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Square Roots and Cube Roots interview questions and answers

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1)
( √625 / 11 * 14/√25 * 11/√196 ) is equal to :
  • 5
  • 6
  • 8
  • 11
+ View Answer
  • Answer
  • a) 5
  • Explanation
  • Given exp = 25/11 * 14/5 * 11/14 = 5.

2)
If x*y = x + y + √xy, the value of 6 * 24 is :
  • 41
  • 42
  • 43
  • 44
+ View Answer
  • Answer
  • b) 42
  • Explanation
  • 6 * 24 = 6 + 24 + √6 * 24 = 30 + √144 = 30 + 12 = 42.

3)
How many two-digit numbers satisfy this property : The last digit ( unit's digit ) of the square of the two-digit number is 8 ?
  • 1
  • 2
  • 3
  • None of these
+ View Answer
  • Answer
  • d) None of these
  • Explanation
  • A number ending in 8 can never be a perfect square.

4)
The least perfect square number divisible by 3, 4, 5, 6 and 8 is :
  • 900
  • 1200
  • 2500
  • 3600
+ View Answer
  • Answer
  • d) 3600
  • Explanation
  • L.C.M of 3,4,5,6,7,8, is 120. Now, 120 = 2 * 2 * 2 * 3 * 5.
    To make it a perfect square, it must be multiplied by 2 * 3 * 5.
    So, required number = 22 * 22 * 32 * 52 = 3600

5)
The least perfect square, which is divisible by each of 21, 36 and 66 is :
  • 213444
  • 214344
  • 214434
  • 231444
+ View Answer
  • Answer
  • a) 213444
  • Explanation
  • L.C.M of 21,36,66 = 2772. Now, 2772 = 2 * 2 * 3 * 3 * 7 * 11.
    To make it a perfect square, it must be multiplied by 7 * 11.
    So, required number = 22 * 32 * 72 * 112 = 213444