type 3 faulty clock Practice Questions Answers Test with Solutions & More Shortcuts

Question : 6

Imagine that your watch was correct at noon, but then it began to lose 30 minutes each hour. It now shows 4 p.m. but it stopped 5 hours ago. What is the correct time now?

a) 9:30 p.m.

b) 11 p.m.

c) 1 a.m.

d) 1.30 a.m.

Answer: (c)

The watch loses 1/2 hour each hour.

So, it must have taken 8 hours to show 4 p.m. from 12 noon.

Thus, it stopped at 8 p.m. So, the correct time is 5 hours ahead of 8 p.m., i.e., 1 a.m.

Question : 7

A watch goes fast by 15 minutes compared to the right time everyday. If it is corrected and set to the standard time at 120' clock at noon, which of the following will be the time shown by it at 4:00 a.m. in the morning?

a) 3:45 a.m.

b) 4:10 a.m.

c) 4:15 a.m.

d) 4:30 a.m.

Answer: (b)

Duration from 12 noon to 4:00 a.m. = 16 hours.

Time gained in 24 hours = 15 min.

Time gained in 16 hours = (5/24 × 16) min = 10 min.

Question : 8 [M.A.T. 2004]

A watch is 1 minute slow at 1 p.m. on Tuesday and 2 minutes fast at 1 p.m. on Thursday. When did it show the correct time?

a) 1.00 a.m. on Wednesday

b) 5.00 a.m. on Wednesday

c) 1.00 p.m. on Wednesday

d) 5.00 p.m. on Wednesday

Answer: (b)

Time from 1 p.m. on Tuesday to 1 p.m. on Thursday = 48 hours.

So, the watch gains (1 + 2) min or 3 min in 48 hrs.

Now, 3 min are gained in 48 hrs. So, 1 min is gained in (48/3) = 16 hrs.

Question : 9

A mechanical grandfather clock is at present showing 7 hr 40 min 6 sec. Assuming that it loses 4 seconds in every hour, what time will it show after exactly 6 $1/2$ hours?

a) 14 hr 9 min 34 sec

b) 14 hr 9 min 40 sec

c) 14 hr 10 min 6 sec

d) 14 hr 10 min 32 sec

Answer: (b)

Time lost in 6 $1/2$ hours = $(6 1/2 × 4) $sec = 26 sec.

Correct time after 6$ 1/2$ hours = 7 hr 40 min 6 sec + 6 hr 30 min = 14 hr 10 min 6 sec.

Time shown by the clock = 14 hr 10 min 6 sec - 26 sec = 14 hr 9 min 40 sec.

Question : 10 [S.S.C., 2002]

A clock goes slow from midnight by 5 minutes at the end of the first hour, by 10 minutes at the end of the second hour, by 15 minutes at the end of the third hour and so on. What will be the time by this clock after 6 hours?

a) 5.15 a.m.

b) 5.30 a.m.

c) 6 a.m.

d) 6.30 a.m.

Answer: (b)

Time lost I 1 hour = 5 min. Time lost in 6 hours = (5 × 6) min = 30 min.

After 6 hours, the correct time will be 6 a.m. and the clock will show 5.30 a.m.

IMPORTANT verbal reasoning EXERCISES

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