6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Which of the following statements is/are true?

$I . 11 \frac{1}{2} + 17 \frac{3}{4} - 5 \frac{1}{5} - 2 \frac{1}{10} = \frac{439}{20} II . \frac{9}{1078} > \frac{11}{1127} > \frac{12}{1219} III . \frac{149}{151} > \frac{153}{155} > \frac{157}{159}$

A) Only I	B) Only II
C) Only III	D) None is true.

Answer & Explanation Answer: A) Only I

Explanation:

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Q:

The ratio of the areas of a square and a regular hexagon, both inscribed in a circle is?

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

Answer & Explanation Answer: A) 4 : 3√3

Explanation:

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Q:

Find the next number in the given number series?

96, 95, 87, 78, ?

A) 64	B) 57
C) 29	D) 14

Answer & Explanation Answer: D) 14

Explanation:

The given number series is 96, 95, 87, 78, ?

It follows a pattern that,

$96 96 - 1^{2} = 95 95 - 2^{3} = 95 - 8 = 87 87 - 3^{2} = 87 - 9 = 78 78 - 4^{3} = 78 - 64 = 14$

Hence, the next number in the given number series is 14.

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Q:

Solve the following:

$\frac{1}{1 + sinθ} + \frac{1}{1 - sinθ} = ?$

A) 2cos2θ	B) 1
C) 0	D) 2sec2θ

Answer & Explanation Answer: D) 2sec2θ

Explanation:

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Q:

∆DEF is right angled at E. If tanD = 12/5, then what is the value of secF ?

A) 5/12	B) 13/5
C) 5/13	D) 13/12

Answer & Explanation Answer: D) 13/12

Explanation:

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Q:

The average temperature for Monday, Tuesday, Wednesday and Thursday was 48 degrees and for Tuesday, Wednesday, Thursday and Friday was 46 degrees. If the temperature on Monday was 42 degrees. Find the temperature on Friday ?

A) 34	B) 36
C) 38	D) 40

Answer & Explanation Answer: A) 34

Explanation:

M + Tu + W + Th = 4 x 48 = 192
Tu + W + Th + F = 4 x 46 = 184
M = 42
Tu + W + Th = 192 - 42 = 150
F = 184 – 150 = 34

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62 45697

Q:

If $\sqrt{15 \sqrt{15 \sqrt{15 \sqrt{15 \sqrt{15 . . . . . . . \infty}}}}}$ and x > 0, then find the value of $x^{2} + 4$ .

A) 125	B) 179
C) 200	D) 229

Answer & Explanation Answer: D) 229

Explanation:

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Q:

If $p & q = p^{2} + 4 pq - q^{2}$ then find the value of (3 & 6) + (4 & 5).

A) 98	B) 106
C) 116	D) 126

Quantitative Aptitude - Arithmetic Ability Questions

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