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Q:

If x : y = 1 : 3, then what will be the ratio of $(3 y^{2} + 3 x^{2}) : (2 y^{2} - 8 x^{2})$ ?

A) 4 : 1	B) 2 : 1
C) 3 : 1	D) 5 : 1

Answer & Explanation Answer: C) 3 : 1

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Filed Under: Ratios and Proportions
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Q:

If $s + \frac{1}{s} = 4$ , then the value of $s^{2} + \frac{1}{s^{2}}$

A) 14	B) 16
C) 20	D) 24

Answer & Explanation Answer: A) 14

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Filed Under: Simplification
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Q:

Which of the following value of 'x' satisfies the equation

$4^{x - 1} . 9^{2 x - 6} = 5184$

A) 2	B) 3
C) 4	D) 6

Answer & Explanation Answer: C) 4

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Filed Under: Simplification
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Q:

Find the unit place digit in the given expression.

${(153)}^{144} - {(115)}^{123} - {(111)}^{510} + {(216)}^{25}$

A) 1	B) 5
C) 6	D) 3

Answer & Explanation Answer: A) 1

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Q:

Calculate the value of x if $\sqrt{1 - (\frac{x}{289})} = \frac{15}{17}$

A) 64	B) 44
C) 36	D) 54

Answer & Explanation Answer: A) 64

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Q:

If $3 \cos^{2} x - 2 \sin^{2} x = - 0.75 and 0 ° ⩽ x ⩽ 90 °, then x = ?$

A) 30 deg	B) 90 deg
C) 60 deg	D) 45 deg

Answer & Explanation Answer: C) 60 deg

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Q:

Which of the following statements is/are INCORRECT?

A. The value of G on the moon is equal to that on the earth.

B. 26.68 x $10^{- 11}$ N is the force of gravitation between two point masses of 2 kg and 2kg kept 1 m apart.

C. Newton's law of gravitation is valid in the laboratory only.

D. Force is inversely proportional to the square of the distance between two bodies.

A) B, C and D	B) C and D only
C) Only C	D) Only A

Answer & Explanation Answer: C) Only C

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Filed Under: Physics
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Q:

If $12 x^{2} - ax + 7 = {ax}^{2} + 9 x + 3$ has only one (repeated) solution, then the positive integral solution of a is

A) 2	B) 4
C) 3	D) 5

Answer & Explanation Answer: C) 3

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Filed Under: Simplification
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