6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $x = 6 + 2 \sqrt{6}$ , then what is the value of $\sqrt{x - 1} + \frac{1}{\sqrt{x - 1}}$ ?

A) 2√3	B) 3√2
C) 2√2	D) 3√3

Answer & Explanation Answer: A) 2√3

Explanation:

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

0 2043

Q:

What is the value of ( 1/3 - cot60°) ?

A) (2-√3)/2√3	B) (√2-1)/√2
C) (1-√3)/3	D) (√3-4)/2√3

Answer & Explanation Answer: C) (1-√3)/3

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Filed Under: Simplification
Exam Prep: Bank Exams

0 2043

Q:

In a circle of radius 8 cm, AB and AC are two chords such that AB = AC = 12 cm. What is the length of chord BC?

A) 2√6 cm	B) 3√6 cm
C) 3√7 cm	D) 6√7 cm

Answer & Explanation Answer: D) 6√7 cm

Explanation:

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

2 2043

Q:

Arrange the fractions $\frac{3}{4}, \frac{5}{12}, \frac{13}{16}, \frac{16}{29}, \frac{3}{8}$ in their ascending order of their magnitude?

A) 3/4 < 3/8 < 13/16 < 16/19 < 5/12	B) 3/8 < 5/12 < 16/29 < 3/4 < 13/16
C) 3/8 < 5/12 < 16/29 < 13/16 < 3/4	D) 3/8 < 5/12 < 13/16 < 16/29 < 3/4

Answer & Explanation Answer: B) 3/8 < 5/12 < 16/29 < 3/4 < 13/16

Explanation:

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Filed Under: Decimal Fractions
Exam Prep: Bank Exams

2 2042

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

1 2042

Q:

If $\frac{cosθ}{1 - sinθ} + \frac{cosθ}{1 + sinθ} = 4$ , then the value of $θ (0 ° < θ < 90 °)$ ?

A) 60°	B) 45°
C) 30°	D) 35°

Answer & Explanation Answer: A) 60°

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 2041

Q:

The length of a median of an equilateral triangle is 12√3 cms. Then the area of the triangle is

A) 144 sq. cms	B) 288√3 sq. cms
C) 144√3 sq. cms	D) 288sq.cms

Answer & Explanation Answer: C) 144√3 sq. cms

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 2041

Q:

Select the odd word from the given alternatives.

A) Nylon	B) Wool
C) Silk	D) Cotton

Quantitative Aptitude - Arithmetic Ability Questions

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