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 11
A clock is started at noon. By 10 minutes past 5, the hour hand has turned through:

A
145º
B
150º
C
155º
D
160º
Correct Answer: Option C

Angle traced by hour hand in 12 hrs = 360º.

Angle traced by hour hand in 5 hrs 10 min.

i.e., 31 hrs = 360 x 31 º = 155º.
6 12 6

Question 12
How much does a watch lose per day, if its hands coincide every 64 minutes?

A
32(8/11) min.
B
36(5/11) min.
C
90 min.
D
96 min.
Correct Answer: Option A

55 min. spaces are covered in 60 min.

60 min. spaces are covered in :

60 x 60 min. = 65 5 min.
55 11

Loss in 64 min:

= 65 5 - 64 = 16 min.
11 11

Loss in 24 hrs:

= 16 x 1 x 24 x 60 min. = 32 8 min.
11 64 11

Question 13
The reflex angle between the hands of a clock at 10.25 is:

A
180º
B
192(1º/2)
C
195º
D
197(1º/2)
Correct Answer: Option D

Angle traced by hour hand in :

125 hrs = 360 x 125 º = 312 1 º .
12 12 12 2

Angle traced by minute hand in 25 min

= 360 x 25 º = 150º.
60

∴ Reflex angle

= 360º - 312 1 - 150 º = 360º - 162 1 º = 197 1 .
2 2 2

Question 14
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, when the watch indicated quarter past 4 o'clock, the true time is:

A
59(7/12) min. past 3
B
4 p.m.
C
58(7/11) min. past 3
D
2(3/11) min. past 4
Correct Answer: Option B

Time from 7 a.m. to 4.15 p.m.

= 9 hrs 15 min. = 37 hrs.
4

3 min. 5 sec. of this clock = 3 min. of the correct clock.

⇒ 37 hrs of this clock = 1 hrs.
720 20

⇒ 37 hrs of this clock = 1 x 720 x 37 .
4 20 37 4

      = 9 hrs of the correct clock.

∴ The correct time is 9 hrs after 7 a.m. i.e., 4 p.m.

Question 15
The angle between the minute hand and the hour hand of a clock when the time is 4.20, is:

A
0º
B
10º
C
5º
D
20º
Correct Answer: Option B

Angle traced by hour hand in:

13 hrs = 360 x 13 º = 130º.
3 12 3

Angle traced by min. hand in 20 min.

= 360 x 20 º = 120º.
60

∴ Required angle = (130 - 120)º = 10º.

Question 16
At 3:40, the hour hand and the minute hand of a clock form an angle of:

A
120°
B
125°
C
130°
D
135°
Correct Answer: Option C

Angle traced by hour hand in 12 hrs. = 360°.

Angle traced by it in :

11 hrs = 360 x 11 ° = 110°.
3 12 3

Angle traced by minute hand in 60 min. = 360°.

Angle traced by it in 40 min.

= 360 x 40 ° = 240°.
60

∴ Required angle (240 - 110)° = 130°.

Question 17
At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?

A
5 min. past 7
B
5(2/11) min. past 7
C
5(3/11) min. past 7
D
5(5/11) min. past 7
Correct Answer: Option D

When the hands of the clock are in the same straight line but not together, they are 30 minute spaces apart.

At 7 o'clock, they are 25 min. spaces apart.

∴ Minute hand will have to gain only 5 min. spaces.

55 min. spaces are gained in 60 min.

5 min. spaces are gained in :

60 x 5 min = 5 5 min.
55 11

∴ Required time = 5 5 min. past 7.
11

Question 18
At what angle the hands of a clock are inclined at 15 minutes past 5?

A
58(1º/2)
B
64º
C
67(1º/2)
D
72(1º/2)
Correct Answer: Option C

Angle traced by hour hand in:

21 hrs = 360 x 21 º = 157 1 º
4 12 4 2

Angle traced by min. hand in 15 min.

= 360 x 15 º = 90º.
60

∴ Required angle

= 157 1 º - 90º = 67 1 º
2 2

Question 19
At what time between 5.30 and 6 will the hands of a clock be at right angles?

A
43(5/11) min. past 5
B
43(7/11) min. past 5
C
40 min. past 5
D
45 min. past 5
Correct Answer: Option B

At 5 o'clock, the hands are 25 min. spaces apart.

To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.

55 min. spaces are gained in 60 min.

40 min. spaces are gained in :

60 x 40 min = 43 7 min.
55 11

∴ Required time = 43 7 min. past 5.
11

Question 20
A clock is set right at 8 a.m. The clock gains 10 minutes in 24 hours will be the true time when the clock indicates 1 p.m. on the following day?

A
48 min. past 12
B
46 min. past 12
C
45 min. past 12
D
47 min. past 12
Correct Answer: Option A

Time from 8 a.m. on a day to 1 p.m. on the following day = 29 hours. 

24 hours 10 min. of this clock = 24 hours of the correct clock. 

145 hrs of this clock  
6

=24 hours of the correct clock.

29 hours of this clock

= 24 x 6 x 29 hours of the correct clock.
145

= 28 hrs 48 min of the correct clock.

Therefore, the correct time is 28 hrs 48 min. after 8 a.m. 

This is 48 min. past 12.

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