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1. An accurate clock shows 8 o’clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o’clock in the afternoon ?

A. 154°

B. 180°

C. 170°

D. 160°

**Answer : ****180°**

The Angle traced by hour hand in 12 hrs = 360°

So, The Angle traced by hour hand in 1 hr = 30°

Between 8 o’clock and 2 o’clock we have 6 hours.

So, the required degrees = 6 x 30° = 180°

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

A. 22

B. 44

C. 48

D. 24

**Answer : ****44**

Aptibook requests to have a deep look on the question.

The hands are straight means, there will be two possibilities.

1) When they overlap & facing the same direction

2) When they overlap & facing the opposite direction

----------------------------

For the first possibility,

Every 12 hours, the hands will overlap 11 times facing same direction.(We are omitting one case which is 6 o clock, since at that moment the hands will be in opposite direction).

So, for 24 hours, the hands will overlap and face the same direction 22 times.

---------------------------

For the second possibility,

Every 12 hours, the hands will overlap 11 times facing opposite direction.(We are omitting one case which is 12 o clock, since at that moment the hands will be in same direction).

So, for 24 hours, the hands will overlap and face the opposite direction 22 times.

Finally, we have a total count of 44 times.

3. How many times are the hands of a clock at right angle in a day ?

A. 42

B. 44

C. 46

D. 48

**Answer : ****44**

In 12 hours, the hands of a clock are at right angles at 22 times.

Every hour two times they form right angles.

However, between 11 and 12 & between 12 and 1 they can form right angle only once respectively.

This is because 12 o clock forces the angle to be less than 90°.

So, in a day the hands will make 44 right angles.

4. Two clocks are set correctly at 10 a.m. on Friday. The first clock gains 2 minutes per hour, which is twice as much as gain by the second. What time will the second clock register when the correct time is 2 p.m. the following Monday?

A. 2 : 42 pm

B. 3 : 16 pm

C. 3 : 24 pm

D. 3 : 32 pm

**Answer : ****3 : 16 pm**

The time from 10 a.m. Friday to 2 p.m. the following Monday is 76 hrs.

The first clock gains 2 min. per hour.

Therefore, Gain in 76 hours = 152 min. = 2 Hours 32 minutes

Time shown by first clock will be 4 : 32 pm.

Other clock gains 76 min. = one hour 16 min. (Since first clock is twice as much as gain by the second)

It will show 3 : 16 pm.

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

A. 145º

B. 150º

C. 155º

D. 160º

**Answer : ****155º**

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

Therefore, Angle traced by hour hand in 1 hr = 360º/12 = 30º

Angle traced by hour hand in 5 hrs 10 min = Angle traced by hour hand in 5 hrs + Angle traced by hour hand in 10 min

= 5 x 30º + (1/6) 30º

= 150º + 5º

= 155º

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