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

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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.

At 4 o'clock, the minute hand will be 20 min. spaces behind the hour hand, Now, when the two hands are at right angles, they are 15 min. spaces apart. So, they are at right angles in following two cases.
Case I. When minute hand is 15 min. spaces behind the hour hand:In this case min. hand will have to gain (20 - 15) = 5 minute spaces. 55 min. spaces are gained by it in 60 min.

5 min spaces will be gained by it in 60*5/55 min=60/11min.

:. They are at right angles at 60/11min. past 4.

Case II. When the minute hand is 15 min. spaces ahead of the hour hand:

To be in this position, the minute hand will have to gain (20 + 15) = 35 minute spa' 55 min. spaces are gained in 60 min.

35 min spaces are gained in (60 x 35)/55 min =40/11

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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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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.

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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 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.

Discuss this answer

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.

Discuss this answer

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 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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Accepted Answer

D. at 40/11 min. past 4.

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

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