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 - 6/50 = √?/200

Answer : B

Explanation

Let 6/50 = √x/200. Then, √x =6/50*200 = 24
∴ x= (24*24)  = 576

Q 2 - 250 /√?= 10

Answer : C

Explanation

Let 250/√x  =10, Then √x= 250/10 25 ⇒ x= (25)²=625

Q 3 - given that √3= 1.732, the value of 3 +√6 /(5√3-2√12 -√32+√50)is:

Answer : D

Explanation

Given exp = 3+√6/(5√3-2√4*3-√16*2+ √25*2)
= 3+√6/(5√3-4√3-4√2+5√2)
= (3+√6)/( √3+√2)*( √3-√2)/( √3-√2)
= 3√3-3√2+√18-√12/(3-2)
=(3√3-3√2+√9*2 -√4*3 )= (3√3-3√2+3√2-2√3) =√3= 1.732

Q 4 - 0.01 + 0.0064=?

Answer : A

Explanation

√0.001 + √0.0064 = √0.01+0.08  = √0.09 = 0.3

Q 5 - √(0.01 + √0.0064)/0.01* 0.3 = ?

Answer : C

Explanation

√0.0064 = √64/10000= 8/100 = 0.08
Given expression = √0.01+0.08/ 0.01*0.3 =√ 0.09/0.03 = 0.3/0.003
=0.300/0.003 =300/3 =100

Q 6 - If x * √0.0016 = 4 , then the value of x is :

Answer : D

Explanation

√0.0016 =  √16/10000  = 4/100 =0.04
∴ x*0.04 =4 ⇒ x = 4/0.04=  4*100/4 =100

Q 7 - if (√(x+1) +√(x-1))/(√(x+1) - √(x-1)) = 3 , what is x?

Answer : C

Explanation

√x+1 +√x-1/√x+1=√x-1= 3 ⇒  (√x+1 +√x-1)/(√x+1*√x+1 +√x-1/√x+1=√x-1= 3
⇒ ((√x+1 +√x-1)² /(x+1)-(x-1) = [(x+1+x-1)+2√x+1. √X-1]/2 =3
⇒2(x+√ x²-1)/2 =3  ⇒ x+√x²-1 =3
⇒  √x²-1=(3-x) ⇒ (x²-1)=(3-x)² =(9+x²-6x)
⇒  6x-10=0  ⇒ 6x=10  ⇒ x= 10/6  =5/3

Q 8 - if 1120/ √ p =80 ,Then p =?

Answer : C

Explanation

1120/ √p= 80 ⇒ √p =1120/80 =14 ⇒ P=(14*14) = 196

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 - √(2 +√(2 +√(2 ...

Answer : B

Explanation

Let x = √2+√2+√2+√2+...∞. Then x= √2+x
∴ 2+x= x² ⇒ x²-x-2= 0 ⇒ x²-2x+x-2 =0
⇒ x(x-2)+(x-2)= 0 ⇒ (x-2)(x+1)=0   ⇒  x= 2 (∵x≠ -1)

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