29+ Clock Puzzles With Answers And Explanation

Q:

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

A) 20	B) 22
C) 24	D) 48

Answer & Explanation Answer: B) 22

Explanation:

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.

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Q:

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

A) 145	B) 150
C) 155	D) 160

Answer & Explanation Answer: C) 155

Explanation:

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

Angle traced by hour hand in 5 hrs 10 min. i.e., 31/6 hrs = ${(\frac{360}{12} * \frac{31}{6})}^{°}$ = 155º

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Q:

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 & Explanation Answer: B) 2 p.m. on Wednesday

Explanation:

Time from 12 p.m. on Monday to 2 p.m. on the following Monday = 7 days 2 hours = 170 hours.

The Watch gains $(2 + 4 \frac{4}{5})$ min. or $\frac{34}{5}$ min.in 170 hrs.

Now, $\frac{34}{5}$ min.are gained in 170 hrs.

2 min.are gained in $(170 * \frac{5}{34} * 2)$ hrs=50 hrs

Watch is correct 2 days 2 hrs. after 12 p.m. on Monday i.e., it will be correct at 2 p.m. on Wednesday

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Q:

At 3.40, the hour hand and the minute hand of a clock form an angle of:

A) 120 degrees	B) 125 degrees
C) 130 degrees	D) 135 degrees

Answer & Explanation Answer: C) 130 degrees

Explanation:

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

Angle traced by it in 11/3 hrs= ${(\frac{360}{12} * \frac{11}{3})}^{°}$ = $110^{°}$

Angle traced by minute hand in 60 min. = 360º.

Angle traced by it in 40 min. =(360/60*40) $°^{}$ =240 $°^{}$

Required angle (240 - 110)º = 130º.

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Q:

What is two days after the day after the day before yesterday?

Answer

Tomorrow

The day before yesterday was two days ago; the day after the day before yesterday was yesterday; two days after that (yesterday) is tomorrow.

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Q:

At what time between 2 and 3 O'clock, the hands of a clock coincide ?

A) 1 10/11 minutes past 2	B) 1 10/11 minutes past 3
C) 1 11/10 minutes past 3	D) 11 10/11 minutes past 2

Answer & Explanation Answer: A) 1 10/11 minutes past 2

Explanation:

Since, in one hour, two hands of a clock coincide only once, so, there will be value.
Required time $T = \frac{2}{11} (H \times 30 + A^{o})$ minutes past H.
Here H - initial position of hour hand = 2 (since 2 O'clock)
A° = Required angle = 0° (Since it coincides)

$T = \frac{2}{11} (2 \times 30 + 0^{o})$ minutes past 2

=> $1 \frac{10}{11}$ minutes past 2

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Q:

Calculate the angle between the two hands of clock when the clock shows 4 : 20 p.m. ?

A) 5 degrees	B) 10 degrees
C) 15 degrees	D) 25 degrees

Answer & Explanation Answer: B) 10 degrees

Explanation:

Since at 4 : 20 the minute hand will be at 4 and the angle between them will be same as the distance covered in degree by the hour hand in 20 minutes.

Required angle = distance of hour hand = speed × time = $\frac{1}{2}$ × 20 =10 degrees.

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Q:

Find at what time between 9 and 10 o’clock will the hands of a clock be in 180° ?

A) 180/14 min past 10	B) 180/11 min past 9
C) 148/7 min past 10	D) 154/11 min past 9

Answer & Explanation Answer: B) 180/11 min past 9

Explanation:

At 9 o’clock, the hour hand is at 9 and the minutes hand is at 12, i.e., the two hands are 15 min. spaces apart.
So, the minute hand should gain = (30 - 15) minutes = 15 minutes
55 minutes will be gained in 60 min.
15 minutes spaces will be gained in ((60/55) x 15) min. = 180/11 min.
The hands will be in the same straight line but not together i.e.,in 180 degrees at 180/11 min. past 9.

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