6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. What is the ratio of the length of a rectangle to the side of a square?

I. The area of the square is 576 sq cm and the area of the rectangle is 600 sq cm.

II. The breadth of the rectangle is half the side of the square.

A) The data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.	B) The data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
C) The data in either Statement I alone are in Statement II alone are sufficient to answer the question.	D) The data in both the Statements I and II are not sufficient to answer the question.

Answer & Explanation Answer:

Explanation:

From statement I, Area of square = 576 sq cm
Side of square = 24 cm
Area of rectangle = l × b
l × b = 600 sq cm
From statement II, Suppose the breadth of the
rectangle is x. Then side of the square = 2x
Combining both the information, we have
x =12 cm
Now, l × 12 = 600

$l = \frac{600}{12} = 50 c m$

Required ratio = $\frac{50}{24} = \frac{25}{12} = 25 : 12$

Both the statements together are sufficient.

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Q:

The first and last terms of an arithmetic progression are 32 and -43. If the sum of the series is -88, then it has how many terms?

A) 16	B) 15
C) 17	D) 14

Answer & Explanation Answer: A) 16

Explanation:

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

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Q:

A jar contains a blend of a fruit juice and water in the ratio 5 : x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the value of x?

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

Answer & Explanation Answer: A) 3

Explanation:

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Filed Under: Alligation or Mixture
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Q:

If tan A = 1/2 and tan B = 1/3, then what is the value of tan (2A + B)?

A) 1	B) 3
C) 5	D) 9

Answer & Explanation Answer: B) 3

Explanation:

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Filed Under: Simplification
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Q:

If $x + \frac{1}{x} = 5, then \frac{6 x}{x^{2} + x + 1}$ value is

A) 3	B) 2
C) 1	D) 0

Answer & Explanation Answer: C) 1

Explanation:

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Filed Under: Simplification
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Q:

In an equilateral triangle of side 24 cms, a circle is inscribed touching its sides. The area of the remaining portion of the triangle is equal to

A) 36.6 sq. cm	B) 54.2 sq. cm
C) 72.8 sq. cm	D) 98.5 sq. cm

Answer & Explanation Answer: D) 98.5 sq. cm

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

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Q:

In a trapezium, one diagonal divides the other in the ratio 2 : 9. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

A) 10	B) 5
C) 18	D) 14

Answer & Explanation Answer: A) 10

Explanation:

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Filed Under: Area
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Q:

On decreasing the price of a fan by 40%, its sales increases by 50%. What will be the percentage increase or decrease in its revenue?

A) 15% increase	B) 15% decrease
C) 10% decrease	D) 10% increase

Quantitative Aptitude - Arithmetic Ability Questions

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