17
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:   C) 130 degrees

Explanation:

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

Angle traced by it in  {\color{Black} \frac{11}{3}} hrs=  {\color{Black} \left ( \frac{360}{12} \times \frac{11}{3}\right )^{o}}={\color{Black}110 ^{o}}

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

Angle traced by it in 40 min. ={\color{Black}\left ( \frac{360}{60} \times 40\right )^{o}}={\color{Black}240^{o}}

 {\color{Black} \therefore } Required angle (240 - 110)º = 130º.

Subject: Clock puzzles
Q:

Answer the following puzzle

Answer

7:05


Explanation: As you move from left to right, the time shown on each watch decreases by 12 minutes, then 24, 36 and 48.

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Subject: Clock puzzles

5 621
Q:

Answer the following puzzle

Answer

6:45


Explanation: As you move from left to right, add 1 to the value of each digit on the watch, and rotate the digits one place to the left.

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Subject: Clock puzzles

9 779
Q:

Answer the following puzzle

Answer

To the 6


Explanation:


Starting with the top left clockface and working clockwise around the others, the sum of the numbers pointed to by the 2 hands starts at 3 and increases by 2 each time.

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Subject: Clock puzzles

4 589
Q:

Answer the following puzzle

Answer

Hour hand points to 8


Explanation:


Starting with the top clockface, and moving clockwise around the others, the minute hand moves forward 15 minutes, while the hour hand moves back 2 hours each time.

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Subject: Clock puzzles

1 552
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.

{\color{Black} \therefore } The Watch gains {\color{Black} \left ( 2+4\frac{4}{5} \right ) } min.  or {\color{Black} \frac{34}{5} }  min.in 170 hrs.

Now,  min.are gained in 170 hrs.

{\color{Black}\therefore }  2 min.are gained in{\color{Black}\left ( 170\times \frac{5}{34}\times 2 \right ) } hrs=50 hrs

{\color{Black} \therefore } 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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Filed Under: Clock puzzles

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