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 - 24 * 15 / 12 + ?= 165

Answer : C

Explanation

Let 24* 15 / 12 + x = 165. Then , 24 * 15 * 1/12  + x = 165.
∴ 30 + x = 165 ⇒ x = 135.

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

Answer : C

Explanation

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

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

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 =?

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

Answer : C

Explanation

given exp. =  5/ 3+  3/(1/3)
= 5/ (3+9)
= 5/12

Q 6 - 1- [ 1- {1- (1-1- 1)}] = ?

Answer : A

Explanation

given exp.  = 1- [1-{1-(1-0)}] = 1- [1-(1-1)] =  1- [1-0] = 1-1= 0.

Q 7 - if x/y = 1/3 , then x²+y² / x²-y² = ?

Answer : C

Explanation

(x² + y²)/(x² - y²)
= (x²/y² + 1)/(x²/y² - 1)
= ((x/y)² + 1)/((x/y)² - 1)
= (1/9 + 1)/(1/9 - 1)
= (10/9)/(-8/9)
= -10/8 = -5/4

Q 8 - (885*885*885 + 115*115*115)/(885*885+ 115*115 - 885*115) = ?

Answer : D

Explanation

given exp.  = (a³+b³)/ (a²+b²-ab) = (a+b) = (885+115) = 1000

Q 9 - (38*38*38 +34*34*34+28*28*28 - 38 *34* 84)/(38*38 + 34*34 +28*28 - 38*34 -34*28 -38*28)=?

Answer : D

Explanation

given exp. = (a³+b³+c³-3abc)/ (a²+b²+c²-ab-bc-ca) = (a+b+c), where a=38, b= 34, c= 28
= (38+34+28) = 100

Q 10 - 4 tables and 10 chairs have equal cost. The joint cost of 15 chairs and 2 tables is 4000 Rs. In such a case what should be the cost of 12 chairs and 3 tables?

Answer : B

Explanation

4 tables = 10 chairs ⇒ 2 tables = 5 chairs
∴  15 chairs +2 tables = 15 chairs+ 5 chairs= 20 chairs
Cost of 20 chairs = 4000  ⇒  1 chair = 200
Cost  of 10 chairs = 200*10 = 2000  ⇒ cost of 4 tables = 2000 ⇒ cost of 1 table = 500
Cost of 12 chairs and  3 tables = (200*12+500*3) = (2400+1500) = 3900 Rs.

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