Problems on Clocks - Handout Part 2

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Problems on Clocks – Part-2

1.         Three cuckoo clocks are such that the cuckoos chime after every 12 minutes, 15 minutes, and 18 minutes, respectively. If the 3 clocks chime simultaneously at 3 p.m., at what time will they chime together again?

a) 6 p.m                     b) 7 :15 p.m

c) 8 p.m                     d) 11.00 p.m

2.         A watch gains time from noon by 6 minutes at the end of the first hour, by 12 minutes at the end of the second hour, by 18 minutes at the end of the third hour, and so on. What will be the time in this watch after 8 hours?

a) 7:38 a.m                 b) 8:48 a.m

c) 9:24 a.m                 d) 10:24 a/m

3.         A clock gains uniformly. It is observed that it is 5 minutes slow at 11 a.m on Saturday. It is again observed that it is 10 minutes fast at 5 p.m the next day. When did it show the correct time?

a) 8p.m on the same day

b) 9p.m on the same day

c) 10.30p.m on the same day

d) 11p.m on the same day

4.         My watch was 3 minutes slow at 5 p.m. on Tuesday, and it was 5 minutes fast at 11 p.m. on Wednesday.  When did it give the correct time?

a) Wednesday at 4.15 a.m.

b) Wednesday at 7.30 a.m.

c) Tuesday at 3.45 p.m.

d) None

5.         If the hands of a clock coincide every 65 minutes, in 24 hours, the clock will gain

a) 10 10/143 minutes  

b) 9  12/143 minutes.

c) 11 12/143 minutes.

d) 12 10/143 minutes

6.         6) The minute hand of a clock overtakes the hour hand at intervals of 66 minutes of correct time. Approximately How much time does the clock lose or gain in a day?

a) 10 min                    b) 12 min

c) 15 min                    d) 20 min

7.         Two clocks C1 and C2 are set right at 11 am on a certain day. Thereon clock C1 loses 5 minutes every hour, and clock C2 gains 4 minutes every hour. What is the right time when the difference between the time indicated by the two clocks is 3 hours?

a) 5 a.m next day       b) 7 a.m next day

c) 9 p.m same day     d) 5 a.m on the third day

8.         A clock is set correctly at 4 a.m. It moves slowly by 10 minutes compared to the correct time in 24 hours. What will be the time on the clock when the actual time is 4 p.m. the next day?

a) 3:45 p.m next day

b) 4:15 p.m next day

c) 5 p.m the next day

d) 3:10 p.m the next day

9.         A clock is set right at 6 a.m. The clock gains 10 min in 24 hours. What will be the correct time when the clock indicates 11 a .m on the following day?

a) 10:48 a.m               b) 9:30 a.m

c) 11:12 a.m               d) 10:36a.m

10.      A clock loses 2% time during the first ten days and then gains 4 % time during the next ten days and again loses 1% time during the next ten days. If the clock was set right at noon on Tuesday, at what time exactly the clock will show 30 days from the time it was set correct?

a) 2: 24 p.m               b) 03:40 p.m

c) 4:30:48 a.m            d) None of these

11.      How many palindromes are there in a clock from noon to midnight (For Example, 6.06 is a palindrome)?

a) 42                          b) 51

c) 53                          d) 57

12.      In a clock, the length of the longer hand is 8 cm, and the shorter hand is 7 cm. If the clock runs for 4 days, find the total distance covered by both the hands

a) 1824π cm               b) 1648π cm

c) 1724π cm               d) 2028 π cm

13.      The length of the minute hand of a clock is 5.4 cm. What is the area covered by this in 10 minutes?

a) 14 cm2                   b) 17.57cm2

c) 16.12 cm2               d) 15.27 cm2

 

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