6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the missing number in the given number series?

5 11 21 44 ? 175

A) 86	B) 78
C) 94	D) 102

Answer & Explanation Answer: A) 86

Explanation:

Here the given number series is 5 11 21 44 ? 175

Now the given series follows a pattern, that

x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,...

Then the missing number is x2 - 2

= 44 x 2 - 2 = 88 - 2 = 86

Hence, the missing number in the number series is 86.

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2 48393

Q:

If $4^{x} = \sqrt[7]{1024}$ , then what is the value of x?

A) 5/7	B) 4/7
C) 3/7	D) 6/7

Answer & Explanation Answer: A) 5/7

Explanation:

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1 48383

Q:

If $\frac{7 x + 9 y}{3 x - 4 y} = \frac{19}{8}$ , then the value of x/y is

A) 148/1	B) 1/148
C) 145/1	D) 1/145

Answer & Explanation Answer: A) 148/1

Explanation:

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Q:

If $\sin θ = 40 / 41$ , then $c o t θ$ is

A) 40/9	B) 9/40
C) 9/41	D) 41/9

Answer & Explanation Answer: B) 9/40

Explanation:

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Q:

Find the wrong number in the given number series?

5, 8, 40, 90, 664

A) 8	B) 40
C) 90	D) 664

Answer & Explanation Answer: B) 40

Explanation:

The given number series is 5, 8, 40, 90, 664

5

5 - 1 x 2 = 8

8 - 3 x 4 = 20 (NOT 40)

20 - 5 x 6 = 90

90 - 7 x 8 = 664

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15 48162

Q:

A water tank is two-fifth full.Pipe A can fill a tank in 10 minutes and pipe B can empty it in 6 minutes.If both the pipes are open,how long will it take to empty or fill the tank completely?

A) 6 min.to empty	B) 6 min.to fill
C) 9 min.to empty	D) 9 min.to fill

Answer & Explanation Answer: A) 6 min.to empty

Explanation:

Clearly,pipe B is faster than pipe A and so,the tank will be emptied.

part to be emptied = 2/5

part emptied by (A+B) in 1 minute= $(\frac{1}{6} - \frac{1}{10}) = \frac{1}{15}$

$\frac{1}{15} : \frac{2}{5} : : 1 : x$

$\frac{2}{5} * 15 = 6 m i n s$

so, the tank will be emptied in 6 min

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87 48122

Q:

If $y = 1^{3} + 2^{3} + 3^{3} + 4^{3} + 5^{3} + 6^{3}$ then find the value of y - 1.

A) 429	B) 439
C) 440	D) 441

Answer & Explanation Answer: C) 440

Explanation:

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Q:

Find compound interest on Rs. 7500 at 4% per annum for 2 years, compounded annually.

A) 612	B) 712
C) 812	D) 912

Answer & Explanation Answer: A) 612

Explanation:

Amount = Rs [7500*(1+(4/100)2] = Rs (7500 * (26/25) * (26/25) ) = Rs. 8112.
therefore, C.I. = Rs. (8112 - 7500) = Rs. 612.

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59 48022

Quantitative Aptitude - Arithmetic Ability Questions

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