Aptitude - Squares & Cubes Online 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.

Questions and Answers

Q 1 - √17161 =?

A - 129

B - 119

C - 131

D - 141

Answer : C

Explanation

√17161 = √(131 x 131) = 131

Q 2 - 250 /√?= 10

A - 25

B - 250

C - 625

D - 2500

Answer : C

Explanation

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

Q 3 - √0.729/ √0.00841 =?

A - 262/29

B - 263/29

C - 264/29

D - 270/29

Answer : D

Explanation

Given exp.= √ 0.72900/0.00841= √ 72900/841 = 270/29

Q 4 - √31684 = ?

A - 168

B - 172

C - 178

D - 182

Answer : C

Explanation

√31684=√178 * 178 = 178

Answer : C

Explanation

√0.04  = √4/100 =2/10 = 0.2

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

A - 0.04

B - 4

C - 25

D - 100

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 - Given that √13 = 3.605, √130 = 11.4 ,the value of√1.3 +√1300 +√0.013 is

A - 36.164

B - 36.304

C - 37.164

D - 37.04

Answer : D

Explanation

√1.3+√1300+√0.013 = √13/10+√13*100+√13/1000
=√130/100+√13*100+√13/10000 =√130/10+10*√13+√130/100
= (11.4/10 +10* 3.605+ 11.4/100) =(1.14+36.05+0.114)=37.04

Q 8 - If (√ (x+4) +√ (x-10))/(√ (x+4)- √(x-10) =5/2 ,What is x?

A - 17/21

B - 1

C - 263/20

D - 331/5

Answer : C

Explanation

(√x+4+  √x-10)/(√x+4 - √x-10) = 5/2
⇒  (√x+4+  √x-10)/(√x+4 - √x-10) *(√x+4+ √x-10)/(√x+4 +√x-10) =5/2
⇒ . (√x+4+  √x-10)2/(√x+4 - √x-10)=5/2   ⇒x+4+x-10+2 √x+4 √ x-10/14  = 5/2
⇒  2x-6+2√ (x+4)(x-10)= 35
⇒ x+√ (x+4)(x-10) = 41/2
⇒ √ x2-6x-40= (41/2-x)   ⇒ x2-6x-40  =(41-2x/2)2
⇒  4x2-24x-160 = (41-2x)2  = 1681+4x2-164 x
⇒  140x =  1841  ⇒ x= 1841/140  = 263/20

Q 9 - The value of 1/(√2+1)+1/(√3+√2)+1/(√4+√3)...+1/(√121+√120) is

A - √120

B - 12√2

C - 8

D - 10

Answer : D

Explanation

given exp. =1/(√2+1)+1/(√3+√2)+1/(√4+√3)...+1/(√121+√120)
=1/(√2-1)* √2-1)/( √2-1)+1/(√3+√2)* √3-√2/√3-√2+1/(√4+√3)*( √4-√3)/( √4-√3)+?..+1/√121+√120*(√121-√120/√121-√120
= (√2-1)+( √3-√2)+( √4-√3)?..+( √121-√120) =(√121-1)
= (11-1) = 10.  ≤

Q 10 - An army general wants to form a solid square from 36562 armies. After arrangement , he found some armies left. How many armies were left ?

A - 36

B - 65

C - 81

D - 97

Answer : C

Explanation

 191 * 191 = 36481, ∴ armies left = 36562 - 36481 = 81
aptitude_squares_cubes.htm
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