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 - [(125)2 / 50 * 20] / 25 = ?

A - 11

B - 100

C - 150

D - 250

Answer : D

Explanation

Give Exp = [ 125 * 125/ 50 *20] / 25 = 125 * 50 /  25 = 250

Q 2 - 13/4 + 25/6 + ? + 1/4 = 10

A - 13/6

B - 13/3

C - 4/3

D - 7/3

Answer : D

Explanation

let 13/4 + 25/6 +x+1/4 = 10 then,
39+50 +12x +3 =120 ⇒ 92+12x = 120  = 12x= 28 ⇒ x= 7/3

Q 3 - (11/9 / 7/5 of 5/21 )+1/3 =?

A - 3

B - 11/3

C - 4

D - 12

Answer : C

Explanation

given exp. = ( 11/9 /7/5 of 5/21 )+ 1/3 = (11/9 /1/3)+1/3 = (11/9*3 ) +1/3
= (11/3 +1/3 ) = 12/3
= 4

Q 4 - 15/2 - [ 9/4 /{ 5/4 -1/2 (3/2 -1/3 -1/6 )}] =?

A - 2/9

B - 1

C - 9/2

D - 365/288

Answer : C

Explanation

given exp. = 15/2 - [ 9/4 /{5/4 -1/2 (3/2 ? 1/3 -1/6)}]
= 15/2 - [ 9/4 /{5/4 -1/2 (9-2 -1/6)}]
= 15/2 - [ 9/4 /{5/4-1/2}]
= 15/2 -[9/4 /3/4]
= 15/2 -[9/4*4/3]
= 15/2-3
= 9/2

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/ 1.4 + 1/ 4.7 + 1/ 7.10 + 1/ 10.13+ 1/ 13.16) = ?

A - 1/3

B - 5/16

C - 3/8

D - 41/ 7280

Answer : B

Explanation

given exp. =  1/3 [ (1-1/4) + (1/4 -1/7)+ (1/7 -1/10)+ (1/10 -1/13)+ (1/13 -1/16)
= 1/3 ( 1- 1/16) =  1/3 * 15/16 =  5/16

Q 7 - if a/b = 3/4 and 8a +5b = 22 , then a = ?

A - 2/3

B - 3/2

C - 5/8

D - none of these

Answer : B

Explanation

a/b = 3/4 ⇒ 3b = 4a ⇒ b = 4a / 3.
∴  8a + 5b = 22 =.> 8a+ 5* 4a/3 =22
⇒ 24a+20a =66 ⇒ 44a= 66  ⇒ a = 3/2

Q 8 - if a+b = 5 and 3a +2b = 20, then (3a+b) = ?

A - 10

B - 15

C - 20

D - 25

Answer : D

Explanation

on solving a+b = 5 and 3a+ 2b = 20 , we get a =10 ,b = -5
∴ (3a+b) = (3*10-5) = 25

Q 9 - if a +b+c = 11 and ab+ bc + ca = 20 , then what should be the value of (a3+b3+c3-3abc) = ?

A - 121

B - 341

C - 671

D - 781

Answer : C

Explanation

(a3+b3+c3- 3abc) = (a+b+c)
(a2+b2+c2-ab- bc-ca)
=  (a+b+c)[ (a+b+c)2 - 3(ab+bc+ca)]  = [ 11* (11) -3*20]
=  11* (121-60) = 11*61 = 671

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.


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