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Clocks

Important Instructions
11.

When the time in the clock is 7.20 pm, then the angle between the hands of the clock is

Answer: D

At 7 o’ clock, the hour hand is at 210 degrees from the vertical.
In 20 minutes,
Hour hand = 210 + 20 x (0.5) = 220 (The hour hand moves at 0.5 dpm)
Minute hand = 20 x (6) = 120 (The minute hand moves at 6 dpm)
Difference or angle between the hands = 220 - 120 = 100 degree

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12.

The edge between the moment hand and the hour hand of a clock when the time is 4.20, is:

Answer: B

Angle followed by hour hand in 13/3 hrs. =(360/12*13/3)°= 130°
Point followed by min. hand in 20 min. = (360/60*20)°= 120°
∴ Required point = (130-120)°= 10°

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13.

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

Answer: A

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 must gain only 5 min. space.
55 min. spaces are gained in 60 min.
5 min. spaces would be gained in (60/55) x 5 = 5 (5/11) min
Required time = 5 (5/11) min past 7

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14.

If the minute hand of a clock has moved 300º, how many degrees has the hour hand moved?

Answer: A

The speed of hour hand is 0.5 dpm (Degree per Minute)
And the speed of minute hand is 6 dpm.
So, 300 degree traverse by minute hand in 300/6 = 50 Minutes.
Thus, angle moved by the hour hand in 50 minutes is 50/0.5 = 25° degrees.

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15.

What is the angle between the hour and minute hand at 3:40?

Answer: B

No answer description available for this question.

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16.

Ramesh sets his grandfather’s clock to the right time at 2.00 am on Thursday. But he didn’t know that the clock gains 20s for every 3 hours. What will the clock indicate on Friday night 6.30 pm?

Answer: D

No answer description available for this question.

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17.

The minute hand and hour hand of a clock meet every 62 minutes. Does the clock gain or lose in 24 hours. And how much does it lose or gain?

Answer: C

No answer description available for this question.

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18.

A clock is set right at 5 am the clock loses 16 min in 24 hours. What will be the right time when the clock indicates on 3 pm the 8th day?

Answer: B

Time from 5 am On a day to 3 pm on 8th day = 178 hours
Now 23 hrs 44 min. of this clock = 24 hours of correct clock
365/15 hrs of this clock = 24 hours of correct clock
178 hrs of this clock = (24 × 15/356 × 89) hrs of correct clock
= 180 hrs of correct clock.
So, the correct time is 5 pm.

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19.

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

Answer: 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.

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20.

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

Answer: B

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).

The hands overlap about every 65 minutes, not every 60 minutes.
Therefore, The hands coincide 22 times in a day.

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