6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is :

A) 285	B) 290
C) 297	D) 305

Answer & Explanation Answer: A) 285

Explanation:

Since the month begins with a Sunday, so there will be five Sundays in the month,

Required average = (510 * 5 + 240 * 25) / 30 = 8550/30 = 285.

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Q:

What is the value of (cosec60 - 1/2) ?

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

Answer & Explanation Answer: A) (4-√3)/2√3

Explanation:

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Q:

If $p = \sqrt{72 - \sqrt{72 - \sqrt{72 - \sqrt{72 - . . . . . \infty}}}}$ , then find the value of $2 p^{2} + 1$ ?

A) -129	B) -163
C) 129	D) 163

Answer & Explanation Answer: C) 129

Explanation:

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Q:

Which of the following conditions is correct for a right angled triangle?

A) Sum of the two angles of a triangle is greater than the third angle	B) Sum of the two angles of a triangle is less than the third angle
C) Sum of the two angles of a triangle is equal to the third angle	D) None of these

Answer & Explanation Answer: C) Sum of the two angles of a triangle is equal to the third angle

Explanation:

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Q:

Solve the following

24/(19 - 9 / 3 x 9) = ?

A) -3	B) -4
C) 3	D) 6

Answer & Explanation Answer: A) -3

Explanation:

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Q:

If x = 4 + √15, then what is the value of $[x^{2} + (1 / x^{2})]$ ?

A) 62	B) 64
C) 34	D) 36

Answer & Explanation Answer: A) 62

Explanation:

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Q:

The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is :

A) 35	B) 36.5
C) 40	D) 42

Answer & Explanation Answer: B) 36.5

Explanation:

Correct Sum = (36 * 50 + 48 - 23) = 1825.

Correct mean = = 1825/50 = 36.5

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Q:

If Tan A = 15/8 and Tan B = 7/24, then Cos (A + B) = ?

A) 87/425	B) 304/425
C) 297/425	D) 416/425

Quantitative Aptitude - Arithmetic Ability Questions

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