6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is:-

A) 1:2	B) 2:3
C) 3:4	D) 3:5

Answer & Explanation Answer: B) 2:3

Explanation:

Let the ratio be x : y
Total boys = 16.4 X x
Total girls = 15.4 X y
Total number of students in class = 16.4x + 15.4y
The average age of all students is 15.8
The total age of boys is 15.8x
The total age of girls is 15.8y
16.4x + 15.4y = 15.8x + 15.8y
0.6 x = 0.4 y
x/y = 0.4/0.6 = 2/3

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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Q:

If 7x - 5y = 13 and 2x - y = 5, then (x - y) is

A) 3	B) 4
C) 5	D) 1

Answer & Explanation Answer: D) 1

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

The sum of a non-zero number and its reciprocal is 2. What is the number?

A) 1	B) 2
C) 0	D) 4

Answer & Explanation Answer: A) 1

Explanation:

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

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Q:

Divide 20 into two parts such that the sum of the square of the parts is 232. What is the value of the two parts?

A) 6, 14	B) 8, 12
C) 4, 16	D) 10, 10

Answer & Explanation Answer: A) 6, 14

Explanation:

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Filed Under: Numbers
Exam Prep: Bank Exams , CAT

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Q:

If $a + \frac{1}{a} = 2 t h e n t h e v e a l u e o f a^{5} + \frac{1}{a^{5}}$ will be

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

Answer & Explanation Answer: B) 1

Explanation:

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Filed Under: Average

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Q:

The value of $\cos^{2} 20 ° + \cos^{2} 70 °$ is

A) √2	B) 2
C) 1	D) 1/√2

Answer & Explanation Answer: C) 1

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability

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Q:

If the measures of the angles of a triangle are in the ratio. 1:2:3 and if the length of the smallest side of the triangle is 10cm, then the length of the longest side is

A) 20cm	B) 22cm
C) 24cm	D) 18cm

Answer & Explanation Answer: A) 20cm

Explanation:

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

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Q:

ABCD is a parallelogram in which AB = 7 cm, BC = 9 cm and AC = 8 cm. What is the length (in cm) of other diagonal?

A) 14	B) 14√2
C) 7	D) 7√2

Quantitative Aptitude - Arithmetic Ability Questions

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