Quantitative Aptitude - Arithmetic Ability Questions

Q:

If 3x + 5y + 7z = 49 and 9x + 8y + 21z = 126, then what is the value of y?

A) 4 B) 2
C) 3 D) 5
 
Answer & Explanation Answer: C) 3

Explanation:
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Filed Under: Simplification
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Q:

cot3A is equal to

A) 3cotA -­ cot3A(1 -­ 3cot2A) B) 3cotA + cot3A(1 -­ 3cot2A)
C) 3cotA -­ cot3A(1 + 3cot2A) D) 3cotA + cot3A(1 + 3cot2A)
 
Answer & Explanation Answer: A) 3cotA -­ cot3A(1 -­ 3cot2A)

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Q:

By selling 175 pineapples, the gain is equal to the selling price of 50 pineapples. What is the gain percentage?

A) 28 B) 30
C) 32 D) 40
 
Answer & Explanation Answer: D) 40

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Filed Under: Percentage
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Q:

If P/Q = R/S = T/U = 3/4 is (4P + 5R + 7T) : (3Q + 4S + 7U)?

A) 12:19 B) 6:7
C) 3:4 D) 5:8
 
Answer & Explanation Answer: B) 6:7

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Filed Under: Ratios and Proportions
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Q:

What is the simplified value of [2/(cot A – tan A)]?

A) sin A cos A B) tan 2A
C) sin2 A D) cos2 A
 
Answer & Explanation Answer: B) tan 2A

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Q:

An equilateral triangle ABC is inscribed in a circle of radius 20√3.
What is the length of the side of the triangle?

A) 30 cm B) 40 cm
C) 50 cm D) 60 cm
 
Answer & Explanation Answer: D) 60 cm

Explanation:
Radius of circumcircle of an equilateral triangle = side /√3
R = a/√3
a = R√3 = 20√3 *√3 = 60cm
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Filed Under: Volume and Surface Area
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Q:

What is the simplified value of 1-sin A1+sin A ?

A) tan A B) sec A
C) sec A + tan A D) sec A – tan A
 
Answer & Explanation Answer: D) sec A – tan A

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Q:

An angle is (2/3)rd of its supplementary angle. What is the measure of the angle?

A) 108° B) 72°
C) 54° D) 36°
 
Answer & Explanation Answer: B) 72°

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Filed Under: Area
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