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 - 2567 / 17 * 3 = ? + 180

A - 51

B - 73

C - 271

D - 273

Answer : D

Explanation

let 2567 / 17 * 3 = x + 180 . Then,
2567 * 1/17 * 3 = x +  180 ⇒ x = (151 * 3 ) - 180 = (453 - 180) = 273

Q 2 - 108 / 36 of 1/3 + 2/5 * 15/4 = ?

A - 35/4

B - 25/4

C - 5/2

D - 21/2

Answer : D

Explanation

given exp. = 108 /36 of 1/3+ 2/5 *15/4
= 108/ 12+ 2/5 *15/4 = 9+ 3/2 = 21/2

Q 3 - (86/21-41/14 + 12/7 +36/7)/((16/9) * (97/48) /(97/27)) = ?

A - 2/3

B - 3/2

C - 5/3

D - 7/4

Answer : B

Explanation

given exp. = [86/21 -41/14+ 12/7 /36/7]/[16/9 *97/48 /97/27]
= [86/21 -41/14+ 12/7 *7/36]/[16/9 *97/48 *27 /97]
= [86/21 - 41/14 +1/3]/1
= (172-123+14 )/42 = 63/42 = 3/2

Q 4 - 3/4 /9/4 of 2/3 - (1/2-1/3)/ (1/2 +1/3) * 10/3 +5/6 =?

A - 7/18

B - 49/54

C - 2/3

D - 1/6

Answer : C

Explanation

Give Exp. = 3/4/ 9/4 of 2/3 - ( 1/6 ) / (5/6)  * 10/3 + 5/6
= 3/4 / 3/2 - 1/5 * 10/3 + 5/6 = 3/4  *  2/3 - 2/3 + 5/3
= 1/2 - 2/3 + 5/6
= (3-4 + 5 ) / 6
= 4/6 = 2/3

Q 5 - If 1/ 1+ 1 / 1+ 1/x = 2 then x = ?

A - ? 1/3

B - ? 1

C - 1/3

D - 1

Answer : A

Explanation

1/(1+ 1/ (1+1/x)) = 2
⇒ 1/(1+x/(x+1)) = 2
⇒ (x+1)/ (2x+1) = 2
⇒ x+1= 4x+2
⇒ 3x= -1
⇒ x= -1/3

Q 6 - (2-1/3)(2-3/5)(2-5/7)...(2-999/1001 ) = ?

A - 999/1001

B - 1003/3

C - 1001/3

D - none of these

Answer : B

Explanation

given exp.= 5/3 *7/5* 9/7*...*1003/1001 = 1003/3

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)=3 and (a2 +b2) =29 , then ab =?

A - 18

B - 15

C - 12

D - 10

Answer : D

Explanation

2ab = (a2+b2) - (a-b)2 = 29-(3)2 = (29- 9) = 20 ⇒ ab = 10.

Q 9 - ((x- y) 3+ (x-z)3+ (z-x)3)/(9(x-y ) (y-z) (z-x))= ?

A - 0

B - 1/9

C - 1/3

D - 1

Answer : C

Explanation

let x-y = a,  y-z = b and z-x =  c . then,
a+b+c= 0 ⇒ a3+b3+c3 = 3abc
∴ given exp. = 3abc/ 9abc = 1/3

Q 10 - 280 apples distributed between 50 girls and boys in such a way that 5 apples each boys and 7 apples each girl. Find the numbers of girls?

A - 13

B - 14

C - 15

D - 16

Answer : C

Explanation

If  we have x girls and (50-x) boys.
7x+5 (50-x) = 280 ⇒  2x= (280 -250) = 30 ⇒ x = 15
So , we have 15 girls.

aptitude_simplification.htm
Advertisements