Quantitative Aptitude - Arithmetic Ability Questions

Q:

What is the value of [(cos 3θ + 2cos 5θ + cos 7θ)÷(cos θ + 2cos 3θ + cos 5θ)] + sin 2θ tan 3θ?

A) cos 2θ B) sin 2θ
C) tan 2θ D) cot θ sin 2θ
 
Answer & Explanation Answer: A) cos 2θ

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Filed Under: Simplification
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Q:

Find the value of '?' in 512 × 125 ÷ 15625 = 3125 × 25?

A) 4 B) 3
C) 2 D) 1
 
Answer & Explanation Answer: B) 3

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Q:

A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is

A) 3:1 B) 1:3
C) 7:3 D) 3:7
 
Answer & Explanation Answer: C) 7:3

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Filed Under: Volume and Surface Area
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Q:

The selling price of an item inclusive of a 16% profit was Rs. 435. What would be the percentage loss if the item was sold for Rs. 330?

A) 13 B) 12
C) 12.5 D) 12.25
 
Answer & Explanation Answer: B) 12

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Filed Under: Profit and Loss
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Q:

If y=2secθ and x=3tanθ then x29-y24 is

A) 0 B) -1
C) 2 D) 1
 
Answer & Explanation Answer: B) -1

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Q:

Two fractions are such that their product is ­4 and sum is ­32/15. Find the two fractions.

A) 6/15, ­-10/3 B) 6/5, ­-10/3
C) 7/2, ­-8/7 D) -10/7, 14/5
 
Answer & Explanation Answer: A) 6/15, ­-10/3

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Filed Under: Problems on Numbers
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Q:

Six years ago, the ratio of the two persons P and Q was 3 : 2. Four years hence the ratio of their ages will be 8 : 7. What is P's age?

A) 10 years B) 12 years
C) 14 years D) 8 years
 
Answer & Explanation Answer: B) 12 years

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Filed Under: Problems on Ages
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Q:

The mean score in a test of the 12 boys in a class was 16 while the overall mean of the 30 students in the class was 18.1. What was the mean score of the girls?

A) 19.8 B) 20.5
C) 20 D) 19.5
 
Answer & Explanation Answer: D) 19.5

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Filed Under: Average
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