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The smallest number by which 1100 must be multiplied so that the product becomes a perfect square is____. 
A) 11 B) 5 C) 2 D) 10 Correct Answer : 11 Explanation : Prime factorization of 1100: 1100 = 2 x 2 x 5 x 5 x 11 In order to make it a perfect square, 1100 should be multiplied by 11 1100x11 = 2² x 5² x 11 x 11 = 2² x 5² x 11² = 12100. 
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Find the least number which when multiplied with 74088 will make it a perfect square ? 
A) 42
B) 44
C) 46
D) 48
Correct Answer : 42 Explanation : 74088 = 2 * 2 * 2 * 3 * 3 * 3 * 7 * 7 * 7 
Find the least number by which 175760 be devided to make it a perfect cube ? 
A) 10
B) 20
C) 100
D) 5
Correct Answer : 10 Explanation : 175760 = 2^{4} x 5 x 13 ^{3} 
√(248 + √(52+ √144)) = ? 
A) 14
B) 16
C) 16.6
D) 18.8
Correct Answer : 16 Explanation : √(248 + √(52 + √144)) 
250 / √? = 10 
A) 25
B) 250
C) 625
D) 2500
Correct Answer : 625 Explanation : Let 250 / √x = 10. 
√(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) 
If √2^{n} = 64, then the value of n is ? 
A) 2
B) 4
C) 6
D) 12
Correct Answer : 12 Explanation : √2^{n} = 64 

(√5  √3)/ (√5 + √3) is equal to ? 
A) 4 + √15
B) 4  √15
C) 1/2
D) 1
Correct Answer : 4  √15 Explanation : (√5  √3)/ (√5 + √3) 
^{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 
The largest three digit number which is a perfect cube is? 
A) 986
B) 729
C) 981
D) 864
Correct Answer : 729 Explanation : 9^{3} = 729 and 10^{3} = 1000 

^{3}√(√ 729) = ? 
A) 9
B) 3
C) 8
D) 6
Correct Answer : 3 Explanation : ^{3}√(√ 729) = ^{3}√(√ (27^{2}))= ^{3}√27 
What is the smallest number by which 1400 be divided to make it a perfect cube? 
A) 130
B) 145
C) 160
D) 175
Correct Answer : 175 Explanation : 1400 = 2^{3} * 5^{2 }* 7 
Find the least number by which 175760 be multiplied to make it a perfect cube? 
A) 100
B) 160
C) 80
D) 27
Correct Answer : 100 Explanation : 175760 = 2^{4} *5 *13^{3} 
The cube root of 5.832 is ? 
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 ? 
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) 
Find the value of the following √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 
Find the value of √ (0.25 * 2.25) ? 
A) 0.075
B) 0.705
C) 0.75
D) 7.500
Correct Answer : 0.75 Explanation : √ (0.25 * 2.25) 