Square Roots and Cube Roots Questions and Answers

Q:

What is the remainder, when $4 x^{4} + 10 x^{3} - 20 x^{2} + 90 is divided by (x + 2)$ ?

A) 0	B) -6
C) 45	D) 90

Answer & Explanation Answer: B) -6

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Q:

65.The angles of elevation of an aeroplane flying vertically above the ground, as observed from the two consecutive stones, 1 km apart; are 45o and 60o. The height of the aeroplane from the ground is

A) 3+1 kms	B) 3+3 kms
C) 123+1 kms	D) 123+3 kms

Answer & Explanation Answer: D) 123+3 kms

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Q:

The simplified form of ${(4 x + 3)}^{2} . (3 x - 5) - (4 x^{3} - 12 x^{2} + 9 x - 20)$ is

A) 6x2- 48x - 50	B) 24x3 + 2x2 - 32x - 15
C) 44x3 + 4x2 - 102x - 25	D) 24x3 + 8x2 - 42x - 50

Answer & Explanation Answer: C) 44x3 + 4x2 - 102x - 25

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Q:

If $\sqrt[3]{\frac{1 - a}{a}} + 9 = 19 - \sqrt[3]{\frac{a}{1 - a}}$ , then what is the value of a?

A) 3/10, 7/10	B) 1/10, 9/10
C) 2/5, 3/5	D) 1/5, 4/5

Answer & Explanation Answer: B) 1/10, 9/10

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Q:

The cube of 105 is

A) 1157625	B) 1175625
C) 1185625	D) 1158625

Answer & Explanation Answer: A) 1157625

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Q:

If 3a=4b=6c and $a + b + c = 27 \sqrt{9}$ then $\sqrt{a^{2} + b^{2} + c^{2}}$ is equal to

A) 87	B) 39
C) 82	D) 83

Answer & Explanation Answer: A) 87

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Q:

If the numbers $\sqrt[3]{9}, \sqrt[4]{20}, \sqrt[6]{25}$ are arranged in ascending order, then the right arrangement is

A) 256 < 204 < 93	B) 93 < 204 < 256
C) 204 < 256 < 93	D) 256 < 93 < 204

Answer & Explanation Answer: D) 256 < 93 < 204

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Q:

The cube of 997 is

A) 991026973	B) 991029673
C) 991029773	D) 991097273

Answer & Explanation Answer: A) 991026973

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Square Roots and Cube Roots Questions

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