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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

**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

**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

**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

**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 = 2^{2}* 2^{2}* 3^{2}* 5^{2}= 3600

**5)
The least perfect square, which is divisible by each of 21, 36 and 66 is :**

- 213444
- 214344
- 214434
- 231444

**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 = 2^{2}* 3^{2}* 7^{2}* 11^{2}= 213444