6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle.

A) 20	B) 30
C) 40	D) 50

Answer & Explanation Answer: D) 50

Explanation:

Let x and y be the length and breadth of the rectangle respectively.
Then, x - 4 = y + 3 or x - y = 7 ----(i)
Area of the rectangle =xy; Area of the square = (x - 4) (y + 3)
(x - 4) (y + 3) =xy <=> 3x - 4y = 12 ----(ii)
Solving (i) and (ii), we get x = 16 and y = 9.
Perimeter of the rectangle = 2 (x + y) = [2 (16 + 9)] cm = 50 cm.

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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank PO

21 27670

Q:

Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A) 10 : 5	B) 15 : 2
C) 20 : 2	D) 25 : 2

Answer & Explanation Answer: D) 25 : 2

Explanation:

Indian stamps are common to both ratios. Multiply both ratios by factors such that the Indian stamps are represented by the same number.

US : Indian = 5 : 2, and Indian : British = 5 : 1. Multiply the first by 5, and the second by 2.

Now US : Indian = 25 : 10, and Indian : British = 10 : 2

Hence the two ratios can be combined and US : British = 25 : 2

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Filed Under: Ratios and Proportions
Exam Prep: GRE

220 27667

Q:

Direction: What value should come in place of the question mark (?) in the following question?

$\sqrt{529} * 6 / 2 * ? = 14076$

A) 204	B) 251
C) 102	D) 146

Answer & Explanation Answer: A) 204

Explanation:

23*3*x=14076
69*x=14076
= 69 =204

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

0 27633

Q:

If a=2b/3, b=2c/3, and c=2d/3, then find the ratio of b and d:

A) 8/9	B) 4/9
C) 4/3	D) 5/27

Answer & Explanation Answer: B) 4/9

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

3 27626

Q:

From a pack of 52 cards, 3 cards are drawn. What is the probability that one is ace, one is queen and one is jack?

A) 19/5525	B) 16/5525
C) 17/5525	D) 7/5525

Answer & Explanation Answer: B) 16/5525

Explanation:

Required probability:

$\frac{4 C_{1} * 4 C_{1} * 4 C_{1}}{52 C_{3}} = \frac{4 * 4 * 4}{22100} = \frac{16}{5525}$

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Filed Under: Probability

27 27614

Q:

The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?

A) 14 and 16	B) 13 and 27
C) 17 and 27	D) None of these

Answer & Explanation Answer: B) 13 and 27

Explanation:

Total no.of boys : no. of girls = 13:27

27 : 13

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Filed Under: Alligation or Mixture

69 27608

Q:

Which of the following represents the sides of an acute angled triangle?

A) 6, 9, 16	B) 7, 8, 10
C) 5, 12, 13	D) None of these

Answer & Explanation Answer: B) 7, 8, 10

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 27599

Q:

In the following question, select the odd word from the given alternatives.

A) Register	B) Pen
C) Pencil	D) Writer

Quantitative Aptitude - Arithmetic Ability Questions

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