Square and Cube Root- Aptitude Questions and Answers - in Hindi

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Find the least number which when multiplied with 74088 will make it a perfect square ?


सब से छोटी संख्या ज्ञात करें जो 74088 के साथ गुणा होने पर इसे एक पूर्ण वर्ग बना देगा?

A)
42

B)
44

C)
46

D)
48


Correct Answer :

42


Explanation :

74088 = 2 * 2 * 2 * 3 * 3 * 3 * 7 * 7 * 7
= (2*2) * (3*3) * (7*7) * (2*3*7)
Least number which should be multiplied to 74088 to make it a Perfect square = 2 * 3 * 7 = 42

Find the least number by which 175760 be devided to make it a perfect cube ?


सब से छोटी संख्या ज्ञात करें जिसके द्वारा 175760 को विभाजित करने पर एक पूर्ण घन प्राप्त होता है?

A)
10

B)
20

C)
100

D)
5


Correct Answer :

10


Explanation :

175760 = 24 x 5 x 13 3
= 23 x 2 x 5 x 133
To make perfect cube, it must be divided by 2 x 5 = 10

√(248 + √(52+ √144)) = ?

A)
14

B)
16

C)
16.6

D)
18.8


Correct Answer :

16


Explanation :

√(248 + √(52 + √144))
=> √(248 + √(52 + 12))
=> √(248 + √64)
=> √(248 + 8)
=> √256
=> 16

250 / √? = 10

A)
25

B)
250

C)
625

D)
2500


Correct Answer :

625


Explanation :

Let 250 / √x = 10.
Then √x= 250 / 10 = 25
Thus, x = 625

√(4/3) - √(3/4) = ?

A)
1/2√3

B)
- 1/2√3

C)
1

D)
2√3


Correct Answer :

1/2√3


Explanation :

√(4/3) - √(3/4)
= 2/√3 - √3/2
= (4 - 3)/2√3
= 1/2√3

If √2n = 64, then the value of n is ?


यदि √2n = 64, तो n का मान है?

A)
2

B)
4

C)
6

D)
12


Correct Answer :

12


Explanation :

√2n = 64
⇒ 2n/2 = 26
⇒ n/2 = 6
⇒ n = 12

(√5 - √3)/ (√5 + √3) is equal to ?


(√5 - √3)/ (√5 + √3) बराबर है?

A)
4 + √15

B)
4 - √15

C)
1/2

D)
1


Correct Answer :

4 - √15


Explanation :

(√5 - √3)/ (√5 + √3)
= (√5 - √3) / (√5 + √3)
= (√5 - √3)2 / (5 - 3)
= (5 + 3 - 2√5 x 3) / 2
= 2 (4 - √15) / 2
= (4 - √15)

3√(0.027/0.125) = ?

A)
0.6

B)
0.3

C)
0.5

D)
0.2


Correct Answer :

0.6


Explanation :

3√(27*1000/125*1000) => 3√(27/125) => 3√27 / 3√125
=> 3√(33) / 3√(53) =>3/4
=> 0.6

The largest three digit number which is a perfect cube is?


तीन अंकों की सबसे बड़ी संख्या कोन सी है जो एक पूर्ण घन है?

A)
986

B)
729

C)
981

D)
864


Correct Answer :

729


Explanation :

93 = 729 and 103 = 1000
So the required number = 729

3√(√ 729) = ?

A)
9

B)
3

C)
8

D)
6


Correct Answer :

3


Explanation :

3√(√ 729) = 3√(√ (272))= 3√27
=> 3√(33) = 3

What is the smallest number by which 1400 be divided to make it a perfect cube?


सब से छोटी संख्या ज्ञात करें जिसके द्वारा 1400 को विभाजित करने पर एक पूर्ण घन प्राप्त होता है?

A)
130

B)
145

C)
160

D)
175


Correct Answer :

175


Explanation :

1400 = 23 * 52 * 7
To make it a perfect cube, it must be divided by
52 *7 = 175

Find the least number by which 175760 be multiplied to make it a perfect cube?


सब से छोटी संख्या ज्ञात करें जिसके 175760 को गुणा करने पर एक पूर्ण घन प्राप्त किया जा सकता है?

A)
100

B)
160

C)
80

D)
27


Correct Answer :

100


Explanation :

175760 = 24 *5 *133
To make it a perfect cube it must be multiplied by
22 * 52 = 100.

The cube root of 5.832 is ?


5.832 की घन रूट है?

A)
0.18

B)
0.28

C)
2.8

D)
1.8


Correct Answer :

1.8


Explanation :

3√5.832 = 3√(5832/1000) =3√5832 / 3√1000 = 18/10 =1.8

The difference of squares of two consecutive odd numbers is always ?


दो क्रमागत विषम संख्याओं के वर्गों का अंतर हमेशा होता है?

A)
divisible by 8

B)
divisible by 2

C)
divisible by 16

D)
divisible by 18


Correct Answer :

divisible by 8


Explanation :

Let two odd numbers be (2x + 1) and (2x + 3)
Difference between the squares= (2x + 3)2 - (2x + 1)2
= (4x2 + 12x + 9) - (4x2 + 4x + 1)
= 8x+8
= 8(x+1) which is always divisible by 8

Find the value of the following √156.25 + √0.0081 - √0.0361 ?


निम्नलिखित का मान ज्ञात कीजिए। √156.25 + √0.0081 - √0.0361 ?

A)
13.4

B)
15.4

C)
12.4

D)
17.4


Correct Answer :

12.4


Explanation :

√156.25 + √0.0081 - √0.0361
=12.5+0.09-0.19
=12.4

Find the value of √ (0.25 * 2.25) ?


√(0.25*2.25) का मान ज्ञात कीजिए?

A)
0.075

B)
0.705

C)
0.75

D)
7.500


Correct Answer :

0.75


Explanation :

√ (0.25 * 2.25)
=0.5*1.5
=0.75

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