6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If 1 + secA = x, then the value of x is

A) sinAtanA/(1 + cosA)	B) √[sinAtanA/(1 - cosA)]
C) sinAtanA/(1 - cosA)	D) √[sinAtanA/(1 + cosA)]

Answer & Explanation Answer: C) sinAtanA/(1 - cosA)

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

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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:

A person clapped his hands near a cliff and heard echo after 6 s. The distance of the cliff from the personis: [take v = 346 m/s]

A) 1038 m	B) 1083 m
C) 2076 m	D) 2706 m

Answer & Explanation Answer: A) 1038 m

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Filed Under: Time and Distance
Exam Prep: Bank Exams

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Q:

A can do 75% of a job in 9 days and B can do half of the job in 8 days. If they work on it together, then in how many days can they do half of the job?

A) 40/7	B) 24/7
C) 7/2	D) 9/2

Answer & Explanation Answer: B) 24/7

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Filed Under: Time and Work
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Q:

Rs. 490 is divided among A, B and C such that A's share is half that of B's and thrice that of C's. What is C's share?

A) Rs.49	B) Rs.147
C) Rs.294	D) Rs.245

Answer & Explanation Answer: A) Rs.49

Explanation:

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Filed Under: Partnership
Exam Prep: Bank Exams

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Q:

The price of an article is decreased by 10%. To restore it to its former value, the new price must be increased by

A) 9 1/11%	B) 10%
C) 11%	D) 11 1/9%

Answer & Explanation Answer: D) 11 1/9%

Explanation:

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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

Find the LCM of 0.63, 10.5, 2.1, 4.20

A) 63	B) 0.63
C) 6.30	D) 6300

Quantitative Aptitude - Arithmetic Ability Questions

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