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 - 37/3 + 65/6 - 23/3 - 11/7 = ?

A - 167

B - 193

C - 195

D - 195/14

Answer : D

Explanation

Given exp.= 37/3 +65/6 -23/3 -11/7
={( 74+65-46)/-6} - 11/7  = (139-46)/6 -11/7 = 93/6 - 11/7 = 31/2 -11/7 =(217-22)/14
= 195/14

Q 2 - (11/4) / (8/3) / (13/12) = ?

A - 13/16

B - 5/4

C - 169/144

D - None of these

Answer : D

Explanation

given exp. =   (11/4)  / (8/3) / (13/12) = 11/4 *3/8 *12/13 = 99/104

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

A - 3/4

B - 24/25

C - 1

D - 25/24

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) = ?

A - 5/46

B - 21/110

C - 68/157

D - 157/68

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)= ?

A - x+5/ x+1

B - (x+ 1/ x+5 )

C - 1/ (x+5)

D - x+6/ x+5

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)

Answer : C

Explanation

(a+b)2/ (a2-b2) = (a+b)2 / (a+b)(a-b) = (a+b)/(a- b)

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 - a2- b2 - 2bc - c2 / a2 +b2+ 2ab- c2 = ?

A - a-b+c / a+b+c

B - a-b-c / a-b+c

C - a-b-c / a+b-c

D - a+b+c/ a-b+c

Answer : C

Explanation

given exp. =  a2-(b+c)2/(a+b)2- c2
[a+ (b+c)] [ a-(b+c)]/[a+b+c)] [a+b-c] = (a-b-c)/(a+b-c)

Q 10 - An amount of rs. 8600 a widow lady wants to distribute between 5 man , 4 women and 2 Children. The condition of distribution is that each women received 4 times in the comparison of each children and each man received 5 times in the comparison of each children. Find out the amount received by each women?

A - 800 Rs

B - 900 Rs

C - 1000 Rs

D - 1100 Rs

Answer : A

Explanation

If  every children  get the amount of Rs. x . Then,
In that case each man get Rs.5x and each women get  Rs.4x
∴ 5* 5x+ 4* 4x +2x = 8600 ⇒  25x +16x+ 2x = 43x = 8600 ⇒ x = 200
Part of each women = (4* 200) = 800 Rs.


aptitude_simplification.htm

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