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Simplification Questions

Home > Quantitative Aptitude > Simplification > General Questions
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Choose the correct option.

Simplify the below

5y-(4x+3y)-6x


A8y-10x

B2y+10x

C8y+10x

D2y-10x

Answer: Option D

Explanation:

5y-(4x+3y)-6x
= 5y-4x-3y-6x
= 2y-10x

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(2/9+2/3)*2 1/4 /(5/6*5/12)


A4

B3

C1

D2

Answer: Option C

Explanation:

2/9+2/3=8/9
2 1/4=9/4
25/72
8/9*9/4*25/72=1

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How many 1/15 are there in 243/5 ?


A429

B529

C629

D729

Answer: Option D

Explanation:

Solution : Just simply divide 243/5 by 1/15



The answer is 729.

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If x+y+z=9 and both y and z are positive integers greater than zero, then the maximum value x can take is?


A3

B7

C8

DData insufficient

Answer: Option B

Explanation:

Acc. to the question y and z are positive integers greater than zero so taking the lowest possible value for them is 1 so putting y=z=1 in equation x+y+z=9 we get x value as 7 which is the maximum possible value of x.

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[ 2/9 + 2/3 ]*2 1/4+5/6*5/12


A4

B3

C1

D2

Answer: Option C

Explanation:

[2+6 /9]*9/4 divide 5/6 * 5/12
8/9 *9/4 divide 5/6 *5/12
8/9 * 9/4 * 6/5 * 5/12=1

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[6/4 + 4/9] of 3/4 divide 5/3 * 5/4 - 1/3


A1/6

B5/12

C5/24

D5/6

Answer: Option D

Explanation:

[6/4 + 4/9 ] of 3/4 divides 5/3 *5/4-1/3
=[35/18] of 3/4 divides 25/12-1/3
=35/24 divides 21/12
=35/24/21/12
=35/24*12/21
=5/6

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If 13 = 13w/(1-w) ,then (2w)2 =


A1/4

B1/2

C1

D2

Answer: Option C

Explanation:

13 = 13w/(1-w)  solving this we get w=1/2



now finding the value of the square of 2w that is 1



Answer is 1

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If the operation,^ is defined by the equation x ^ y = 2x + y,what is the value of a in 2 ^ a = a ^ 3


A0

B1

C-1

D4

Answer: Option B

Explanation:

Solution:  2 ^ a = a ^ 3  => 2*2 a  = a*a 3  =>  4 a= a2 3  



Solving we get a=1 and a=-1 

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Q is not equal to zero and k = (Q * n - s)/2.What is n?


A(2 * k + s)/Q

B(2 * s * k)/Q

C(2 * k - s)/Q

D(2 * k + s * Q)/Q

E(k + s)/Q

Answer: Option A

Explanation:

Solution:  k = (Q * n - s)/2  Make n the subject of formula



2k=  (Q * n - s)  â‡’  2k s  = Q *n 



n= (2k s)/Q  



 



 

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If a=2, b=3, c=6
Find the value of c/(a+b)-(a+b)/c


A11/31

B11/33

C11

D11/30

Answer: Option D

Explanation:

6/(2+3)-(2+3)/6
=6/5-5/6
=(36-25)/30
=11/30

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