At what time between 5 and 6 o'clock are the hands of a clock 3minapart?

Question

At what time between 5 and 6 o'clock are the hands of a clock 3minapart?

A. at 344/11 min. past 5.

B. at 346/11 min. past 5.

C. at 348/11 min. past 5.

D. at 349/11 min. past 5.

At 5 o'clock, the minute hand is 25 min. spaces behind the hour hand.

Case I. Minute hand is 3 min. spaces behind the hour hand.

In this case, the minute hand has to gain' (25 - 3) = 22 minute spaces. 55 min. are gained in 60 min.

22 min. are gained in (60*22)/55min. = 24 min.

:. The hands will be 3 min. apart at 24 min. past 5.

Case II. Minute hand is 3 min. spaces ahead of the hour hand.

In this case, the minute hand has to gain (25 + 3) = 28 minute spaces. 55 min. are gained in 60 min.

28 min. are gained in (60 x 28_)/55=346/11

The hands will be 3 min. apart at 346/11 min. past 5.

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

A. 123/11 min. past 2.

B. 120/11 min. past 2.

C. 120/10 min. past 2.

D. 127/11 min. past 2.

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Find at what time between 8 and 9 o'clock will the hands of a clock being the same straight line but not together.

A. at 120/11 min.

B. at 122/11 min.

C. at 127/11 min.

D. at 130/11 min.

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A watch which gains uniformly, is 6 min. slow at 8 o'clock in the morning Sunday and it is 6 min. 48 sec. fast at 8 p.m. on following Sunday. When was it correct?

A. at 20 min. past 7 p.m. on Wednesday.

B. at 35 min. past 7 p.m. on Wednesday.

C. at 50 min. past 7 p.m. on Wednesday.

D. at 24 min. past 7 p.m. on Wednesday.

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At what time between 4 and 5 o'clock will the hands of a clock be at right angle?

A. at 32/11 min. past 4.

B. at 32/11 min. past 4.

C. at 35/11 min. past 4.

D. at 40/11 min. past 4.

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A clock is set right at 6 a.m. The clock loses 16 minutes in 24 hours. What will be the true time when the clock indicates 10 p.m. on 4th day?

A. 10 p.m.

B. 11 p.m.

C. 911 p.m.

D. 12 p.m.

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At what time between 5 and 6 o'clock are the hands of a clock 3minapart?

A. at 344/11 min. past 5.

B. at 346/11 min. past 5.

C. at 348/11 min. past 5.

D. at 349/11 min. past 5.

Discuss this answer

Find the angle between the hour hand and the minute hand of a clock when 3.25.

A. 47*1/2°

B. 48*1/2°

C. 49*1/2°

D. 50*1/2°

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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. 38 min. past 12.

B. 40 min. past 12.

C. 48 min. past 12.

D. 50 min. past 12.

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Accepted Answer

B. at 346/11 min. past 5.

At what time between 5 and 6 o'clock are the hands of a clock 3minapart?

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