 language speaking person 10
So only Hindi and Urdu speaking person = 40-10 = 30
Only Hindi and English speaking person = 25-10 = 15
so only Hindi speaking person = 100-30-15-10 = 45
Similarly
English speaking person = 90
English and Urdu speaking person = 30
English and Hindi speaking person = 25
so only English and Urdu speaking person = 30-10 = 20
Only English and Hindi speaking person = 25-10 = 15
So only English speaking person = 90-20-15-10 = 45
Similarly
Urdu speaking person = 80
Urdu and Hindi speaking person = 40
Urdu and English speaking person = 30
so only Urdu and Hindi person = 40-10 = 30
Only Urdu and English speaking person = 30-10 = 20
so only Urdu speaking person = 80-30-20-10 = 20

So one language speaking person = 45+45+20 = 110

Option 9)

Correct Option: 9 Best Solution (39)

Supriya Mondal   9 years AGO

Speak only hindi=100-(30+15+10)=45
Speak only english=90-(20+15+10)=45
Speak only urdu=80-(30+20+10)=20
So, total=45+45+20
=110
So, option 9)110 is the right answer

Like? Yes (6) | No (2)  

Yathiraj   9 years AGO

From the given data
H=100, E=90, U=80
H∩U=40, U∩E=30, H∩E=25 and H∩E∩U=10
Now,
Those who speak only Hindi & Urdu will be
(H∩U)' = H∩U - H∩E∩U => 40-10=30
similarly,
(U∩E)' = U∩E - H∩E∩U => 30-10=20
(H∩E)' = H∩E - H∩E∩U => 25-10=15
Only those who speak only Hindi, H' will be
H' = H - ((H∩U)' + (H∩E)' + H∩E∩U) = 100-(30+15+10) = 45
similarly,
E' = 90-(20+15+10) = 45
U' = 80-(30+20+10) = 20
Hence, total no. of people who speak only one language will be
H'+E'+U' = 45+45+20 = 110

Like? Yes (4) | No (2)  

Sanu Panji   9 years AGO

110

Like? Yes (1) | No   

RAKESH   9 years AGO

only one = (100+90+80) - 2*(40+30+25) + 3*10 = 110

Like? Yes (2) | No (1)  

arush gupta   9 years AGO

ans 110

Like? Yes (1) | No   

SANTOSH SAHOO   9 years AGO

only hindi=|h|-|h^e|-|h^u|+|h^e^u|
=100-25-40+10
=45
only english=|e|-|h^e|-|e^u|+|h^e^u|
=90-25-30+10
=45
only urdu=|u|-|u^e|-|h^u|+|h^e^u|
=80-30-40+10
=20
only one language=45+45+20=110

Like? Yes (1) | No   

sompon temtheerakij   9 years AGO

speak only Hindi = 100-(40-10)-(25-10)-10 = 45
speak only English = 90-(30-10)-(25-10)-10 = 45
speak only Urdu = 80-(40-10)-(30-10)-10 = 20
speak only one language = 45+45+20 = 110

Like? Yes (1) | No   

sravani   9 years AGO

n(H U E U u)=n(H)+n(E)+n(u)-n(H ^ E)-n(H ^ u)-n(E ^ u)+n(H^E^u)

Like? Yes (2) | No (1)  

aman   9 years AGO

H= Hindi
E=English
U=Urdu

a+d+e+f = 100, d+b+g+f = 90, e+f+g+c= 80,
e+f= 40, f+g= 30, d+f= 25, f=10
On solving f=10, d=15, g=20, e=30
a=45,b=45,c=20
a+b+c=110

Hindi and English = d+f
English and Urdu =f+g
Hindi and Urdu =e+f

All 3 subject =f
Only 1 subject = a+b+c

Like? Yes (1) | No   

Ankit   9 years AGO

Venn diagram

Like? Yes (1) | No   

Harish Reddy Namala   9 years AGO

H--> 45
E --> 45
u ---> 20
total --> 110

Like? Yes (1) | No (1)  

MD SOHAIL AKHTER   9 years AGO

from venn diagram,
person who speaks only eng= 45
person who speaks only hin= 45
person who speaks only urdu= 20
person who speaks only one language = 45+45+20

Like? Yes (1) | No (1)  

KALYAN KUMAR REDDY VALLURU   9 years AGO

45+45+20=110

Like? Yes (1) | No (1)  

J.DHANDAPANI   9 years AGO

USING VENN DIAGRAM-IT IS SO EASY

Like? Yes (1) | No (1)  

Dorababu M   9 years AGO

let
n(H)=100
n(E)=90
n(U)=80
n(H&U)=40
n(U&E)=30
n(H&E)=25
n(H&U&E)=10
Formula for finding no.of persons speak exactly one language is :
=n(H)+n(U)+n(E)-2n(H&E)-2n(H&U)-2n(U&E)+3n(H&E&U)
=100+80+90-50-80-60+30
=110
then 9 is correct option

Like? Yes (1) | No (1)  

CHAYAN KUMAR   9 years AGO

people speak only hindi = 100-25-40+10 = 45
people speak only english=90-25-30+10=45
people speak only urdu=80-40-30+10=20
so,total people who speak only one language=45+45+20=110
it is the required ans

Like? Yes (2) | No (2)  

Math Lovers   9 years AGO

Hindi speaking = H =100
English Speaking = E =90
Urdu Speaking = U = 80

Only Hindi speaking = H1 = ?
Only English Speaking = E1= ?
Only Urdu Speaking = U1 = ?

Hindi + English = E1H1 = 40
Urdu + English = U1E1 = 30
Hindu + Urdu = H1U1 = 25

Hindi + English + Urdu = H1E1U1 = 10

=> Only one language speaking people =
H1+E1+U1 = (H + E +U) - 2*(E1H1+U1E1+H1U1) +3*(HE1U1)
= (100+90+80) - 2*(40+30+25) + 3*(10) = 110

Like? Yes (1) | No (1)  

POOJA SINGH   9 years AGO

We can solve the given problem by using venn diagram.
Total person in a colony who speak only one language is 110.

Like? Yes (1) | No (1)  

sindhura   9 years AGO

To determine the No of persons in exactly one set : P(A) + P(B) + P(C) - 2P(AnB) - 2P(AnC) - 2P(BnC) + 3P(AnBnC) ,SO100+90+80-2*40-2*30-2*25+3*10=300-190=110

Like? Yes (1) | No (1)  

Dharmraj Sharma   9 years AGO

It can be solved using Vann diagram
only hind : 45
only english: 45
only urdu: 20
so total:110

Like? Yes (1) | No (1)  

aman aditya   9 years AGO

hindi speaking=100-(15+10+30)=45
english speaking=(90-(15+10+20)=45
urdu speaking=80-(20+30+10)=20
so
45+45+20=110

Like? Yes (1) | No (1)  

Preethi   9 years AGO

100-30-20-10+90-20-15-10+80-30-15-10
=110

Like? Yes (1) | No (1)  

aaditya raj   9 years AGO

solve bye ven diag

Like? Yes (1) | No (1)  

Saravanakumar   9 years AGO

(Hindi+English+urdu) Only = 45+45+20=110

Like? Yes (1) | No (1)  

mustain ahmed   9 years AGO

According to venn diagram total person in the colony who can speak only one language is 185-(25+30+20)=110...hence option-9 is correct.

Like? Yes (1) | No (1)  

krishna   9 years AGO

h=45
e=55
u=20
h+e=25
h+u=30
e+u=20
so only hindi 100-55=45
SO ONLY ENG 90-45=45
SO ONLY URDU 80-60=20
TOTAL =45+45+20=110 ANS

Like? Yes (1) | No (1)  

shareef   9 years AGO

45+20+45=110

Like? Yes (1) | No (1)  

SARAVANAN S K   9 years AGO

hindi=45 urudu=20 english=45

Like? Yes (1) | No (1)  

jalaj   9 years AGO

h=100
e=90
u=80
40=h+u
30=u+e
25=h+e
h+e+u=10
by solving through ven diagram we get 110 as and

Like? Yes (1) | No (1)  

Gobind Kumar   9 years AGO

onlyone language (English+hindi+urdu)= 110

Like? Yes (1) | No (1)  

Kaju Gupta   9 years AGO

E = 90-(25+30)+10 = 45
H = 100-(25+40)+10 = 45
U = 80-(40+30)+10 = 20
total = E+H+U = 110

option 9)

Like? Yes (1) | No (1)  

Shanmugapriya.G   9 years AGO

people reading only one newspaper = (100-55)+(90-45)+(80-60) = 110
use 3 circle model to solve it..

Like? Yes (1) | No (1)  

MRITUNJAY   9 years AGO

this is answer

Like? Yes (1) | No (1)  

jaganmohan rao .pola   9 years AGO

110

Like? Yes (1) | No (1)  

Udhaya kumar   9 years AGO

h=100 h+u=40
e=90 u+e=30
u=80 h+e=25
h+e+u=10
110 is the answer.

Like? Yes (1) | No (1)  

sivaramakrishna   9 years AGO

45+45+20=110

Like? Yes (1) | No (1)  

pratyusha yarra   9 years AGO

all languages 10 people,
english & urdu total 30, but 30-10 is 20 in common
hindi & english total 25, but 25-10 is 15 in common
hindi & urdu total 40, but 40-10 is 30 in common
now, hindi total 100, but 100-(10+15+30)=45 only
english total 90, but 90-(10+20+15)=45 only
urdu total 80, but 80-(10+20+30)=20
now no. of people who speaks only one language is 45+45+20=110

Like? Yes (1) | No (1)  

Meenakshi   9 years AGO

The number of persons speak only one language
=>H+E+U
=>45+45+20
=>110

Like? Yes (1) | No (1)  

sasikala   9 years AGO

hindi=100-40-25+10=45
english=90-25-30+10=45
urdu=80-40-30+10=20
total=45+45+20=110

Like? Yes (1) | No (1)  

04 Mar 2015 Arithmetic Progression

If k, k^2 and (2k+1) are in arithmetic progression then k-(1/2k) is?

OPtion

1) 1/2
2) 1
3) 3/2
4) 2
5) 5/2
6) 5/3
7) 5/4
8) 7/6
9) 6/13
10)3/16

Solution

k k^2 and 2k+1 are in AP
k^2 = (k+2k+1)/2
2k^2 = 3k+1
2k^2 - 1 = 3k
(2k^2 - 1)/2k = 3k/2k = 3/2
k - (1/2k) = 3/2

Option 3)

Correct Option: 3 Best Solution (41)

RAKESH   9 years AGO

k^2 - k = 2k + 1 - k^2
=> 2k^2 - 1 = 3k
divide by 2k
=> k - 1/2k = 3/2

Like? Yes (8) | No (4)  

darshana kumrawat   9 years AGO

k^2 - k=2k+1-(k^2)(on solving quadratic eq )
k=(3+(17^1/2))/4 or k=(3-(17^1/2))/4

Like? Yes (2) | No   

KALYAN KUMAR REDDY VALLURU   9 years AGO

As k, k^2 and (2k+1) are in Arithmetic progression, then
(k^2)-k=(2k+1)-(k^2)
=>2(k^2)-1=3k
=>(2(k^2)-1)/3k=2/3

Like? Yes (2) | No (1)  

Kaju Gupta   9 years AGO

k-(1/2k) = (2k^2 - 1)/2k
k, k^2 and (2k+1) are in arithmetic progression then
k^2 - k = 2k+1-k^2
solve this equation , we get
2k^2 - 1 = 3k
divide both side by 2k,
(2k^2 - 1)/2k = 3k/2k = 3/2

option 3)

Like? Yes (2) | No (1)  

aaditya raj   9 years AGO

k^2=(2k+1+k)/2
K^2=(3k+1)/2
now k-1/2k=(2k^2-1)/2 put value of k^2 here and get 3/2

Like? Yes (3) | No (2)  

nitin kishore   9 years AGO

(k^2)-k = 2k+1 - (k^2)
2*(k^2)-3*k-1 =0;
k= 1.78, -.28

using these values,
we get the value og the given expression as 1.5

Like? Yes (1) | No   

praveen kumar   9 years AGO

as the series is in AP
so , k^2-k = 2k+1-k^2
k=1.78

so k-(1/2k) = 1.5

Like? Yes (1) | No   

Pankaj kumar   9 years AGO

A.M.= ((k)+(2k+1))/2 = k^2
so, 2k^2=3k+1
also 2k^2-1=3k
divide both side by 2k
hence (2k^2-1)/(2k)=3k/2k=3/2
and LHS can be written as
k-(1/2k)=3/2.

Like? Yes (1) | No   

sompon temtheerakij   9 years AGO

f k, k^2 and (2k+1) are in arithmetic progression
k^2 - k = (2k+1) - k^2
2k^2 - 3k - 1 = 0
solve this equation --> k = 1.78
k-(1/2k) = 1.78 - 1/(2*1.78)
k = 3/2

Like? Yes (1) | No   

SUNIL GUPTA   9 years AGO

K^2-K=(2K+1)-K^2
2K^2-1=3K
So
k-(1/2k)=(2k^2-1)/2k=3k/2k=3/2

Like? Yes (3) | No (2)  

Yathiraj   9 years AGO

From the given airthmatic progression,
k^2 - k = (2k+1) - k^2 (as the difference should be same in the sequence).
Hence, from the above, we arrive at the quadratic equation
2k^2-3K-1=0
Applying the quadratic equation formula, we get k = (3 +/- sqrt(17)) / 4
and Hence k-(1/2k) = 3/2

Option 3.

Like? Yes (3) | No (2)  

Pranati Kundu   9 years AGO

k^2-k=(2k+1)-k^2
k=1.78,k=-0.28
putting k=1.78
k-(1/2k)=1.5

Like? Yes (1) | No   

arush gupta   9 years AGO

Ans 3/2

Like? Yes (1) | No   

Sanu Panji   9 years AGO

k+2k+1=2k^2
2k^2-1=3k

so
k-(1/2k)
=(2k^2-1)/2k
= 3k/2k
=3/2

Like? Yes (2) | No (2)  

Supriya Mondal   9 years AGO

From the question we can write,
difference between 2nd and 1st term=difference between 3rd and 2nd term
So, k^2-k=2k+1-k^2
so,2k^2-1=3k

We have to find value of (k-1/2k)=(2k^2-1)/2k
=3k/2k [As we get, 2k^2-1=3k]
=3/2
So, option 3)3/2 is the right answer

Like? Yes (5) | No (5)  

sunilbaba    9 years AGO

k^2-k=2k+1-k^2,

Like? Yes (2) | No (2)  

J.DHANDAPANI   9 years AGO

If k, k^2 and (2k+1) are in arithmetic progression,then 2k^2 = 3k + 1
k- (1/2k) = 2k^2-1/2k
= 3k+1-1/2k
=3k/2k = 3/2

Like? Yes (2) | No (2)  

mustain ahmed   9 years AGO

if a,b,c in A.P then b-a=c-b
K^2-K=2k+1-k^2
..........................
(K-1/2k)=3/2.
Hence option-3 is correct answer

Like? Yes (3) | No (3)  

Manish Srivastava   9 years AGO

k=(2k^2-1)/2k;
put in k-i/2k;
3/2

Like? Yes (1) | No (1)  

Dorababu M   9 years AGO

from ap series (2k+1+k)/2=k^2
2k^2-3K-1=0
2k(k-3/2-1/2k)=0
k-3/2-1/2k=0
k-1/2k=3/2
so Option 3 holds the answer

Like? Yes (2) | No (2)  

PAWAN KUMAR   9 years AGO

Since it is an A.P.
so, k^2 - k = 2k+1 - k^2
On solving, we get (2k^2 - 1) = 3k
So,
(2k^2-1)/2k = 3k/2k = 3/2. Ans.

Like? Yes (1) | No (1)  

Ravi P   9 years AGO

2k^2---3k=0
2k(k-1/2k-3/2)=0
k-1/2k=3/2.

Like? Yes (1) | No (1)  

CHAYAN KUMAR   9 years AGO

the no r in ap so,
k^2-k=2*k+1-k^2
solving,k=(3+17^(1/2))/4,(3-17^(1/2))/4
putting this we get 3/2

Like? Yes (1) | No (1)  

arpit shrivastava   9 years AGO

Solve frst eqn and make it equivalent as second eqn. .
we will easily get 3/2

Like? Yes (1) | No (1)  

ganesh babu   9 years AGO

k, k^2, 2k+1 are in AP
k+2k+1=2(k^2) (1st term+ 3rd term= 2(2nd term))
3k+1=2K^2
3k=2k^2-1
3/2(2k)=2k^2-1
3/2=k-(1/2k)

Like? Yes (1) | No (1)  

rayvadera meet    9 years AGO

k+2k+1=2k^2
Therefore
2K^2-1=3k

k-1/2k=k-1/2k=3/2

Like? Yes (2) | No (2)  

Srinivas   9 years AGO

a,b,c are in a.p means b=(a+c)/2
k^2= (k+2k+1)/2
k-(1/2K)=3/2

Like? Yes (1) | No (1)  

Akhil Malhotra   9 years AGO

We have to find k-(1/2k)
=(2k^2-1)/2k

As it is in AP, so
K^2-k=2k+1-k^2
2k^2-1=3k
Dividing both by 2k
We get (2k^2-1)/2k=3k/2k
Hence the answer is 3/2

Like? Yes (1) | No (1)  

SANTOSH SAHOO   9 years AGO

given AP so
k^2-k=(2k+1)-k^2
2K^2-3k-1=0

now we hv to find k-(1/2k)
=(2k^2-1)/2k
=(2k^2-3k-1+3k)/2k
=(0+3k)/2k (as 2k^2-3k-1=0)
=3/2

Like? Yes (1) | No (1)  

Abhik Das   9 years AGO

simply as they are in A.P
so, (3*k+1)=2*k^2
or (2*k^2-1)=3*k
Now for finding {k-(1/2k)}=(2*k^2-1)/2k=3/2

Like? Yes (1) | No (1)  

shobhit ratna mathur   9 years AGO

its too easy

Like? Yes (1) | No (1)  

Jaspalsingh Parmar   9 years AGO

option 2 is correct

Like? Yes (1) | No (1)  

sandeep ramchandra pawaskar   9 years AGO

Option 3 is correct

Like? Yes (1) | No (1)  

Jay parmar   9 years AGO

option 1 is correct

Like? Yes (1) | No (1)  

Surit Datta   9 years AGO

According to the problem
As it is in A.P so,
k^2 - k = (2*k + 1) - k^2
solving this we get,
2*k^2 - 1 = 3*k
we have to find (k - 1/2*k)
which is (2*k^2 - 1)/2*k
as we know (2*k^2 - 1) = 3*k so,
it is 3*k/2*k = 3/2
so option 3
that's it.

Like? Yes (3) | No (4)  

MD SOHAIL AKHTER   9 years AGO

since it is in ap
therefore, k^2-k=2k+1-k^2
=> 2k^2-1=3k
A/Q
2k-1/2k=(2k^2-1)/2k=3/2

Like? Yes (1) | No (2)  

Harish Reddy Namala   9 years AGO

k^2 - k = 2k +1 -k^2
By solving we get k = (3+ (17^0.5)) /4 and
k = (3- (17^0.5)) /4
By substituting either of the k values we get k-(1/2k) = 3/2

Like? Yes (1) | No (2)  

jalaj   9 years AGO

3/2

Like? Yes (1) | No (2)  

Gobind Kumar   9 years AGO

Comman differance should be same so

K^2-k=2K+1-k^2

BY SOLVING IT WE GET
K-(1/2k)=3/2

Like? Yes (1) | No (3)  

nikhil   9 years AGO

[2k(2) - 1]/k = 3

Like? Yes (1) | No (3)  

ABHINAV PUSHPAM   9 years AGO

Answer is 3/2

Like? Yes (1) | No (3)  

03 Mar 2015 Probability

3 red, 2 white and 3 green balls are available in a bag. 2 balls are drawn one by one from the bag. Probability of one ball having white & other green will be.

OPtion

1) 3/28
2) 3/14
3) 1/28
4) 9/28
5) 1/3
6) 1/8
7) 5/14
8) 1/2
9) 3/7
10)1/7

Solution

Probability of first ball having white colour = 3/8
and that of second ball having green colour = 3/7
so probability = 2/8 * 3/7 = 6/56
and no of methods to make arrangement = 2*1 = 2 (WG and GW)
so net probability = 5/56 * 2 = 12/56 = 3/14

Option 2)

Correct Option: 2 Best Solution (43)

Surit Datta   9 years AGO

total number of balls are 3 + 2 +3 = 8
i have to select the balls such that,
one is white
another is green
so probability is
2C1*3C1/8C2
which is 6/28 = 3/14
so option 2
that's it.

Like? Yes (19) | No (3)  

Supriya Mondal   9 years AGO

Probability will be=(2C1*3C1)/8C2
=3/14
So,option 2)3/14 is the right answer

Like? Yes (4) | No (1)  

Yathiraj   9 years AGO

Total Number of balls = 3+2+3 = 8
Let S be the sample space.
Then n(S) = Number of ways of drawing 2 balls out of 8
=> 8C2 => 28

There are 6 favorable combinations of getting one White and one Green ball. (3 green and 2 white balls)
(G1 W1), (G1 W2),
(G2 W1), (G2 W2),
(G3 W1), (G3 W2)

Hence, Probability = 6/28 => 3/14
Option 2.

Like? Yes (3) | No (1)  

MD SOHAIL AKHTER   9 years AGO

2/8*3/7*2=3/14

Like? Yes (1) | No   

Pranati Kundu   9 years AGO

1st ball white and another ball green =2/8*3/7 or 1st ball green and another ball white =3/8*2/7
prob= 2/8*3/7 + 3/8*2/7
=3/14

Like? Yes (1) | No   

sindhura   9 years AGO

(2c1*3c1)/8c2=6/28=3/14

Like? Yes (2) | No (1)  

sourav pal   9 years AGO

Let S be the sample Space
Then,n(S)=number of ways of drawing 2 balls out of 8.
=8C2=28
Let E be the event of drawing 1 red and 1 green
so,n(E)=2C1*3C1=6
P(E)=n(E)/n(S)=6/28=3/14

Like? Yes (1) | No   

Preethi   9 years AGO

prob to get 1 green out of 8 is 3/8
prob to get 1 white among remaining 7 is 2/7
so 2*2*3/8*7
= 3/14

Like? Yes (1) | No   

Sunil Chavan   9 years AGO

(2C1*3C1)/(8C2)

Like? Yes (1) | No   

Srinivas   9 years AGO

(2c1 * 3c1)/8c2

Like? Yes (1) | No   

nitin kishore   9 years AGO

There can be two possible ways:
a) first ball green and second ball white
b) first ball white and second ball green

so probability:-
(3/8)*(2/7)+(2/8)*(3/7)
3/14

Like? Yes (1) | No   

madhusudhana   9 years AGO

total number of combinations is 28
in that number of favorable combination (1 white and 1 green) will be 6
So the probability of 1 white and 1 green will be 6/28 I.,e 3/14

Like? Yes (1) | No   

Pankaj kumar   9 years AGO

probability of getting one white ball=2.
probability of getting one green ball=3.
total probability=28.
p(w)=2c1=2
p(G)=3c1=3
p(T)=(p(w)*p(G))/(p(T))=3/14.

Like? Yes (1) | No   

vasavi kandagatla   9 years AGO

(2c1*3c1)/(8c2)=6/28=3/14

Like? Yes (1) | No   

Rahul pal   9 years AGO

2C1×3c1/8c2

Like? Yes (1) | No   

neeraj   9 years AGO

(2 white me se 1)*(3 green me se 1)
/(total 8 me se 2 ball)

Like? Yes (1) | No   

Divya Jain   9 years AGO

(2C1*3C1)/8C2=3/14

Like? Yes (1) | No   

aaditya raj   9 years AGO

if first ball is green then probablity is 3/8 and second ball is white probablity is 2/7 if we chose first white then probablity is 2/8 and probablity of green is 3/7 then total probality is = (3/8)*(2/7)+(2/8)*(3/7) = 3/14

Like? Yes (1) | No   

nikhil   9 years AGO

white green = 2/8 * 3/7
green white = 3/8 * 2/7

Like? Yes (1) | No   

Josepheena Joseph   9 years AGO

(2C1x3C1)/8C2 = 3/14

Like? Yes (1) | No   

vishwa   9 years AGO

3/14

Like? Yes (1) | No   

Mounis Swaleh   9 years AGO

(2c1 x 3c1) / 8c2 = 6/ 28 = 3/14

Like? Yes (1) | No   

rayvadera meet    9 years AGO

Probability= (2 into 3/8 into 7) into 2

Like? Yes (1) | No   

karthiga   9 years AGO

(2C1 *3C1)/ 8C2;
= 2*3/(8*7*6!)/6!*2!
= 3/14.
Answer is 3/14

Like? Yes (1) | No   

SAHANA M   9 years AGO

(2c1*3c1)/8c2

Like? Yes (1) | No   

Arpitha Loka   9 years AGO

total balls=8
2 are drawn from them so 8c2 ways=28
drawing one ball from white and other from green=2c1x3c1
=6 ways
probability of one ball having white and other green =6/28
i.e.,3/14.

Like? Yes (1) | No   

Shintala Divya   9 years AGO

(2c1*3c1)/8c2=3/14

Like? Yes (1) | No   

sudhakar   9 years AGO

option 2)3/14

Like? Yes (1) | No   

santhoshkumar pariselli   9 years AGO

(3c1*2c1)/(2+3+3)c2=6/28=3/14

Like? Yes (1) | No   

jaganmohan rao .pola   9 years AGO

3/14

Like? Yes (1) | No   

veena pavani   9 years AGO

one ball is white and green so 2c1*3c1=6
two balls drawn from the bag so have to consider total no of balls 8c2=28
probability=6/28=3/14

Like? Yes (1) | No   

ramakrishna   9 years AGO

Let S be the sample space.

Then, n(S) = number of ways of drawing 2 balls out of 8
= 8C2
n(S)=(8*7)/2*1=28


Let E=event of getting one whiteand other green
=2c1*3c1=2*3
n(E)=6

p(E)=n(E)/n(S)
=6/28
=3/14

Like? Yes (1) | No   

pooja   9 years AGO

(2c1*3c1)/8c2=3/14

Like? Yes (1) | No   

ABHINAV PUSHPAM   9 years AGO

Option 2

Like? Yes (1) | No   

rohit Prakash gupta   9 years AGO

(2C1*3C1)/8C1=(2*3)/(4*7)=3/14

Like? Yes (1) | No   

adrino   9 years AGO

[(2/8)*(3/7]+[(3/8)*(2/7)]
3/14

Like? Yes (1) | No   

Jay parmar   9 years AGO

option 2 is correct

Like? Yes (1) | No   

RAKESH   9 years AGO

2/8 * 3/7 + 3/8 *2/7 = 3/14

Like? Yes (1) | No (1)  

aman aditya   9 years AGO

sample space=8c2=28
favorable outcome=2c1 *3c1=6
so
probability=6/28=3/14

Like? Yes (1) | No (1)  

tasho k   9 years AGO

Ball is drawn one by one..
no mention of replacement.
so
2c1×3c1/8c2=3/14

Like? Yes (1) | No (1)  

Ajinkya Kulkarni   9 years AGO

3/14

Like? Yes (1) | No (1)  

KARRI V V S B VAMSI KRISHNA REDDY   9 years AGO

total no. of balls = 3+2+3 = 8
2 balls should be selected from 8 balls = 8c2 = 28
1 ball from white and 1 ball from green = 2c1 * 3c1 = 6
Probability = 6/28 = 3/14

Like? Yes (1) | No (1)  

bollina lakshmi bhargavi   9 years AGO

2c1+3c1/8c1+7c1=5/15=1/3

Like? Yes (1) | No (1)  

02 Mar 2015 Sequence

What is the next number of the following sequence
27, 99, 198, 1089, .....

OPtion

1) 10890
2) 19198
3) 17160
4) 18190
5) 19184
6) 20190
7) 19202
8) 17784
9) 18818
10) 19910

Solution

27
27 + 72 = 99
99 + 99 = 198
198 + 891 = 1089
1089 + 9801 = 10890

Option 1)

Correct Option: 1 Best Solution (19)

Harish Reddy Namala   9 years AGO

The series should be 27,99,198,1089,....
27 + 72 = 99
99 + 99 =198
198 + 891 = 1089
1089+ 9801 = 10890

Like? Yes (8) | No (1)  

Jaspalsingh Parmar   9 years AGO

option 1 is correct

Like? Yes (2) | No   

tasho k   9 years AGO

Reversing the digits of number and then adding..
198 +891=1089
1089+9801=10890

Like? Yes (2) | No   

putty keerthi   9 years AGO

here,first the interchange numbers,after they put 0

Like? Yes (2) | No   

Nikita Khare   9 years AGO

sum of digits is equal to 9

Like? Yes (2) | No   

Renugadevi   9 years AGO

option is 1

Like? Yes (2) | No (1)  

KALYAN KUMAR REDDY VALLURU   9 years AGO

only option 1 and 8 are divisible by 9, option i will best suits

Like? Yes (2) | No (1)  

Jitendra Prasad   9 years AGO

27+72=99*2=198
198+891=1089
1089+9801=10890

Like? Yes (2) | No (1)  

sandeep kumar   9 years AGO

ANS= 10890

Like? Yes (1) | No   

Pankaj kumar   9 years AGO

sum of digit is multiple of 9 so option 1:1+0+8+9+0=18.same as problem.

Like? Yes (1) | No   

surendiran   9 years AGO

b

Like? Yes (2) | No (1)  

madhusudhana   9 years AGO

in this sequence all numbers are divisible of 9. in the given list of answers only 1st and 8th are the divisible of 9 without a decimal part left. so if we have to pick up the answer only from the given option 10890 would be the right pick.

Like? Yes (2) | No (1)  

surya    9 years AGO

Since it is odd number

Like? Yes (1) | No   

ABHINAV PUSHPAM   9 years AGO

Guess

Like? Yes (1) | No   

RAHUL KUMAR   9 years AGO

Ans is 10890

Like? Yes (1) | No   

Preeti Jain   9 years AGO

as the given numbers in sequence are divisible by 9 and in given option only 1st that is 10890 is divisible by 9.

Like? Yes (2) | No (2)  

Prem K   9 years AGO

Addition of all the digits in every elements is equal to "9" . Hence the only such element in the answer is option 1. Also the number of digits is increased by one for every step. Thus I went for option 1

Like? Yes (2) | No (2)  

Shanmugapriya.G   9 years AGO

sum of the digit is 9...so option is 10890

Like? Yes (2) | No (2)  

shahbaz Alam Ansari   9 years AGO

multiple of 9

Like? Yes (2) | No (2)  

27 Feb 2015 Time and Distance

Excluding stoppages, the speed of a bus is 54kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

OPtion

1) 8
2) 9
3) 10
4) 11
5) 12
6) 15
7) 20
8) 21
9) 23
10)24

Solution

Due to stoppage, it covers 9 km less.
Time taken to cover 9 km = 9/54 * 60 min = 10 min

Correct Option: 3 Best Solution (72)

Surit Datta   9 years AGO

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = 9*60/50 min
which is 10 minutes.
so option 3
that's it.

Like? Yes (27) | No (4)  

Dharmraj Sharma   9 years AGO

time taken to travel
54km = 60 min
time taken to travel 1km = 60/54 min
time taken to travel 45 km = (60/54)*45 =50 min

total time bus stops in 1hrs = 60-50 = 10min

Like? Yes (19) | No   

JANARTHANAN RAM   9 years AGO

Bcz of stoppages, it covers 9 km less.
Time to cover 9 km==9/54*60=10min

Like? Yes (13) | No (3)  

Sravanthi   9 years AGO

Total it covers 9 km less.

Time = (9/54)x 60= 10 min.

Like? Yes (6) | No (3)  

kartheek   9 years AGO

let D be the distance travelled
excluding stoppages time be =t1=D/54
includung stoppages time be =t2=D/45
LET extra time be = P = t2-t1 = 9D/(45)*(54)
bus stop per hour is = P/t2 = 1/6 hours
in minutes = 1/6*60 = 10 minutes per bus stop per hour

Like? Yes (4) | No (1)  

SANTOSH SAHOO   9 years AGO

let 1hr=54 with out stoppage
with stoppage 45 so length (9/54)*60=10

Like? Yes (3) | No (1)  

Supriya Mondal   9 years AGO

Ans will be={(54*60)-(45*60)}/54
=10min/hr
So,option 3)10 will be right answer

Like? Yes (4) | No (2)  

Arvind gupta   9 years AGO

actualy bus cover 45 km distance in 1 hour
and actual runnnig time for bus is 45/54*60=50min
so it stops for 10 min

Like? Yes (2) | No   

Sanu Panji   9 years AGO

54-45=9
time= 60*9/54=10 mins

Like? Yes (2) | No   

MRITUNJAY   9 years AGO

Extra distance travelled due to stoppage in 1 hour=54-45=9km
time taken to travel 9 km=1/54*9=1/6 hr
in 1 min stoppage is 1/6*60=10 minutes.

Like? Yes (2) | No   

Bandru Madhu   9 years AGO

The Difference between two speeds is 9.
So time taken by bus to stop per 1 hour is same as time taken in 9kms.
Time = (Distance/Speed) = ( 9/54)*60 = 10 mins.

Like? Yes (3) | No (1)  

Yathiraj   9 years AGO

There is a difference of 9KMs. So, we need to find the time taken to travel 9KMs.
If the bus takes 60 minutes to cover 54 KMs then for 9KMs
(60*9)/54 = 10 minutes.
That means, the bus stops for 10 minutes per hour.

Option 3.

Like? Yes (3) | No (1)  

sindhura   9 years AGO

(54-45)/54=9/54=1/6*60=10min

Like? Yes (3) | No (1)  

urmita das   9 years AGO

difference in average speed=(54-45)=9km/hr
time taken in stopping per hour=(9/54)*60 minutes =10 mins

Like? Yes (2) | No   

CHAYAN KUMAR   9 years AGO

54=45/(1-y)
y=1/6
where y is in hour
so,1/6*60=10 minutes

Like? Yes (2) | No   

Paras Jain   9 years AGO

54 - 45 = 9 => (9/54)*60 = 10 minutes Ans.

Like? Yes (2) | No   

karthick   9 years AGO

option 3 is a correct one..

Like? Yes (3) | No (1)  

Harish Reddy Namala   9 years AGO

due to stoppages speed reduces by 9 km
time to cover 9 km = (9/54) hr's = 1/6 hr's
in minute = 10 mins

Like? Yes (2) | No (1)  

sourav pal   9 years AGO

Time taken to cover 9 km = (9/54) hour
= (1/6)*60 minutes
= 10 minutes

Like? Yes (1) | No   

ABHINAV PUSHPAM   9 years AGO

answer 1s 10

Like? Yes (2) | No (1)  

sheikh shahrukh   9 years AGO

9/54 * 60 minute=10 minute
so the answer is 10

Like? Yes (2) | No (1)  

aman aditya   9 years AGO

speed=54/60 per min
time taken to travel 45 km=45*(60/54)=50 min
so bus stop for 10 min

Like? Yes (1) | No   

MD SOHAIL AKHTER   9 years AGO

54-45=9KM/HR
therefore, stoppage per hour =9/54*60=10 MIN

Like? Yes (1) | No   

RAHUL KUMAR   9 years AGO

Due to stoppage, it covers 9 km less.
time taken to cover 9 km = (9/54)*60=10 min
option 3 is right.

Like? Yes (1) | No   

Satya B   9 years AGO

it travels 9km less due to stoppages

no of minutes bus stops per hour =(9/54 * 60)=10

Like? Yes (1) | No   

Testing Account   9 years AGO

9km less distance that's by time=d/speed we get 10min

Like? Yes (1) | No   

shovan Manna   9 years AGO

54 km in 1 hour
9 km in 1/6 hr
in min it is 10min

Like? Yes (1) | No   

ramakrishna   9 years AGO

due to stoppages speed differece is 54-45=9
to cover 9 km it will take
9/54*60=10min

Like? Yes (1) | No   

Gurram Mahendra ranganath   9 years AGO

ans;10

Like? Yes (1) | No   

Preethi   9 years AGO

if bus travelled at 54 km per hr then it takes 50 mins to travel 45 km so remaining 10 mins it stops

Like? Yes (1) | No   

Jaspalsingh Parmar   9 years AGO

Option 3 is correct

Like? Yes (1) | No   

sandeep ramchandra pawaskar   9 years AGO

Option 3 is correct

Like? Yes (1) | No   

APPIKONDA SANTOSH NAIDU   9 years AGO

10min

Like? Yes (1) | No   

KARRI V V S B VAMSI KRISHNA REDDY   9 years AGO

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = [(9/54)* 60] min = 10 min.

Like? Yes (1) | No   

jaganmohan rao .pola   9 years AGO

10 min

Like? Yes (1) | No   

nagaprasad   9 years AGO

the time difference is 9 km i.e.,(54-45)
and here, with stoppages it is 54 km so (9/54)*60
=>10

Like? Yes (1) | No   

Anil Beck   9 years AGO

Let bus stops for x minutes i.e in x minute, bus goes 0 km.
excluding stoppage bus goes at 54 km/hour.
In 60 minute bus goes 54 km
in x minute bus will go (54/60)*x km = 9x/10 km
So we can write

54 - 9x/10 = 45
9x/10 = 9
x= 10
So in 1 hour bus stoppes for 10 minutes

Like? Yes (1) | No   

arush gupta   9 years AGO

Ans 10km
Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = 9/54 x 60 min = 10 min.

Like? Yes (1) | No   

muthu   9 years AGO

(9 / 54) * 60 = 10

Like? Yes (1) | No   

mohit chugh   9 years AGO

v1 T1 = v2 T2
54(t ) = 45 (t+ t1)
9t = t1

T1 = t
T2 = 10 t

Like? Yes (1) | No   

KALYAN KUMAR REDDY VALLURU   9 years AGO

Suppose take an hour, The bus travels 9km extra than second case in an hour with a speed of 54kmph.
Time taken to travel 9km is=(9/54)hours
which is 10 min=is the time the stops per hour.

Like? Yes (1) | No   

KUMAR HARSH   9 years AGO

Due to stoppages, it covers 9 km less.
Time taken to cover 9 km=(9/54)*60 min=10 minute

Like? Yes (1) | No   

SUSHANT KUMAR   9 years AGO

covers 54 km in 1 hr
covers 0.9 km in 1 min
diff in km for 1 hr= 9km
so total minutes stopped= 10

Like? Yes (1) | No   

charles   9 years AGO

Actual speed of the bus is 54 km/h
It loses 9 km in an hour for stopping
Time taken for 9 km when bus travels @ 54 km/h
Is to be calculated
T=d/s = 9/54 = 1/6 hr
which is 10 min

Like? Yes (1) | No   

shahbaz Alam Ansari   9 years AGO

Due to stoppages, the bus travels only 45 kms in an hour(9 km less).

To cover a distance of 9 km at a speed of 54 kmph, time taken = 9/54
=1/6 hrs
= 10 mins....answer

Like? Yes (1) | No   

poojasaisri   9 years AGO

speed of bus excluding stoppage=54
speed of bus including stoppage=45
loss in speed including stoppage=54-45=9
time=distance/speed=9/54 hour=1/6 hour=60/6=10 min

Like? Yes (1) | No   

Udhaya kumar   9 years AGO

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = 9 /54 x 60 min = 10 min.

Like? Yes (1) | No   

Shanmugapriya.G   9 years AGO

sol:
distance difference b/w two in 1 hr = 9km
so the stoppage time is =(9/54)*60 = 10 min.

Like? Yes (1) | No   

tasho k   9 years AGO

54 km in 60 min...9km less...so 9 km in how many min...

9/54×60=10 min

Like? Yes (1) | No   

Akshaya   9 years AGO

54-45 = 9

(9/54)*60 = 10 min

Like? Yes (1) | No   

manish niranjan   9 years AGO

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = 9 x 60 min = 10 min.
54

Like? Yes (1) | No   

Pranati Kundu   9 years AGO

due to stoppage it travels 9 km less(54-45)
time=9/54×60 min=10 min

Like? Yes (1) | No   

Jitendra Prasad   9 years AGO

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = (9 /54 x 60 ) min = 10 min.

Like? Yes (1) | No   

Raj   9 years AGO

Due to stoppages, it covers 9 km
less.
Time taken to cover 9 km = (9/54)
hour
= (1/6)*60 minutes
= 10 minutes

Like? Yes (1) | No   

Hitesh Sharma   9 years AGO

Bus delayed by 9 km in 1 hr, so to cover 9 km time taken = dist / speed

time = 9km/54 km/h
= 1/6 h
= 1/6×60
= 10 mins

Like? Yes (1) | No   

Swathy Murugan   9 years AGO

Option is 3

Like? Yes (1) | No   

Sameep   9 years AGO

No stoppage speed of bus 0.9 km/min.
With stoppage it cover 45 km in 1 hour.if we allow the bus to travel this distance without stoppage it will take 50 mins, this means rest 10 minutes are stoppage.

Like? Yes (1) | No   

Tasneem Patanwala   9 years AGO

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = 9 x 60 min = 10 min.

Like? Yes (1) | No   

kiran   9 years AGO

Due to stops it covers 9 kms less.

so time taken to cover 9km =(9/54*60)=10 min.

Like? Yes (1) | No   

Vandna Koty   9 years AGO

due to stopage the distance gets reduced=(54-45)kmph=9kmph
time taken=(9/54)*1hr=(1/6)*1hr=(1/6)*60mins= 10mins

Like? Yes (1) | No   

SUNITEE GARIMA   9 years AGO

stopping hr per min =(54-45)/54=1/6 hr=10 mints

Like? Yes (1) | No   

shashidharhiremath   9 years AGO

Due to stoppages, it covers 9 km less.
Time taken to cover 9 km = 9/54 x 60 min = 10 min.

Like? Yes (1) | No   

b.subbarao   9 years AGO

speed of bus excluding stoppages=54 km/hr
=54/60=0.9 km/minute
speed of including stoppages =45 km/hr
difference of speed =54-45=9km/hr
time taken for stopings for one hour=9/.9=10minutes

Like? Yes (1) | No   

Thirupathi Reddy   9 years AGO

(54-45)/54*60=10min

Like? Yes (1) | No   

Nishant Nair   9 years AGO

without stoppage 54 km in 60 min
with stoppage 45 km in 60 min
difference =54-45=9
for stoppage= (9*60)/54=10 mins
ans=>10 mins

Like? Yes (1) | No   

Abhishek Porwal   9 years AGO

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = 9x 60 min = 10 min.

Like? Yes (1) | No   

veena pavani   9 years AGO

due to stoppages it covers 9km less than including stoppages.
time=(9/54)*60=10mins.

Like? Yes (1) | No   

K S V S SRIHARSHA   9 years AGO

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = (9/54) hour
= (1/6)*60 minutes
= 10 minutes

Like? Yes (1) | No   

Prithwijit Ghosh   9 years AGO

54kmph=900mprm
45kmph=750mprm
(900*50)/60=750

Like? Yes (1) | No   

sudhakar   9 years AGO

option 3) 10 min

Like? Yes (1) | No   

ranjan raj   9 years AGO

54-45=9

(9/54)*60=10

Like? Yes (1) | No   

rajkumar   9 years AGO

Due to stoppages, it covers 9 km less.

Time taken to cover 9 km = (9/54)x 60 min = 10 min.

Like? Yes (1) | No