M4maths Previous Puzzles

12 Nov 2009 code for MNKBRB

If JOSAKILM = 25
WAKLIF = 16
JASKULV = 20
OYALKUME = 24
Then MNKBRB =

OPtion

1) 24
2) 25
3) 16
4) 20
5) 12
6) 21
7) 14
8) 32
9) 27
10) 19

Solution

Word JOSAKILM contains 5 consonants and 3 vowels
Code is (5*3) + (5-3) + (5+3) = 15 + 2 + 8 = 25
Similarly for others.

Correct Option: 5 Best Solution (0)

11 Nov 2009 find the value

If 12*85 = 445
17*29 = 4250
13*68 = 1000
12*33 = 90
Then 73*46 =

OPtion

1) 3016
2) 3358
3) 7346
4) 2368
5) 98
6) 658
7) 8546
8) 1200
9) 2125
10)4444

Solution

Here 12*85 = (12+22)*(82+52) = 5*89 = 445
Similarly for others.

Correct Option: 1 Best Solution (3)

10 Nov 2009 4 letter words

How many words ( meaningful or meaningless) can be formed by using the letters of the word HOTSPOT taking 4
letters at a time.

OPtion

1) 175
2) 235
3) 5040
4) 120
5) 144
6) 270
7) 72
8) 198
9) 840
10) 210

Solution

Total number of different letters = 5 ( H, O, T, S, P )
Number of Words having all the letters different = 5*4*3*2 = 120
Total number of repeated letters = 2 ( O, T )
If one letter is repeated then number of words = 2*(4*3/2)*(4*3*2*1/2)
= 144
If two repeated letters are used then number of words = 6
Total number of words = 120 + 144 + 6 = 270

Correct Option: 6 Best Solution (0)

09 Nov 2009 circle and tangents

Three non parallel tangents are drawn in a circle. What is the probability that it would be an incircle.

OPtion

1) 1/4
2) 1/3
3) 1/2
4) 1
5) 0
6) 3/4
7) 2/3
8) 4/5
9) 3/5
10) 2/5

Solution

A set of three lines have 1 incircle and 3 excircles, thus probability is 1/4.

Correct Option: 1 Best Solution (0)

06 Nov 2009 coded word

If APPLE = 8
WATERMELON = 16
COCONUT = 11
TOMATO = 9
then PINEAPPLE

OPtion

1) 11
2) 13
3) 12
4) 15
5) 16
6) 14
7) 10
8) 9
9) 8
10) 17

Solution

In the question every vowel is considered as 1 and every consonant as 2.
Thus PINEAPPLE = 2+1+2+1+1+2+2+2+1 = 14

Correct Option: 6 Best Solution (0)

05 Nov 2009 code for animal

If MONKEY = 26
CROCODILE = 47
ELEPHANT = 37
OSTRICH = 46
Then TIGER =

OPtion

1) 48
2) 21
3) 24
4) 18
5) 29
6) 36
7) 42
8) 51
9) 19
10)54

Solution

Position of all the letters of the word MONKEY are 13 15 14 11 05 25
& position of 6 successive letters starting from M are 13 14 15 16 17 18
(Here M is the first letter of word MONKEY)
Modulus of differences of these numbers are 00 01 01 05 12 07
Sum of these differences = 26 hence the code
Similarly for others

Correct Option: 8 Best Solution (0)

04 Nov 2009 bikes and car in coded word

If HEROHONDA = 10
BAJAJ = 20
YAMAHA = 43
HAYABUSA = 30
Then MARUTI =

OPtion

1) 10
2) 43
3) 30
4) 20
5) 25
6) 29
7) 33
8) 27
9) 13
10) 18

Solution

In "HEROHONDA" position of all odd placed letters in English alphabet are 8, 18, 8, 14, 1
and sum of all these numbers is 49, similarly position of all even placed letters in English alphabet
are 5, 15, 15, 4 and sum is 39
Difference of these two numbers is 49 - 39 = 10
Similarly for others

Correct Option: 4 Best Solution (3)

03 Nov 2009 Which one statement is correct

If x2 + y2 + z2 - xy - yz - zx < 0 then which one statement is correct.

OPtion

1) x = y = z
2) x > y > z
3) x < y < z
4) x ≠ y = z
5) x = y ≠ z
6) x ≠ y ≠ z
7) x, y, z have negative values
8) any one of x, y, z is negative
9) any two of x, y, z are negative
10) Not possible

Solution

x2 + y2 + z2 – xy - yz – zx < 0
=> 2x2 + 2y2 + 2z2 – 2xy - 2yz – 2zx < 0
=> x2 + y2 - 2xy + y2 + z2 - 2yz + z2 + x2 - 2zx < 0
=> (x – y)2 + (y – z)2 + (z – x)2 < 0
(x – y)2 + (y – z)2 + (z – x)2 ,
This expression is the sum of three perfect square numbers and it is not possible to make this expression less than 0.

Correct Option: 10 Best Solution (5)

02 Nov 2009 Man at Work

8 men and 10 boys do a work in the same days as 4 men and 16 boys do. 1 man
and 3 boys start a work to finish it in 40 days. After eighteen days, 9/20th part of the work had been finished.
How many boys should be increased to make the work complete in exact time.

OPtion

1) 0
2) 1
3) 2
4) 3
5) 4
6) 5
7) 6
8) 7
9) 8
10) 9

Solution

In 18 days, (9/20)th part of work is finished
Thus in 1 day, {9/(20*18)}th = 1/40th part of work is finished
Hence in 40 days, work will be complete.
No additional boys are required.

Correct Option: 1 Best Solution (4)

30 Oct 2009 find out the value

If 3456 = 246
2463 = 68
7534 = 79
3487 = 412
Then 5375 =

OPtion

1) 20
2) 142
3) 525
4) 178
5) 50
6) 108
7) 535
8) 85
9) 191
10) 231

Solution

3456 = 3^0+4^1+5^2+6^3 = 1+4+25+216 = 246
Similarly for other cases

Correct Option: 4 Best Solution (0)