6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Given that $(a^{2} + b^{2}) = 60$ , then find the value of ${(a + b)}^{2} + {(a - b)}^{2}$ ?

A) 90	B) 120
C) 140	D) 150

Answer & Explanation Answer: B) 120

Explanation:

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0 64425

Q:

1 4 27 Sequence ...

Find the next two numbers in the above sequnce?

A) 256 & 3125	B) 3125, 46656
C) 46656, 859587	D) None

Answer & Explanation Answer: A) 256 & 3125

Explanation:

The above given sequence follows a pattern that,

$1 2^{2} = 4 3^{3} = 27 4^{4} = 256 5^{5} = 3125 6^{6} = 46656 and so on . . .$

Therefore, the next two numbers in the given sequence is 256 & 3125.

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6 64421

Q:

If log 27 = 1.431, then the value of log 9 is

A) 0.754	B) 0.854
C) 0.954	D) 0.654

Answer & Explanation Answer: C) 0.954

Explanation:

log 27 = 1.431
log $(3^{3})$ = 1.431
3 log 3 = 1.431
log 3 = 0.477
log 9 = log( $3^{2}$ )= 2 log 3 = (2 x 0.477) = 0.954

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130 64174

Q:

Find the next number in the sequence?

28, 16, 28, 76, 274

A) 1233	B) 1243
C) 1256	D) 1276

Answer & Explanation Answer: B) 1243

Explanation:

Given number sequence is 28, 16, 28, 76, 274

Here the sequence follows a pattern that

28

28 x 0.5 + 2 = 14 + 2 = 16

16 x 1.5 + 4 = 24 + 4 = 28

28 x 2.5 + 6 = 70 + 6 = 76

76 x 3.5 + 8 = 266 + 8 = 274

274 x 4.5 + 10 = 1233 + 10 = 1243

Hence, the next number in the given number sequence is 1243.

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1 64094

Q:

∆ABC is right angled at B. If cosA = 8/17, then what is the value of cotC ?

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

Answer & Explanation Answer: A) 15/8

Explanation:

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3 63817

Q:

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

I . $\frac{1}{1 \times 3} + \frac{1}{3 \times 5} + \frac{1}{5 \times 7} + . . . + \frac{1}{11 \times 13} = \frac{12}{13}$

II. $\frac{1}{1 \times 2} + \frac{1}{2 \times 3} + \frac{1}{3 \times 4} + . . . + \frac{1}{12 \times 13} = \frac{12}{13}$

A) Only I	B) Only II
C) Both I and II	D) Neither I nor II

Answer & Explanation Answer: B) Only II

Explanation:

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Q:

If ${(x - 7)}^{2} + {(y + 10)}^{2} + {(z - 6)}^{2} = 0$ , then find the value of x + y + z.

A) 1	B) 3
C) 5	D) 7

Answer & Explanation Answer: B) 3

Explanation:

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1 63567

Q:

Find the odd one out of the floowing number series?

270, 261, 279, 252, 289, 243

A) 270	B) 279
C) 289	D) 243

Answer & Explanation Answer: C) 289

Explanation:

Here the given number series is 270, 261, 279, 252, 289, 243

270 - 9 = 261

261 + 18 = 279

279 - 27 = 252

252 + 36 = 288 (not equals to 289)

288 - 45 = 243

Hence, the odd number in the given number series is 289.

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5 63259

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