6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If ${(a + \frac{1}{a})}^{2} = 3$ , then the value of $a^{3} + \frac{1}{a^{3}}$ is

A) 0	B) a
C) 1/a	D) 1

Answer & Explanation Answer: A) 0

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Filed Under: Simplification
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Q:

Which of the following statements is not true?

A) The difference of two prime numbers, both greater than 2, is divisible by 2	B) For two different integers m, n and a prime number p, if p divides the product m × n, then p divides either m or n.
C) If a number is of the form 6n –1 (n being a natural number), then its is a prime number.	D) There is only one set of three prime numbers such that there is a gap of 2 between two adjacent prime numbers.

Answer & Explanation Answer: D) There is only one set of three prime numbers such that there is a gap of 2 between two adjacent prime numbers.

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Filed Under: Numbers
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Q:

A boat travels 24 km upstream in 6 h and 20 km downstream in 4 h. then, the speed of a boat in still water and the speed of current are respectively

A) 4.5 km/h and 3 km/h	B) 4.5 km/h and 0.5 km/h
C) 4 km/h and 2 km/h 5 km/h and 2 km/h	D) 5 km/h and 2 km/h

Answer & Explanation Answer: B) 4.5 km/h and 0.5 km/h

Explanation:

Distance travelled by boat in upstream=24km

Time taken = 6 h

Speed of the boat in upstream = 24/6 = 4 km/h

And distance travelled by boat in downstream = 20 km

Time taken = 4h Speed of the boat in downstream = 20/4 km/h = 5 km/h

Now, speed of the boat in still water = 1/2 [ speed of the boat in upstream + speed of the boat in downstream] =1/2 [4 + 5] = 1/2 × 9 = 4.5 km/h

And speed of the current = 1⁄2 [speed of the boat in downstream – speed of the boat in upstream] = 1/2 [5 – 4] = 1/2 × 1 = 0.5 km/h

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Filed Under: Boats and Streams
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Q:

2cos[(C+D)/2]sin[(C-D)/2] is equal to

A) sinC + sinD	B) sinC - sinD
C) cosC - cosD	D) cosC + cosD

Answer & Explanation Answer: B) sinC - sinD

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Q:

Simplify $\frac{0.1 x 0.1 x 0.1 + 0.3 x 0.3 x 0.3}{0.3 x 0.3 - 0.3 x 0.1 + 0.1 x 0.1}$

A) 0.09	B) 0.03
C) 0.05	D) 0.04

Answer & Explanation Answer: D) 0.04

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Q:

The perimeters of a square and an equilateral triangle are equal. If the diagonal of the square is 9 cm, what is the area of the equilateral triangle?

A) 18√3 sq cm	B) 9√3 sq cm
C) 18√2 sq cm	D) 9√2 sq cm

Answer & Explanation Answer: A) 18√3 sq cm

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Filed Under: Area
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Q:

Due to inclement weather, an air plane reduced its speed by 300 Km/ hr, and reached the destination of 1200 km late by 2hrs. Then the schedule duration of the flight was.

A) 1 hour	B) 1.5 hour
C) 2 hour	D) 2.5 hour

Answer & Explanation Answer: C) 2 hour

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

10 people can build a wall in 12 days. Six people, each only half as efficient as those in the first group, will be able to complete 3/5 of such a wall in

A) 24 days	B) 20 days
C) 18 days	D) 25 days

Quantitative Aptitude - Arithmetic Ability Questions

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