Simplification - Online Quiz


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Following quiz provides Multiple Choice Questions (MCQs) related to Simplification. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers

Q 1 - 4500 * ? = 3375

A - 2/5

B - 3/4

C - 1/4

D - 3/5

Answer : B

Explanation

let 4500  * x = 3375. Then ,x = 3375 / 4500 = 3/4

Q 2 - 48 ? 12* 3 +9/ 12 - 9/3 = ?

A - 13/3

B - 3

C - 7/3

D - 21

Answer : C

Explanation

given exp= 48-36+9/ 12-3 =(12+9)/9 = 21/9 = 7/3 

Q 3 - 1/3 + 3/4 (2/5 - 1/3) / 5/3 of 3/4 - 1/4 of 4/5 = ?

A - 1/63

B - 23/40

C - 23/55

D - 23/63

Answer : D

Explanation

given exp.  = {1/3 +3/4 (6-5/15)}/  5/3 of 3/4 -1/4 of 4/5 =
(1/3+3/4*1/15)/(5/4-1/5)
(23/60) /(21/20) =   (23/60* 20/21) = 23/63

Q 4 - [8/7-2/3+2/5 /(1- 1/25)]/[1- 1/7 {1/3+2/5 /(1- 2/5 )] = ?

A - 3/4

B - 24/25

C - 1

D - 25/24

Answer : D

Explanation

given exp. = [8/7- 2/3+ (2/50/(24/25)]/[1- 1/7 {1/3+ (2/5)/(3/5)}] = [8/7 -2/3 +(2/5*25/24)]/[1-1/7 {1/3+2/3}]
= [8/7- 2/3+5/12]/[1-1/7*1]= [(96-56+35)/84]/[6/7] =(75/84*7/6) = 25/24

Q 5 - 4- 5/ 1+ 1 / 3+ 1 / 2+ 1/4 = ?

A - 31/40

B - 1/8

C - 4/9

D - 40

Answer : B

Explanation

given exp. =   4 - [5/ {1+ 1/ 3+(1/ 9/4)}] 
= 4 -  [ 5/{ 1+ 1/ (3+4/9)}]
= 4 -  [5 / {1+ 1/ (31/9)}]
= 4 -  5/ (1+9/31)
= 4 -  5/ (40/31)
= 4- ( 5*31)/40
= 4- 31/8
= (32-31)/8
= 1/8

Q 6 - (1-1/2) (1-1/3) (1-1/4) ... (1- 1/n) = ?

A - 1/n

B - 1/(n-1)

C - n/(n-1)

D - none of these

Answer : A

Explanation

given exp.  = (1- 1/2) (1-1/3 ) ( 1- 1/4) ...{1-    1/(n-1)}(1- 1/n)
= 1/2 * 2/3 *3/4 *...*(n-2)/(n-1)* (n-1)/n = 1/n

Q 7 - if x/ 2y = 3/2 , then (2x+y)/(x-2y) = ?

A - 1/7

B - 7

C - 7.1

D - none of these

Answer : B

Explanation

x / 2y = 3/2 ⇒ x/y = ( 2 * 3/2 )  = 3.
2x +y / x - 2y = 2 ( x/y ) + 1 / (x/y) - 2 = 2* 3 + 1 / 3-2 = 7/1 = 7.

Q 8 - if a/b = 4/5 and b/c = 15/16,then (c2-a2)/ (c2+a2) = ?

A - 1/7

B - 7/25

C - 3/ 4

D - none of these

Answer : B

Explanation

a/c = (a/b* b/c) = (4/5* 15/16) = 3/4 ⇒ c/a = 4/3
∴  (c2- a2)/ (c2+a2) =  (c2/a2-1) /(c2/a2 +1) =   (c/a)2-1 / (c/a)2+1
=   (16/9 -1) /(16/9+1 ) = (7/9)/ (25/9) = 7/25

Q 9 - ((856+167)2 +(856-167)2)/(856*856+ 167*167)= ?

A - 1

B - 2

C - 689

D - 1023

Answer : B

Explanation

given exp.  = (a+b)2 +(a-b)2/ (a2+b2),   where a = 856 , b = 167
= 2 (a2+b2) /(a2+b2) = 2

Q 10 - An organization have three share holder A, B and C. all of the shareholder get the share of profit in that way 1/3 share of the profit gets A. while 1/4 share of the profit received by B and rest of the part of the profit Rs. 5000 becomes the share of C. Find out the share of profit Received by A?

A - 2500 Rs

B - 3000 Rs

C - 3500 Rs

D - 4000 Rs

Answer : D

Explanation

Let the total profit be rs. x. then,
x/3 + x/4 +5000   = x ⇒ 4x+ 3x+ 60000 = 12x
⇒  5x = 60000 ⇒  x = 12000.
Share of profit received by A = (1/3 * 12000) = 4000 Rs.

aptitude_simplification.htm
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