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radhe 6 years ago

Hii,

There are 100 men in town. Out of which 85% were married, 70% have a
phone, 75% own a car, 80% own
a house. What is the maximum number of people who are married, own a
phone, own a car and own a house ?

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KESHAV MANDAL 6 years ago

>% not married 15
>% no phone 30
>% no car 25
>% no house 20
>so 15 +30+25+20=90
>so 100-90=10 min with phone,car,house,married and house
>now they could overlap but since minimum possible asked so 10.I think
>am right.

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Akanksha Mishra to RAKESH 8 years ago

integration of
(2x^12 + 5x^9)/(x^5 + x^3 +1)

Reply Like? Yes (2) | No

RAKESH 8 years ago

divide (2x^12 + 5x^9) by (x^5 + x^3 +1) & then use partial fraction

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Akanksha Mishra to RAKESH 8 years ago

plz solve it
intregation of (cos5x+ cos4x )/(1 - 2cos2x)

Reply Like? Yes (1) | No

RAKESH 8 years ago

(cos5x+ cos4x )/(1 - 2cos2x)

= 2*cos(9x/2)*cos(x/2) / (3 - 4cos^2x)

= -2cosx*cos(9x/2)*cos(x/2) / cos3x

i think its itegration can't be evaluated or can be in terms of inverse hyperbolic fns
is the qn right??

Like? Yes (2) | No

Akanksha Mishra 8 years ago

ya que is right it think cos5x or cos4x is to be argest like cos5x = cos3x + cos2x .....this make the solution easy can u try one more time ?????

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RAKESH 8 years ago

tell its answer......i will try

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Akanksha Mishra 8 years ago

sorry i hvn't..........

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RAKESH 8 years ago

ok.....
u can't find integration of each integrals.

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Akanksha Mishra 8 years ago

thanks rakesh i hv solved

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RAKESH 8 years ago

can u post the soln, how u solved?

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Akanksha Mishra 8 years ago

solve it
intregation of (cos5x+ cos4x )/(1 - 2cos2x)

Reply Like? Yes (2) | No

vineysagar 8 years ago

hiiii akansha ... plz help me to amcat exam . plz send me some important short tricks formula for numbers,, profit lose,squares and data assumption methods on vineysagar2@gmail.com or on fb dudesuper333@gmail.com plzzz send , very urgent.....

Reply Like? Yes (2) | No

Akanksha Mishra 8 years ago

sorry @vinay i haven't

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Akanksha Mishra to RAKESH 8 years ago

Dear Rakesh ,
I am again in confussion please slove it as early as possible

x^1/2 + y = 7
x + y^1/2 = 11

prove that x = 9 and y = 4

Reply Like? Yes (5) | No

RAKESH 8 years ago

âˆšx + y = 7
x + âˆšy = 11

âˆšx + y = 7
=> x = (7-y)^2 = 49 + y^2 - 14y

x + âˆšy = 11
=> y = (11-x)^2
=> y = (11 - 49 - y^2 + 14y)^2
=> y = (y^2 -14y +38)^2
=> y = y^4 + 196y^2 + 1444 -28y^3 -1064y + 76y^2
=> y^4 - 28y^3 + 272y^2 - 1065y + 1444 = 0
at y=4, above eqn satisfies
=> (y-4)*(y^3 -------) = 0
=> y = 4
so, x = 9

Like? Yes | No (2)

Akanksha Mishra 8 years ago

NO Rakesh we have to prove that x= 9 and y=4 ....
we can't satisfy any equation to put the value of x and y...
.imagine we don't know the original value of x and y ,now prove that

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RAKESH 8 years ago

for ex
we have to solve x^5 + x - 2 = 0
here we see that at x = 1 , above eqn satisfies
so, from remainder theorem, (x-1) is a factor of the eqn
now divide x^5 + x - 2 by (x-1)
=> (x-1)*(x^4 ---some terms) = 0
=> x = 1
the same thing i have done in the ans.

otherwise
x^1/2 + y = 7
x + y^1/2 = 11

let x = a^2 & y = b^2

a + b^2 = 7 & a^2 + b = 11
subtract
(a^2-b^2)+(b-a) = 4
=> (a-b)(a+b-1) = 4 = 1*4 = 2*2 = 4*1 (for integral values)

if a-b = 1 , a+b-1 = 4 => a = 3, b = 2
if a-b = 2 , a+b-1 = 2 => a = 5/2 , b = 1/2 doesn't satisfy eqn
if a-b = 4 , a+b-1 = 1 => a = 3 , b = 2

so, a = 3 , b = 2
=> x = 9 , y = 4

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Akanksha Mishra 8 years ago

I got it Thankyou @Rakesh for your best solution.......

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Akanksha Mishra to RAKESH 8 years ago

Find the maximum slope of the curve
f(x) = 2x + 3x^2 - x^3 - 27
Can u suggest me y are we taking f''(x) = 0 and when should we take three step f'''(x) plz clarify the concept i'm confused ...

Reply Like? Yes (1) | No

Anurag Kumar Singh 8 years ago

Hi Akanksha,

f'(x) = -3x^2 + 6x + 2
now for slope of f(x) to be maximum, the value of f'(x) must me maximum.
so, f'(x) is a quadratic equation with curve bent downwards. So, the local maxima will be the global also.
now, calc f''(x) = 0.
you get the point of global maxima and hence the ans.....

slope of f(x) is maximum at x = 5.

plz tell me if not understood.
ID: anurag160991@gmail.com

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RAKESH 8 years ago

f(x) = 2x + 3x^2 - x^3 - 27

to find slope of a function f(x) find f'(x)
slope = f'(x) = 2 + 6x - 3x^2 = g(x) let

now we have to find maxm of g(x)
g'(x)= 0 gives the point of maxm/minm
if g''(x) > 0 then g(x) has mimm
if g''(x) < 0 then g(x) has maxm

f''(x) = (6 - 6x) = 0 => x = 1

f'''(x) = -6 < 0 => f'(x) has a maxm at x = 1

maxm slope = f'(1)= 2 + 6 - 3 = 5

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Akanksha Mishra 8 years ago

Thankyou @Rakesh and @Anurag

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Akanksha Mishra 8 years ago

Hey frnds can you suggest the defination of infinitive related to maths?????

Reply Like? Yes (1) | No

Vijay Menaria 8 years ago

denotes a quantity or set larger than any finite number

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Akanksha Mishra 8 years ago

Hey frnds can you suggest the define of infinitive related to maths?????

Reply Like? Yes (1) | No

Akanksha Mishra 8 years ago

Join group "I love maths" on fb i want more maths lovers....
https://www.facebook.com/groups/228673120655444/

Reply Like? Yes (4) | No (1)

Akanksha Mishra 8 years ago

Join the Group "I Love Maths" on facebook...........if u love maths

Reply Like? Yes (2) | No

sohan saini 8 years ago

i m new to m4maths.........and i love maths

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nirmal kumar saini 8 years ago

can you tell me where and when the off campus recruitment drives are going on recent times?

Reply Like? Yes (9) | No

Akanksha Mishra 8 years ago

Sorry i am not a student of college

Like? Yes (1) | No (1)

Raju 9 years ago

here value of only 1st,3rd,5th and so on are written in code
for Rahul: R=18 H=8 L=12 so code become=18812
So for praveen= P=16 A=1 E=5 N=14 so code=161514

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Akanksha Mishra 9 years ago

Hi frnds today .. today's puzzle is incomplete.Am I right ?

Reply Like? Yes (2) | No (7)

Akanksha Mishra 9 years ago

can You suggest me.. how can I get the question of Last Week which had asked in Today Puzzle?

Reply Like? Yes (2) | No

Akanksha Mishra 9 years ago

Find the number of 4- letter words,that can be formed from the letters of the word "ALLAHABAD"

Reply Like? Yes (1) | No

tanmay vyas 9 years ago

9P4; if rep is nt allwd.

Like? Yes | No (4)

mahesh 9 years ago

9!/(4!*2!)
L occurs 2 times
a occurs 4 times

Like? Yes (3) | No (1)

Akanksha Mishra 9 years ago

Please solve this question....
There are n person sitting round a table
find the number of different ways in which 3 person can be selected so that no two are neighbors...
Answer hint : 1/6*n(n-4)(n-5)

Reply Like? Yes | No

Akanksha Mishra 9 years ago

PLease solve it as early as possible
A ladder rests against a wall at angle A to the horizontal,if foot is pulled away from the wall through a distance 'a' so that it slides a distance b down the wall making an angle B with the horizontal
show that
a/b = cosA - cosB/SinB - SinA

Reply Like? Yes (2) | No

Syed Faizan Haider 9 years ago

let l be the length of ladder then l=(x^2+y^2)
after pulling,disatances will be (x+a)& (y-b)
1st case
x/sin(90-A)= y/sinA = l/sin90 => sinA=y/l & cosA=x/l

2nd case
(x+a)/sin(90-B)=(y-b)/sinB = l/sin90 => sinB=(y-b)/l & cosB=(x+a)/l

so (cosA-cosB)/(SinB-SinA)=[ x/l - (x+a)/l ]/[(y-b)/l - y/l] = a/b

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GEETHA KALYANI 9 years ago

Hi,
Can you tell me how numbers are given to alphabets in the question days+too=short

Reply Like? Yes | No

VIKRAM KUMAR 9 years ago

@tarunpreet:vikkumatre18@gmail.com thank you bhai....

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Akanksha mishra (F)

Total Points 1311
Join 9 years ago

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Score from best 50 Questions

Attempted 50
Date Points

06 Dec 13 19
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16 Dec 13 16
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30 Dec 13 19
07 Jan 14 18
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Total 853
M4 Score853 / 10 = 85

Today's Puzzle Report

Puzzle Attempts99
Total Puzzle Points 1301

Placement Puzzle Report

Question Ask 15
Best Solution 24
Solution 101

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