Quantitative Aptitude - Arithmetic Ability Questions

Q:

cot2A + cos2A is equal to

A) (cosecA -­ sinA)2(cosecA + sinA) B) (cosecA + sinA)(cosecA -­ sinA)
C) (secA + sinA)(secA -­ sinA) D) (secA -­ sinA)2(secA + sinA)
 
Answer & Explanation Answer: B) (cosecA + sinA)(cosecA -­ sinA)

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Q:

The point of intersection of all the three medians of a triangle is called its

A) orthocentre B) incentre
C) centroid D) circumcentre
 
Answer & Explanation Answer: C) centroid

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Filed Under: Area
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Q:

Simplify: (213 x 213 + 187 x 187)

A) 80338 B) 80438
C) 60338 D) 60438
 
Answer & Explanation Answer: A) 80338

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Q:

ABC is a triangle. AB = 5 cm, AC = √41 cm and BC = 8 cm. AD is perpendicular to BC. What is the area (in cm2) of triangle ABD?

A) 12 B) 6
C) 10 D) 20
 
Answer & Explanation Answer: B) 6

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Q:

The sum of the ages of Ram and Shyam is 49. The difference between the age of Shyam and twice the age of Ram is 8. What is the age (in years) of Ram?

A) 30 B) 20
C) 19 D) 29
 
Answer & Explanation Answer: C) 19

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Q:

Akash is 3 times as good a workman as Baldev and therefore is able to finish a job in 40 days less than Baldev. Working together, they can finish it in _____.

A) 15 days B) 60 days
C) 20 days D) 10 days
 
Answer & Explanation Answer: A) 15 days

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Filed Under: Time and Work
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Q:

A can do a work in 21 days and B in 42 days. If they work on it together for 7 days, then what fraction of work is left?

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

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Q:

The sum of the ages of father and a son presently is 70 years. After 10 years, the son's age is exactly half that of the father. What are their ages now?

A) 45 years, 25 years B) 50 years, 20 years
C) 47 years, 23 years D) 50 years, 25 years
 
Answer & Explanation Answer: B) 50 years, 20 years

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