6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If $(x + \frac{1}{x}) = 2,$ then find the value of $(x^{3} + \frac{1}{x^{3}}) \div (x^{18} + \frac{1}{x^{18}})$

A) 2/9	B) 5
C) 1	D) 1/9

Answer & Explanation Answer: C) 1

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Q:

Calculate the area (in cm2) of a circle whose diameter is 7 cm.

A) 38.5	B) 77
C) 32.5	D) 65

Answer & Explanation Answer: A) 38.5

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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:

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:

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

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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

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1 53740

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 compound interest on Rs. 10,000 in 2 years at 4% per annum, the interest being compounded half-yearly.

A) 524.32	B) 624.32
C) 724.32	D) 824.32

Answer & Explanation Answer: D) 824.32

Explanation:

Principal = Rs. 10000; Rate = 2% per half-year; Time = 2 years = 4 half-years.
Amount == Rs. 10824.32.

$R s . [10000 * {(1 + \frac{2}{100})}^{4}] = R s . [10000 * \frac{51}{50} * \frac{51}{50} * \frac{51}{50} * \frac{51}{50}]$

$\therefore$ C.I. = Rs. (10824.32 - 10000) = Rs. 824.32.

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Quantitative Aptitude - Arithmetic Ability Questions

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