Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

Practice and master this topic with our carefully crafted questions.

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Question 1
How many times do the hands of a clock coincide in a day?

A
20
B
21
C
22
D
24
Correct Answer: Option C

The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).

AM

12:00
1:05
2:11
3:16
4:22
5:27
6:33
7:38
8:44
9:49
10:55

PM

12:00
1:05
2:11
3:16
4:22
5:27
6:33
7:38
8:44
9:49
10:55

The hands overlap about every 65 minutes, not every 60 minutes.

∴ The hands coincide 22 times in a day.

Question 2
How many times are the hands of a clock at right angle in a day?

A
22
B
24
C
44
D
48
Correct Answer: Option C

In 12 hours, they are at right angles 22 times.

∴ In 24 hours, they are at right angles 44 times.

Question 3
How many times in a day, are the hands of a clock in straight line but opposite in direction?

A
20
B
22
C
24
D
48
Correct Answer: Option B

The hands of a clock point in opposite directions (in the same straight line) 11 times in every 12 hours. (Because between 5 and 7 they point in opposite directions at 6 o'clcok only).

So, in a day, the hands point in the opposite directions 22 times.

Question 4
The angle between the minute hand and the hour hand of a clock when the time is 8.30, is:

A
80º
B
75º
C
60º
D
105º
Correct Answer: Option B

Angle traced by hour hand in :

17 hrs = 360 x 17 º = 255.
2 12 2

Angle traced by min. hand in 30 min.

= 360 x 30 º = 180.
60

∴ Required angle = (255 - 180)º = 75º.

Question 5
At what time between 9 and 10 o'clock will the hands of a watch be together?

A
45 min. past 9
B
50 min. past 9
C
49(1/11) min. past 9
D
48(2/11) min. past 9
Correct Answer: Option C

To be together between 9 and 10 o'clock, the minute hand has to gain 45 min. spaces.

55 min. spaces gained in 60 min.

45 min. spaces are gained in:

60 x 45 min or 49 1 min.
55 11

∴ The hands are together at 49 1 min. past 9.
11

Question 6
At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?

A
45 min. past 4
B
40 min. past 4
C
50(4/11) min. past 4
D
54(6/11) min. past 4
Correct Answer: Option D

At 4 o'clock, the hands of the watch are 20 min. spaces apart.

To be in opposite directions, they must be 30 min. spaces apart.

∴ Minute hand will have to gain 50 min. spaces.

55 min. spaces are gained in 60 min.

50 min. spaces are gained in

60 x 50 min. or 54 6 min.
55 11

∴ Required time = 54 6 min. past 4.
11

Question 7
How many times in a day, the hands of a clock are straight?

A
22
B
24
C
44
D
48
Correct Answer: Option C

In 12 hours, the hands coincide or are in opposite direction 22 times.

∴ In 24 hours, the hands coincide or are in opposite direction 44 times a day.

Question 8
At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

A
5(1/11)"
B
12(4/11)"
C
13(4/11)"
D
16(4/11)"
Correct Answer: Option D

At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.

To be coincident, it must gain 15 min. spaces.

55 min. are gained in 60 min.

15 min. are gained in :

60 x 15 min = 16 4 min.
55 11

∴The hands are coincident at 16 4 min. past 3.
11

Question 9
A watch which gains uniformly is 2 minutes low at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When was it correct?

A
2 p.m. on Tuesday
B
2 p.m. on Wednesday
C
3 p.m. on Thursday D.
D
1 p.m. on Friday
Correct Answer: Option B

Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.

∴ The watch gains

2 + 4 4 min. or 34 min. in 170 hrs.
5 5

Now, 34 min. are gained in 170 hrs.
5

∴ 2 min. are gained in :

170 x 5 x 2 hrs = 50 hrs.
34

∴ Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e., it will be correct at 2 p.m. on Wednesday.

Question 10
An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?

A
144º
B
150º
C
168º
D
180º
Correct Answer: Option D

Angle traced by the hour hand in 6 hours

= 360 x 6 º = 180º.
12

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