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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

In the given figure, AQ = 4√2 cm, QC = 6√2 cm and AB = 20 cm. If PQ is parallel to BC, then what is the value of PB (in cm) ?

A) 8 B) 12
C) 6 D) 15
 
Answer & Explanation Answer: B) 12

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Filed Under: Simplification
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Q:

If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x2 – y2)?

A) 0 B) 1
C) 512√2 D) 612√2
 
Answer & Explanation Answer: D) 612√2

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Q:

If sin(A/2) = x, then the value of x is

A) √[(1 + cosA)/2] B) √[(1 -­ cosA)/2]
C) √[(1 -­ sinA)/2] D) √[(1 + sinA)/2]
 
Answer & Explanation Answer: B) √[(1 -­ cosA)/2]

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Q:

The sum of three numbers is 67. If the ratio of the first number to the second number is 3 : 5 and that of the second number to the third number is 4 : 7, then what is the second number ?

A) 20 B) 24
C) 18 D) 16
 
Answer & Explanation Answer: A) 20

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Q:

A solid sphere of radius 6 cm is melted and re-casted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder ?

A) 3 cm B) 1.5 cm
C) 1 cm D) 2.5 cm
 
Answer & Explanation Answer: C) 1 cm

Explanation:

Let, inner radius of cylinder be ‘x’ cm.
4/3 π(6)3 = π × 32 (52 − x2)

or, (4 × 6 × 6 × 6) / (3 × 32) = 25 − x2 or, x2 = 25 − 9
or, x = 4 cm
Hence, thickness = 5 – 4 = 1 cm.

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

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Q:

A can complete a work in 20 days and B can complete the same work in 25 days. If both of them work together, then in 3 days what percent of the total work will be completed?

A) 9 B) 12
C) 25 D) 27
 
Answer & Explanation Answer: D) 27

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Filed Under: Time and Work
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Q:

The rate of working of A and B are in the ratio of 2:3. The number of days taken by them to finish the work is in the ratio:

A) 2:3 B) 4:9
C) 3:2 D) 9:4
 
Answer & Explanation Answer: C) 3:2

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Q:

How long does a train, 75 m long, moving at 60 km/hr take to pass a certain telegraph post?

A) 3.5 seconds B) 4.5 seconds
C) 5 seconds D) 5.4 seconds
 
Answer & Explanation Answer: B) 4.5 seconds

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams , GATE

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