6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A letter lock consists of three rings each marked with six different letters. The number of distinct unsuccessful attempts to open the lock is at the most ?

A) 215	B) 268
C) 254	D) 216

Answer & Explanation Answer: A) 215

Explanation:

Since each ring consists of six different letters, the total number of attempts possible with the three rings is = 6 x 6 x 6 = 216. Of these attempts, one of them is a successful attempt.

Maximum number of unsuccessful attempts = 216 - 1 = 215.

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Filed Under: Permutations and Combinations
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27 30342

Q:

Solve the following :

$60 \div 5 \times (16 - 8 \div 2) \div 3 = ?$

A) 3	B) 48
C) 1	D) 1/3

Answer & Explanation Answer: B) 48

Explanation:

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1 30300

Q:

ΔXYZ is right angled at Y. If m∠X = 45°, then find the value of (cosecZ + √3/2).

A) (2√2+√3)/2	B) 5/6
C) (1+2√3)/2	D) (√2+1)/√2

Answer & Explanation Answer: A) (2√2+√3)/2

Explanation:

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1 30259

Q:

Assume 57 + 59 + 109 = 0, then find the value of $57^{3} + 59^{3} + 109^{3}$

A) 1099701	B) 1099601
C) 1099801	D) 1098701

Answer & Explanation Answer: A) 1099701

Explanation:

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0 30251

Q:

Find the next number in the following number series?

11, 13, 30, 96, ?

A) 264	B) 392
C) 412	D) 459

Answer & Explanation Answer: B) 392

Explanation:

The given number series 11, 13, 30, 96, ? follows a pattern that,

11

11 x 1 + 2 = 13

13 x 2 + 4 = 30

30 x 3 + 6 = 96

96 x 4 + 8 = 392

Hence, the next number in the given series is 392.

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Filed Under: Odd Man Out
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6 30231

Q:

If $a = \sqrt{5 + 2 \sqrt{2}} & b = \sqrt{5 - 2 \sqrt{2}}$ , then find the value of $a^{2} - b^{2}$ .

A) 2	B) 4
C) 2√2	D) 4√2

Answer & Explanation Answer: D) 4√2

Explanation:

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0 30228

Q:

$∆$ DEF is right angled at E. If m∠F = 60 deg, then find the value of (cotD - 2/√3).

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

Answer & Explanation Answer: B) 1/√3

Explanation:

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0 30220

Q:

∆UVW is right angled at V. If cosU = 8/17, then what is the value of sinW ?

A) 15/17	B) 17/8
C) 8/17	D) 17/15

Quantitative Aptitude - Arithmetic Ability Questions

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