Aptitude - Questions & Answers

Aptitude - Squares & Cubes Online Quiz

Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to Squares & Cubes. 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 - √2500 +√961 = (?)²

Answer : D

Explanation

Let √(√2500+√961) =x². Then
x²= √(50+31) = √81= 9. ∴ x = √9 = 3

Q 2 - √288/√128 =?

Answer : C

Explanation

√288/√128 =√(288/128) = √(144/64) = √144/√64 =12/8 =3/2

Q 3 - if √2ⁿ=64, Then the value of n is:

Answer : D

Explanation

√2ⁿ = 64= 2⁶⇒ 2ⁿꜘ²=2⁶⇒n/2=6 ⇒ n=12.

Q 4 - √31684 = ?

Answer : C

Explanation

√31684=√178 * 178 = 178

Q 5 - √0.04 =?

Answer : C

Explanation

√0.04  = √4/100 =2/10 = 0.2

Q 6 - if √1369 + √0.615+x = 37.25, Then the value of x is

Answer : D

Explanation

√1369 +√ 0.615+x= 37.25  ⇒√ 0.615+x= 0.25 =25/100 =1/4
⇒ 0.615+x=1/16 ⇒ 0.615*16+16x=1 ⇒ 615/10000*16+16x=1
⇒  16x =1-123/125= 2/125  ⇒ x=  (2/125*1/16) = 1/1000 = 1/(10)³

Q 7 - if √15 = 3.88, then what is the value of √5/3?

Answer : C

Explanation

√5/3 = √15*9=  3.88/3  =1.293

Q 8 - If a= (√5+1)/(√5-1) and b= (√5-1)/(√5+1) ,then the value of (a²+ab+b²)/(a²-ab+b²) =?

Answer : B

Explanation

(a+b) = (√5+1/ √5-1)+ (√5-1/ √5+1)= (√5+1)²+( √5-1)²/(5-1)
=2(5+1)/4 = 3
(a-b) = (√5+1/ √5-1)- (√5-1/ √5+1)= (√5+1)²-( √5-1)²/(5-1)
=4*√5*1/4  = √5.
Also, ab = (√5+1/ √5-1)* (√5-1/ √5+1)=1
∴ (a²+ab+b²)/(a²-ab+b²)= (a+b)²-ab/(a-b)²+ab=    3²-1/(√5)²+1 =(9-1)/(5+1) = 4/3

Q 9 - if √24 = 4.899, then the value of √8/3 is:

Answer : C

Explanation

√8/3 = √8*3/3*3 = √24/√9 =√24/3 =4.899/3 =1.633

Q 10 - √0.121 = ?

Answer : C

Explanation

√0.121 =  √ 0.347 * 0.347 = 0.347

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