type 4 time gained or lost by clock Detailed Explanation And More Example
MOST IMPORTANT verbal reasoning - 5 EXERCISES
The following question based on clocks topic of verbal reasoning
(a) 24 minutes past 5
(b) 12 minutes past 5
(c) 36 minutes past 5
(d) 48 minutes past 5
The correct answers to the above question in:
Answer: (a)
Since the time read by the lady was 57 minutes earlier than the correct time,
so the minute hand is (60 - 57) = 3 minute spaces behind the hour hand.
Now, at 5 O' clock, the minute hand is 25 minute spaces behind the hour hand.
To be 3 minute spaces behind, it must gain (25 - 3) = 22 minute spaces.
55 min spaces are gained in 60 min.
22 min spaces are gained in $(60/55 × 22) = 24 min$
Hence, the correct time was 24 minutes past 5.
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Read more gain or loss of clock timing Based Verbal Reasoning Questions and Answers
Question : 1
A watch which gains 5 seconds in 3 minutes was set right at 7 a.m. In the afternoon of the same day, When the watch indicated quarter past 4 O' clock, the true time is
a) 59 $7/12$ min. past 3
b) 2 $3/11$ min. past 4
c) 58 $7/11$ min. past 3
d) 4 p.m.
Answer »Answer: (d)
Time from 7 a.m. to 4.15 p.m. = 9 hrs 15 min = $37/4$ hrs 3 min 5 sec of this clock = 3 min. of the correct clock.
= $37/720$ hrs of this clock = $1/20$ hrs of the correct clock
= $37/4$ hrs of this clock
= $(1/20 × 720/37 × 37/4)$ hrs of the correct clock
= 9 hrs of the correct clock
Therefore, The correct time is 9 hrs after 7 a.m., i.e. 4 p.m.
Question : 2
The minute hand of a clock overtakes the hour hand at intervals of 50 min of the correct time. How much does a clock gain or lose in a day?
a) 443 $28/55$ min (gain)
b) 433 $28/55$ min (loss)
c) 445 $5/55$ min (gain)
d) 444 $28/55$ min (loss)
Answer »Answer: (c)
Required result = $(720/11 - x) (60 × 24 /x) min$
Here, x = 50 Therefore, required result = $(720/11 - 50) (60 × 24/50) min$
= $(170/11 × 144/5) min$
= 445 $5/55$ min gain (gain as sign is positive)
Question : 3
The minute hand of a clock overtakes the hour hand at intervals of 88 min of the correct time. How much does a clock gain or lose in a day?
a) 368 $112/121$ min (loss)
b) 369 $112/121$ min (loss)
c) 368 $112/121$ min (gain)
d) 369 $112/121$ min (gain)
Answer »Answer: (a)
Required result = $(720/11 - x) (60×24 /x) min$
Here, x = 88
Therefore, required result =$ (720/11 - 88) (60×24 /88) min$
= $-248/11 × 180/11 min = -368 112/121 min$ (loss as sign in negative)
Question : 4
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) 1 p.m. on Friday
c) 3 p.m. on Thursday
d) 2 p.m. on Wednesday
Answer »Answer: (d)
Time from 12 p.m. on Monday to 2 p.m.
on the following Monday = 7 days 2 hours = 170 hours.
Therefore, the watch gains $(2 + 4 4/5) min. or 34/5 min.$ in 170 hrs.
now, 34/5 min. are gained in 170 hrs.
2 min. are gained in $(170 × 5/34 × 2) hrs = 50 hrs.$
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
Question : 5
The minute hand of a clock overtakes the hour hand at intervals of 63 min of the correct time. How much does a clock gain or loses in a day?
a) 54 $8/77$ min (gain)
b) 56 $8/77$ min (gain)
c) 53 $8/99$ min (loss)
d) 54 $8/77$ min (gain)
Answer »Answer: (b)
Method I
As we know that in a correct clock, the minute hand gains 55 min spaces over the hour hand in 60 min.
To be together again, the minute hand must gain 60 min over the hour hand.
60 min are gained in $(60/55 × 60) min = 65 5/11 min$
But they are together after 63 min.
Therefore, gain in 63 min =$ (65 5/11 - 63) = 2 5/11 min = 27/11 min$
Gain in 24 h = $(27/11 × 60 × 24/63) min = 4320/77 min = 56 8/77 min$
As result is positive, therefore clock gains 56 $8/77$ min.
Method II
In the given question, x = 63 min
According to the formula,
Required result = $(720/11 - x) (60 × 24 /x) min = (720/11 - 63) (60 × 24 /63 ) min$
= $27/11 × 60 × 8 /21 = 56 8/77 $min (gain as sign in positive)
Question : 6
The minute hand of a clock overtakes the hour hand at intervals of 62 min of the correct time. How much does a clock gain or lose in a day?
a) 81 $80/341$ min (loss)
b) 81 $80/341$ min (gain)
c) 80 $80/341$ min (loss)
d) 80 $80/341$ min (gain)
Answer »Answer: (d)
Required result =$ (720/11 - x) (60 × 24 /x)$ min Here, x = 62
Therefore, required result = $(720/11 - 62) (60 × 24 /62)$ min
= $38/11 × 720/31 $min = 80 $80/341$ min gain (gain as sign is positive)
GET clocks PRACTICE TEST EXERCISES
type 1 angle between the hands of clock
type 2 position of hands of the clock
type 3 faulty clock
type 4 time gained or lost by clock
type 5 comparing clocks
clocks Shortcuts and Techniques with Examples
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