6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If ${(4 a - 3)}^{2} = 0,$ then the value of $64 a^{3} + 12 a + 13$ is

A) 0	B) 11
C) 22	D) 33

Answer & Explanation Answer: C) 22

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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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
Exam Prep: Bank Exams

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Q:

A shopkeeper, sold dried apricots at the rate Rs 1210 a kg and bears a loss of 12%. Now if he decides to sell it at Rs 1331 per kg, what will be the result?

A) 6.4 percent loss	B) 3.2 percent gain
C) 6.4 percent gain	D) 3.2 percent loss

Answer & Explanation Answer: D) 3.2 percent loss

Explanation:

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Filed Under: Profit and Loss
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
Exam Prep: Bank Exams

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Q:

If 2 cos θ = 2 – sin θ, then what is the value of cos θ?

A) 1 or 3/5	B) 1 or –1/2
C) –1 or–1/2	D) –1 or 3/5

Answer & Explanation Answer: A) 1 or 3/5

Explanation:

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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:

If the product of two numbers is 2646 and their LCM is 42 then their HCF is

A) 64	B) 26
C) 46	D) 63

Answer & Explanation Answer: D) 63

Explanation:

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

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Q:

If the salary of Manoj is 40% less than that of Subhash, then by how much percentage is the salary of Subhash more than that of Manoj?

A) 60%	B) 6614%
C) 6623%	D) 65%

Quantitative Aptitude - Arithmetic Ability Questions

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