Clock - Arithmetic Aptitude Questions and Answers

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

A.

80°

B.

75°

C.

60°

D.

105°

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Answer : Option B

Explanation :

Angle traced by hour hand in $\frac { 17 } { 2 }$ hrs=[ $\frac { 360 } { 12 }$ x $\frac { 17 } { 2 }]^0$ = 255°

Angle traced by min. hand in 30 min. =[ $\frac { 360 } { 60}$ x $30]^o$ == 180°.

Required angle = (255 - 180)° = 75°.

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

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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 $\frac {4 } {11 }$ min. past 4

D.

54 $\frac {6 } {11 }$ min. past 4

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Answer : Option D

Explanation :

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[ $\frac { 60 } {55 }$ x50]min. or 54 $\frac {6 } {11 }$ min

Required time = 54 $\frac {6 } {11 }$ min. past 4

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

A.

5 $\frac { 1^o } { 11 }$

B.

12 $\frac { 4^o } { 11 }$

C.

13 $\frac { 4^o } { 11 }$

D.

16 $\frac { 4^o } { 11 }$

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Answer : Option D

Explanation :

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[ $\frac { 60 } { 55 }$ x15]min=16 $\frac { 4 } { 11 }$ min

The hands are coincident at16 $\frac { 4 } { 11 }$ min. past 3.

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

A.

20

B.

21

C.

22

D.

24

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

A.

22

B.

24

C.

44

D.

48

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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.

1 p.m. on Friday

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