# 11 - Set Theory and Relations Questions Answers

**Asked By: CHANDER**3 year ago

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### 75 persons Major in physics, 83 major in chemistry, 10 not at major in these subjects u want to find number of students majoring in both subjects

**Asked By: AKANKSHA MISHRA**5 year ago

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The number of 5-Sylow subgroup(s) in a group of order 45 is

(A) 1 (B) 2 (C) 3 (D) 4

**Asked By: KALPANA SAI**5 year ago

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A multiplication is given below where each letter stands for a single digit number and no two numbers are represented by same letter

AGE

* OAT

---------

SOAR

HOG-

GOTO--

---------------

GECOIR

--------------

1.WHAT IS THE POSSIBLE VALUE OF A?

a)3

b)4

c)7

d)9

2.WHAT IS THE VALUE OF G+A+T+E????

a.16

b.19.

c.24

d.25

3. What is the correlation between S,I,T

a)they are in A.P

b)they are in G.P

c)both (a) and (b)

d)none of these

**Asked By: RAJAT JAIN**6 year ago

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### How we can find volume of a cube using pythagoras theorem .

**Asked By: AVANTIKA PURI**6 year ago

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**Asked By: GAURAV MAHATE**6 year ago

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**Asked By: GAURAV MAHATE**6 year ago

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**Asked By: ASHIR ALAM**6 year ago

**Solved By: HIMANSHU MITTAL**

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number of real values of x satisfying 2log_{2}(x+7x+1)+log_{2}(x+1x-1)=1 is

**Asked By: SHUBHAM VED**6 year ago

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**Answer Strategies and trick by Manish sir**(it will help you to solve it by yourself)

given eq. can be written as log_{2} [(x+7)/(x+1)]^{2} + log_{2} [(x+1)/(x-1)] = 1

or log_{2} [(x+7)^{2}(x+1)/(x+1)^{2}(x-1)] = 1

or log_{2} [(x+7)^{2}/(x^{2}-1)] = 1

or (x+7)^{2}/(x^{2}-1) = 2

or x^{2} + 14x +49 = 2x^{2 }- 2

or x^{2}-14x -51 = 0

or x = -3, 17

since at x = -3 first part will become negative inside root so it will not be a root.

so only 1 root

The number of solutions of : **4x²-4x+2 = sin² y ** & **x²+y² ≤ 3 ** are ? (please solve it graphically i am getting one solution by using graph but the answer is 2)

**Asked By: AMIT DAS**6 year ago

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**Answer Strategies and trick by Manish sir**(it will help you to solve it by yourself)

Given eq. can be written as (2x-1)^{2} + 1 = sin^{2}y

and max. of siny is 1 so only possible value of x = 1/2

and possible values of y = ±nπ/2 where n is odd integer

but by drawing the circle of 2nd eq. we find that only y = ±π/2 are possible values so answer will be 2