Aptitude - Questions & Answers

Simplification - Online Quiz

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.

Q 1 - 5852 / 28 * ? - 1653 = 1064

Answer : B

Explanation

let 5852 / 28 * x ? 1653 = 1064.
Then , 5852 * 1/28 *x = ( 1064 + 1653 ) = 2717 ⇒ 209 x = 2717 ⇒ x = 2717 / 209 = 13.

Q 2 - 39/8 * 30/13 = ?

Answer : C

Explanation

given exp.39/8 *30/13 = 45/4

Q 3 - 7/2 /5/2 * 3/2 / 7/2 / 5/2 of 3/2 / 5.25 = ?

Answer : C

Explanation

given exp. =  (7/2/5/2*3/2)/ (7/2 /5/2 of 3/2 ) / 525/100
= (7/2*2/5*3/2)/(7/2 /15/4) /525/100 = (21/10)/(7/2*4/15) /21/4
= (21/10)/(14/15) / 21/4 =  (21/10* 15/14*4/21)= 3/7

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

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

Answer : C

Explanation

given exp. =  1/(2+1/(1/(3 + 1/(21/5))))
= 1/(2+1/(1/(3 + 5/21)))
= 1/(2+21/68)
= 1/(136+21)/68
 = 68/157

Q 6 - (1+ 1/ x+1) (1+ 1/ x+2) (1+ 1/ x+3) (1+ 1/ x+4)= ?

Answer : A

Explanation

given exp.=  (x+2)/ (x+1)* (x+3)/(x+2) *(x+4)/ (x+3)* (x+5) (x+4)
=  (x+5)/ (x+1)

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

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 p/q = 7, then P+Q/P-Q = ?

Answer : D

Explanation

p+q/ p-q = ( p/q +1)/ (p/q-1)  = (7+1)/(7-1)  = 8/6 = 4/3

Q 9 - if the value given a-b =1 then what will be the value of (a³- b³- 3ab) =?

Answer : C

Explanation

(a-b)= 1 ⇒ (a-b)³=1 ⇒ a³- b³ -3ab (a-b) = 1
⇒ a³-b³ -3ab*1 = 1 ⇒ a³- b³- 3ab =1

Q 10 - The joint amount of a and b is 158. C have short 101 in the comparison of that joint amount which a and b have. While b have rs. 23 more in the comparison of C. Find the amount of A

Answer : A

Explanation

A+B = 158 , C= (158-101) = 57
B=C+23 = (57+23) =80
A+ 80 = 158 &Arr; A = (158-80)= 78
Hence, the amount of A = 78 Rs.

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