6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The difference between 44% of a number and 33% of the same number is 286. What is the 54% of that number?

A) 1564	B) 1404
C) 1456	D) 1304

Answer & Explanation Answer: B) 1404

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

16 1518

Q:

If $a$ - $\frac{1}{a}$ =7,then $a^{2}$ + $\frac{1}{a^{2}}$ =?

A) 54	B) 51
C) 53	D) 52

Answer & Explanation Answer: B) 51

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT

0 1518

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
Exam Prep: Bank Exams

7 1518

Q:

A can do a work in 36 days and B in 12 days. If they work on it together for 3 days, then what fraction of work is left?

A) 2/3	B) 1/3
C) 1/4	D) 1/5

Answer & Explanation Answer: A) 2/3

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Filed Under: Time and Work
Exam Prep: Bank Exams

3 1518

Q:

A sum fetched a total simple interest of Rs.5,400 at the rate of 12.5 %/yr in 4 years. What is the sum (in Rs)?

A) 11800	B) 12800
C) 9800	D) 10800

Answer & Explanation Answer: D) 10800

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Filed Under: Simple Interest
Exam Prep: Bank Exams

3 1517

Q:

In a Rhombus ABCD, measure of angle CAB is 35°, what is the measure of angle ABC?

A) 70°	B) 40°
C) 50°	D) 110°

Answer & Explanation Answer: D) 110°

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Filed Under: Simplification
Exam Prep: Bank Exams

2 1517

Q:

If x +y = √3 and x - y = √2, then the value of 8xy $(x^{2} + y^{2})$ is

A) 6	B) √6
C) 5	D) √5

Answer & Explanation Answer: C) 5

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Filed Under: Simplification

1 1516

Q:

For what value of k, the expression $x^{6} - 18 x^{3} + k$ will be a perfect square?

A) -9	B) 81
C) 9	D) -81

Quantitative Aptitude - Arithmetic Ability Questions

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