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A Learning Portal from Recruitment India

In every 30 minutes the time of a watch increases by 3 minutes. After showing the correct time at 5 am , what time will the watch show after 6 hours ?

A.

10 : 54 am

B.

11 : 36 am

C.

11 : 42 am

D.

11 : 38 pm

Answer with explanation

Answer: Option BExplanation

Time gained in 1 hour = 6 minutes

Time gained in 6 hours = (6 × 6) minutes = 36 minutes

After 6 hours, the correct time is 11 : 00 am and the watch will show 11 : 36 am.

Workspace

A watch gains 5 seconds in 3 minutes and was set right at 8 AM. What time will it show at 10 PM on the same day ?

A.

10 : 27 : 41 AM

B.

8 : 51 : 04 AM

C.

9 : 45 : 15 PM

D.

10 : 23 : 20 PM

Answer with explanation

Answer: Option DExplanation

The watch gains 5 seconds in 3 minutes = 100 seconds in 1 hour.

From 8 AM to 10 PM on the same day, time passed is 14 hours.

In 14 hours, the watch would have gained 1400 seconds or 23 minutes 20 seconds.

So, when the correct time is 10 PM, the watch would show 10 : 23 : 20 PM

Workspace

A watch which gains uniformly is 6 min slow at 5 p.m. on Monday. On the following Monday at 9 am, it was 10 min 40 seconds fast. When was it correct?

A.

8 : 36 pm. on Thursday

B.

2 : 36 am on Thursday

C.

2 : 36 pm. on Thursday

D.

8 : 36 am on Thursday

Answer with explanation

Answer: Option BExplanation

The clock has totally gained 16 minutes and 40 sec. i.e. 1000 seconds in 160 hrs. In order to show the right time, the clock has to gain only 6 min i.e. 360 seconds. Just apply the chain rule, the clock gained 1000 sec in 160 hrs, it will gain 360 sec. In 360 × 160/1000 = 288/5 hrs i.e. 57 3/5. Adding 57 hrs & 36 minutes in Monday 5 p.m. you get 2:36 a.m. on Thursday.

Workspace

A clock is set right at 10 a.m. on Monday. The clock loses 15 min. in 24 hrs. What will be the true time when the clock indicates 4 am on the following Saturday?

A.

5:12 am

B.

5:32 am

C.

6:32 am

D.

5:48 am

Answer with explanation

Answer: Option AExplanation

From 10 am on 1st day to 4 am on 5th day is total 114 hours. When a clock loses 15 min, then 23 hours 45 min of this clock are the same as 24 hours of correct clock i.e. 95/4 hours of this clock = 24 hours of correct clock. 95/4 hours of this clock =((24×4/95)×114) hours of correct clock = 115.2 hours of correct clock which is equal to 115 hours 12 minThe correct time is 5:12 am.

Workspace

At what time between 2 and 3 o’clock will the hands of a clock be together?

A.

(9 + 10/11) min past 2

B.

(10 + 10/11) min past 2

C.

(11 + 10/11) min past 2

D.

(12 + 10/11) min past 2

Answer with explanation

Answer: Option AExplanation

At 2 o’clock, the hour hand is at 2 and the minute hand is at 12, i.e. they are 10 min spaces apart.

To be together, the minute hand must gain 10 minutes over the hour hand.

Now, 55 minutes are gained by it in 60 min.

10 minutes will be gained in (60/55)*10min=10(10/11)min

The hands will coincide at 10(10/11) min. past 2.

Workspace

Imagine that your watch was correct at noon, but then it began to lose 30 minutes each hour. It now show 4 pm but it stopped 5 hours ago. What is the correct time now = ?

A.

9 : 30 pm

B.

11 pm

C.

1 am

D.

1 : 30 am

Answer with explanation

Answer: Option CExplanation

The watch loses (1/2) hour each hour. So, it must have take 8 hours to show 4 pm from 12 noon.

Thus, it stopped at 8 pm.

So, the correct time is 5 hours ahead of 8 pm, i,e., 1 am.

Workspace

There are two clocks, both set to show 10 pm on 21^{st} January 2010. One clock gains 2 minutes in an hour and the other clock loses 5 minutes in an hour. Then by how many minutes do the two clocks differ at 4 pm on 22^{nd} January 2010 ?

A.

126 minutes

B.

136 minutes

C.

96 minutes

D.

106 minutes

Answer with explanation

Answer: Option AExplanation

One clock show 10 pm, on 21^{st} January 2010

One clock gains = 2 minutes

Other clock loses = 5 minutes

Time period between 10 pm and 4 pm = 18 hours

∴ Required difference

= (2 × 18 + 5 × 18 ) minutes

= 126 minutes

Workspace

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

Answer with explanation

Answer: Option BExplanation

Workspace

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

A.

155 Degree

B.

145 Degree

C.

175 Degree

D.

165 Degree

Answer with explanation

Answer: Option AExplanation

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

Angle traced by hour hand in 5 hrs 10 min = 31/6 hrs = (360/12) x (31/6) = 155 Degree

Workspace

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

A.

20

B.

22

C.

32

D.

40

Answer with explanation

Answer: Option BExplanation

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.

Workspace

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