6500+ Quantitative Aptitude Questions and Answers With Explanation

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

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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

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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

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Q:

The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 35 kms. what was the total distance travelled in 12 hours?

A) 456 kms	B) 482 kms
C) 552 kms	D) 556 kms

Answer & Explanation Answer: C) 552 kms

Explanation:

Total distance travelled in 12 hours =(35+37+39+.....upto 12 terms)
This is an A.P with first term, a=35, number of terms,
n= 12,d=2.
Required distance = 12/2[2 x 35+{12-1) x 2]
=6(70+23)
= 552 kms.

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Q:

Find the value of ${[7 {(64^{\frac{1}{3}} + 27^{\frac{1}{3}})}^{3}]}^{\frac{1}{4}}$

A) 7	B) 6
C) 49	D) 343

Answer & Explanation Answer: A) 7

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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

Answer & Explanation Answer: A) 87/425

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Q:

Which of the following statement(s) is/are TRUE?

$I . \sqrt{12} > \sqrt[3]{16} > \sqrt[4]{24} II . \sqrt[3]{25} > \sqrt[4]{32} > \sqrt[6]{48} III . \sqrt[4]{9} > \sqrt[3]{15} > \sqrt[6]{24}$

A) Only I and II	B) Only I and III
C) Only I	D) All are true.

Answer & Explanation Answer: A) Only I and II

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Q:

Find the volume (in cm³) of a cube of side 4.5 cm.

A) 55.467	B) 14.445
C) 91.125	D) 26.465

Quantitative Aptitude - Arithmetic Ability Questions

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