6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Find the angle between the hour hand and the minute hand of a clock when the time is 3.25

A) 47.5 degrees	B) 57.5 degrees
C) 45.5 degrees	D) 55.5 degrees

Answer & Explanation Answer: A) 47.5 degrees

Explanation:

At 3 O'clock, Minute hand is at 12 while the Hour hand is at 3. Again the minute hand has to sweep through ( 30 x 5 ) ie 150° for reaching the figure 5 to show 25 mins.

Simultaneously the Hour hand will also rotate for 25 mins. Thus starting from the mark, 3 the hour hand will cover an angle = (25 x 30) / 60 = 12.5°

Hence, Angle between Hour and the Minute hand = ( 60 - 12.5 ) = 47.5°

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

175 66302

Q:

Simplify $(2 \sqrt{392} - 21) + {(\sqrt{8} - 7)}^{2} = {(?)}^{2}$

A) 4	B) 5
C) 6	D) 9

Answer & Explanation Answer: C) 6

Explanation:

${(?)}^{2} = (2 \times 7 \sqrt{8} - 21 + 8 + 49 - 14 \sqrt{8}) = 57 - 21 = 36 = > ? = \pm 6$

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

15 66236

Q:

1397 x 1397 = ?

Here what replaces '?'

A) 1951609	B) 1821504
C) 2031489	D) 1847879

Answer & Explanation Answer: A) 1951609

Explanation:

1397 x 1397

Number System mcq solution image

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17 66155

Q:

A watch which gains uniformly ,is 5 min,slow at 8 o'clock in the morning on sunday and it is 5 min 48 sec.fast at 8 p.m on following sunday. when was it correct?

A) 7pm on wednesday	B) 20 min past 7pm on wednesday
C) 15min past 7pm on wednesday	D) 8pm on wednesday

Answer & Explanation Answer: B) 20 min past 7pm on wednesday

Explanation:

This sunday morning at 8:00 AM, the watch is 5 min. Slow, and the next sunday at 8:00PM it becomes 5 min 48 sec fast. The watch gains $5 + 5 \frac{48}{60}$ min in a time of (7×24)+12 = 180 hours.

To show the correct time, it has to gain 5 min.

$\frac{54}{5} m i n \to 180 h o u r s$

5min ->

$(\frac{5}{\frac{54}{2}} \times 180)$

$83 \frac{1}{3} h r s = 72 h r s + 11 \frac{1}{3} h r s = 3 d a y s + 11 h r s + 20 m i n$

So the correct time will be shown on wednesday at 7:20 PM

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

230 66129

Q:

If 4 (A's capital) = 6 (B's capital) = 10 (C's capital), then out of a profit of Rs. 4650, C will receive ____

A) Rs.700	B) Rs.800
C) Rs.900	D) Rs.1000

Answer & Explanation Answer: C) Rs.900

Explanation:

Let 4A = 6B = 1OC = k. Then, A = k/4, B = k/6, and C =k/10 .

A : B :C = k/4 : k/6 : k/10 = 15 : 10 : 6.

Hence, C's share (4650 * 6/31) = Rs, 900.

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Filed Under: Partnership

89 65925

Q:

Find the Odd one out of the given series

6, 15, 35, 77, 165, 221

A) 221	B) 165
C) 35	D) 77

Answer & Explanation Answer: B) 165

Explanation:

The terms of the series are products of two consecutive prime numbers i.e.

(2 x 3), (3 x 5), (5 x 7), (7 x 11),.....

So, 165 is wrong and must be replaced by (11 x 13) i.e. 143.

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Filed Under: Odd Man Out
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16 65869

Q:

311, 230, 294, ?, 281, 256

What will come in place of the question mark (?) in the above number series?

A) 240	B) 245
C) 244	D) 246

Answer & Explanation Answer: B) 245

Explanation:

Given 311 230 294 ? 281 256

311 - (9x9) = 230

230 + (8x8) = 294

294 - (7x7) = 245

245 + (6x6) = 281

281 - (5x5) = 256

Hence, the missing number in the given series is 245.

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Filed Under: Odd Man Out
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8 65581

Q:

How many of the following numbers are divisible by 132?

264,396,462,792,968,2178,5184,6336

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

Answer & Explanation Answer: A) 4

Explanation:

132 = 4 x 3 x 11, So if the number is divisible by all three numbers 4,3 and 11,then the number is divisible by 132 also.
264 => 4,3,11(/)
396 => 4,3,11(/)
462 => 11,3
792 => 4,3,11(/)
968 => 11,4
2178 => 11,3
5184 => 3,4
6336 => 4,3,11(/)
Required number of numbers=4.

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Filed Under: Numbers

32 65150

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