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.

Q 1 - 6250/ √? = 625

A - 100

B - 95

C - 110

D - 105

Explanation

`Let 6250/√x=  625. Then √x= 6250/625 = 10 ⇒ 100`

Q 2 - √288/√128 =?

A - √3/2

B - 2/√3

C - 3/2

D - √3/21

Explanation

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

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

A - 4.899

B - 2.551

C - 1.414

D - 1.732

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 - 36.1/102.4 =?

A - 29/32

B - 19/72

C - 19/32

D - 29/62

Explanation

`√36.1/102.4  = √361/1024 = √361/ √1024 =19/32`

Q 5 - √0.000441 =?

A - 0.00021

B - 0.0021

C - 0.021

D - 0.21

Explanation

`given Expression = √441/1000000 = 21/1000 =0.021`

Q 6 - √0.00004761 = ?

A - 0.00069

B - 0.0069

C - 0.0609

D - 0.069

Explanation

`√  0.00004761  =  √4761/100000000  =69/10000=  0.0069`

Q 7 - if √4096=64 , then the value of (√40.96 + √ 0.4096 + √0.004096 + √ 0.00004096) up to two places of decimal is :

A - 7.09

B - 7.10

C - 7.11

D - 7.12

Explanation

```Given exp . √ 4096/100 +√ 4096/10000+√ 4096/1000000+√ 4096/100000000
=(64/10+ 64/100+64/1000+64/10000)= (6.4+0.64+0.064+0.0064+0.0064)= 7.11```

Q 8 - if (5+ 2√3)/(7+ 4 √ 3) = a+b√3 , then

A - a= -11 , b=-6

B - a= -11, b= 6

C - a= 11, b=-6

D - a= 6, b= 11

Explanation

```a+b√3 = (5+2√3/ 7+4√3* 7-4√3/7-4√3)
=  (35-20√3+14√3-24)/(49-48) = 11-6√3```

Q 9 - if √2 = 1.4142, then the value of 7/(3+√2) is:

A - 1.5858

B - 4.4142

C - 3.4852

D - 3.5858

Explanation

```7/(3+√2)= 7/(3+√2)*(3-√2)/(3-√2)
=7*(3-√2)/(9-2)=(3-√2)
= (3-1.414)=1.58```

Q 10 - √(0.16/0.4) =?

A - 0.2

B - 0.02

C - 0.632

D - 2√5/5

`√0.16/0.40 = √16/40  = √2/√5*√5*√5 = √10/5 =3.162/5 =0.632`