Simplification - Online Quiz

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 - 35/6 * 45/7 + 11/2 = ?

A - 40

B - 40.5

C - 42.5

D - 43

Answer : D

Explanation

given exp = 35/6*45/7 +11/2 = (75/2 +11/2 )= 86/2 = 43

Q 2 - 20 + 8 * 0.5 / 20 - ? = 12

A - 2

B - 8

C - 18

D - None of these

Answer : C

Explanation

(let  20 +8*1/2 )/ (20-x) = 12 then  (20+4)/(20-x)= 12
∴ 240- 12x= 24 ⇒ 12x =(240-24) = 216 ⇒ x =18

Q 3 - (2/3) * 3 / (5/6) / (2/3) of (5/4) = ?

A - 1/2

B - 2/3

C - 1

D - 2

Answer : D

Explanation

given exp. = 2/3 *  3/ (5/6/2/3 of 5/4 ) = 2/3 * 3/(5/6 /5/6) = 2/3 *3/1 = 2

Q 4 - 1+ 2 / { 1+2 /(1+1/3 )} =?

A - 9/4

B - 9/5

C - 21/4

D - 21/5

Answer : B

Explanation

given exp.  = 1+2/{1+2/4/3}
= 1+2/{1+2*3/4}
= 1+2/{1+3/2}
= 1+2/5/2
= 1+2*2/5
= 1+4/5
= 9/5

Q 5 - { 1+1/1+ 1/(1+1/3) } / 11/7 = ?

A - 1

B - 4/3

C - 5/4

D - 8/7

Answer : A

Explanation

given exp.   = { 1+  1/ (1+1/(4/3)} /11/7
= { 1+  1/( 1+3/4)} /11/7
= [ 1+ 1/(7/4)]/11/7
= (1+4/7) /11/7
= 11/7 /11/7
= 1

Q 6 - 1- [ 1- {1- (1-1- 1)}] = ?

A - 0

B - 1

C - 2

D - 3

Answer : A

Explanation

given exp.  = 1- [1-{1-(1-0)}] = 1- [1-(1-1)] =  1- [1-0] = 1-1= 0.

Q 7 - { 1/2 +1/6 +1 /12 + 1/20 + 1/30 + ... 1/ n (n+1) } =?

A - 1/n

B - 1/n+1

C - n/n+1

D - 2(n-1)/n

Answer : C

Explanation

given exp.  = (1-1/2)+ (1/2 -1/3) + (1/3 -1/4) +(1/4 -1/5) + ...+ [ 1/n - 1/(n+1)]
= (1- 1/n+1) = (n+1-1)/ (n+1)  = n/ (n+1)

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 - If a monkey can climb 6m on a round pole during 1 min. but he slipped 3 m in the next attempt or next min. The length of the pole is 21 m then how much time he will take to complete the task?

A - 10 min

B - 11 min

C - 12 min

D - 13 min

Answer : B

Explanation

 Time taken to climb 6m in the last = 1 min.
remaining distance = (21-6)  = 15 m .
total distance covered in 2 min. = (6-3 ) = 3m .
∴ distance of 15m covered in  ( 2/3* 15) = 10 min.
total time  taken = (10+1) = 11 min.

aptitude_simplification.htm
Advertisements