Quantitative Aptitude - Arithmetic Ability Questions

Q:

Expand and simplify (x + 5)2 + (x - 3)2

A) 2(x2 + 2x - 17) B) 2(x2 - 2x + 17)
C) 2(x2 - 2x - 17) D) 2(x2 + 2x + 17)
 
Answer & Explanation Answer: D) 2(x2 + 2x + 17)

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Filed Under: Simplification
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Q:

If sec θ (cos θ + sin θ) = √2, then what is the value of (2 sin θ)/(cos θ – sin θ)?

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

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Q:

Select the odd word/letters/number/number pair from the given alternatives.

A) AI B) OU
C) AD D) IO
 
Answer & Explanation Answer: C) AD

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Filed Under: Odd Man Out
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Q:

If a.sin 45°.cos 45°.tan60° = tan 245° ­ cos60° then find the value of a ?

A) 13 B) 3
C) 1 D) 32
 
Answer & Explanation Answer: A) 13

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Q:

The average weight of 25 bags is 55 kg. The weight of one bag was misread as 65 instead of 56. Find the correct mean value.

A) 55.25 B) 55.36
C) 54.64 D) 55.65
 
Answer & Explanation Answer: C) 54.64

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Filed Under: Average
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Q:

A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is

A) 5√5 cm B) 5√3 cm
C) 5√15 cm D) 5√10 cm
 
Answer & Explanation Answer: C) 5√15 cm

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Filed Under: Volume and Surface Area
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Q:

Fraction that lies between 2/5 and 4/9 is

A) 3/7 B) 3/4
C) 4/5 D) 1/2
 
Answer & Explanation Answer: A) 3/7

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Filed Under: Decimal Fractions
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Q:

The number of students in a class is increased by 20% and the number now becomes 66. Initially the number was

A) 45 B) 50
C) 55 D) 60
 
Answer & Explanation Answer: C) 55

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