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 67806

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 67778

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

231 67648

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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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: IT Trainer , Database Administration , Bank PO , Bank Clerk , Analyst

2 67351

Q:

Simplify the following expression?

40% of ( $\frac{24}{4} x ?$ ) = 48

A) 24	B) 22
C) 20	D) 18

Answer & Explanation Answer: C) 20

Explanation:

We know that

$40 % = \frac{40}{100} = \frac{2}{5} \Rightarrow \frac{2}{5} x \frac{24}{4} x ? = 48 ? = \frac{48 x 5 x 4}{2 x 24} = 20$

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

3 67157

Q:

What should come in place of question mark (?) in the following question?

45% of 400+ √? = 56% of 750 - 40% of 350

A) 10000	B) 1000
C) 10201	D) 9801

Answer & Explanation Answer: A) 10000

Explanation:

45/100×400+√?=56/100 ×750 -40/100 ×350

180 + √? = 420 - 140 180 + √? = 280 √? = 280 - 180 √? = 100 ? = 1002 ? = 10000

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Filed Under: Percentage

1 66740

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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Filed Under: Simplification
Exam Prep: Bank Exams

0 66586

Q:

A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done when at least 2 women are included ?

A) 196	B) 186
C) 190	D) 200

Answer & Explanation Answer: B) 186

Explanation:

When at least 2 women are included.

The committee may consist of 3 women, 2 men : It can be done in $4 C_{3} * 6 C_{2}$ ways

or, 4 women, 1 man : It can be done in $4 C_{4} * 6 C_{1}$ ways

or, 2 women, 3 men : It can be done in $4 C_{2} * 6 C_{3}$ ways.

Total number of ways of forming the committees

= $4 C_{2} * 6 C_{3} + 4 C_{3} * 6 C_{2} + 4 C_{4} * 6 C_{1}$

= 6 x 20 + 4 x 15 + 1x 6

= 120 + 60 + 6 =186

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Filed Under: Permutations and Combinations

88 65920

Quantitative Aptitude - Arithmetic Ability Questions

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