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 - 219/13 - 31/9 + 483/26 = ?

A - 2597

B - 5393

C - 7537

D - None of these

Answer : D

Explanation

Give Exp = 219 /13 - 31/9 + 489/26 = ( 219/13 + 489 /26 - 31/9 )
= ( 438 +489/26 - 31/9) = ( 927 /26 - 31/9) = (8343 - 806 ) / 234
= 7537/ 234

Q 2 - 3/8 + 1/2 of 3/16 = ?

A - 15/16

B - 21/128

C - 15/32

D - 3/4

Answer : C

Explanation

given exp =3/8 +1/2 of 3/16 = 3/8 +3/32 = ( 12+3)/32 = 15/32

Q 3 - [13/4 -4/5 of 5/6]/[13/4 /1/5 -(3/10 +106/5)] - (5/3 of 3/2) =?

A - 9

B - 23/2

C - 13

D - 31/2

Answer : C

Explanation

given exp = [13/4 -4/5 of 5/6]/[13/4  /1/5 -(3/10 +106/5)] - (5/3 of 3/2)
=[13/4-2/3]/[13/3 *5/1 -(3+212/5)] - (5/2)
=[31/12][65/3 - 215/10] - 5/2
=[31/12][65/3 - 43/2] - 5/2
=(31/12) / ( 130 - 129) - 5/2 = (31/12) / ( 1/6) - 5/2
=(31/ 12 * 6 /  1 ) - 5/2 = (31/2 - 5/2 ) = 26/2 = 13.

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 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/ (10+1/10)} * {1+ 1/ (10+1/10)}- {1- 1/ (10+1/10)}* {1- 1/ (10+1/10)}]/[ {1+ 1/ (10+1/10)}+ {1+ 1/( 10+1/10)} simplifies to :

A - 20/101

B - 90/101

C - 100/101

D - 101/100

Answer : A

Explanation

given exp.  = (a2-b2)/(a+b)= a-b
= [1 + 1/(10+1/10)] - [1 - 1/(10+1/10)]
= ( 1+ 10/ 101) - (1- 10/101)   = 10/101 +10/101 = 20/101

Q 7 - if a+ 1/b = 1 and b+ 1/c = 1 , then c+ 1/a = ?

A - 0

B - 1/2

C - 1

D - 2

Answer : C

Explanation

a+ 1/b = 1 ⇒ a= (1-1/b) =  (b-1)/b ⇒ 1/a = b/(b-1)
= b+ 1/c = 1 ⇒ 1/c = (1-b)  ⇒ c = 1/ (1-b)
∴  c+1/a = 1/(1-b)+ b/(b-1) =  1/(1-b) - b/(1-b)=    (1-b)/ (1-b) =1

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 = 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 - If we have two companies A and B . If no. of employess tansfered from A to B , then numbers of employees becomes equal . On the other hand if 20 employees are transferred from B to A Then the number of employess in A becomes doubles in the comparision to B company. How much Employees are working in A's company?

A - 40

B - 50

C - 60

D - 100

Answer : D

Explanation

We assume that x employee in the A company and y  in the B company.
Then, (x-10) = ( y+10) ⇒ x- y = 20  ... (i)
2 ( y-20) = (x+20) ⇒ 2y-x = 60    ...(ii)
On solving  (i) and (ii) , we get x = 100
∴  There are  100 employees in company A.

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