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

A - 4/21

B - 7/3

C - 3/7

D - 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 - 6994/7 + 6995/7 +6996/7 +6997/7 +6998/7 +6999/7 =?

A - 2998

B - 5979

C - 5997

D - 5994

Answer : C

Explanation

Give Exp. = (999 * 6 ) + (1/7 + 2/7 + 3/7+ 4/7+ 5/7+ 6/7)
= 5994 + ( 1+ 2+ 3+ 4 +5+ 6) / 7 = 5994 + 21/7
= 5994+ 3 = 5997.

Q 5 - If 2 = x+ 1 / 1+1/(3+1/4) ,then x = ?

A - 12/17

B - 13/17

C - 18/17

D - 21/17

Answer : D

Explanation

2 = (x + 1)/(1 + 1/(3+1/4))
⇒ 2 = x +1/(1+  1/ (13/4))
⇒ 2 = x + 1/(1+4/13))
⇒   2 = x+ 13/17
⇒   x = (2- 13/17)  = 21/17

Q 6 - 1/ (1*2) + 1/ (2*3) + 1/ (3*4) +??+ 1/ (100* 101 ) = ?

A - 1/100

B - 100/101

C - 101/102

D - 99/10

Answer : B

Explanation

given exp. =  (1-1/2 )+ (1/2 -1/3)+ (1/3 -1/4)+???.+(1/100- 1/101) = (1- 1/100) = 100/101

Q 7 - if a/3 = b/4 = c/7 , then (a+b+c)/c=?

A - 1/7

B - 1/2

C - 2

D - 7

Answer : C

Explanation

Let a/3 = b/4 = c/7 = k. Then,  a = 3k, b = 4k and c = 7k.
∴ (a + b + c ) / c = ( 3k + 4k + 7k ) / 7k = 14k / 7k = 2.

Q 8 - if a/x+ y/b = 1 and b/y+ z/c = 1, then (x/a + c/z) = ?

A - 0

B - b/y

C - 1

D - y/b

Answer : C

Explanation

a/x+ y/b = 1 ⇒ a/x(1- y/b) = (b-y/b) ⇒ x/a =  b/(b-y)
b/y + z/c = 1 ⇒ z/c = ( 1- b/y ) = (y-b)/y ⇒ c/z = y/ (y-b)
∴   (x/a + c/z) = b/ (b-y) + y/(y-b) = b/ (b-y) - y (b-y) = (b-y)/ (b-y) = 1.

Q 9 - if a+b+c = 0 then , (a2 /bc + b2 /ca + c2 /ab) = ?

A - -1

B - 0

C - 1

D - 3

Answer : D

Explanation

a+b+c= 0 ⇒ ⇒ a3+b3+c3 = 3abc
Given exp. =  (  a2/bc+ b2/ ca+ c2/ab) = a3/abc + b3/abc+ c3/abc =  (a3+b3+c3) /abc =  3abc/abc = 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.


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