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1) At what time, in minutes, between 9 o'clock and 10 o'clock, both the needles will coincide each other?A) 45 min past 9 B) 500/11 min past 9 C) 520/11 min past 9 D) 540/11 min past 9
Answer & Explanation
Answer: 540/11 min past 9 (At 9 o'clock, the minute hand is 45 min. spaces apart from the hour hand.
To be coincident, it must gain 45 min. spaces.
55 min. are gained in 60 min.
45 min. are gained in 60/55 x 45 min = 540/11 min.
The hands are coincident at 540/11 min. past 9.)
2) At what time between 4 and 5 o'clock will the hands of a watch point in opposite directions?A) 54 5/11 min. past 4. B) 54 3/11 min. past 4. C) 54 6/11 min. past 4. D) 54 2/11 min. past 4.
Answer & Explanation
Answer: 54 6/11 min. past 4. (At 4 o'clock, the hands of the watch are 20 min. spaces apart.
To be in opposite directions, they must be 30 min. spaces apart.
Minute hand will have to gain 50 min. spaces.
55 min. spaces are gained in 60 min.
50 min. spaces are gained in 60/55 x 50 min. or 54 6/11 min.
Required time = 54 6/11 min. past 4.
)
3) How many times do the hands of a clock coincide in a day?A) 22 times B) 23 times C) 20 times D) 24 times
Answer & Explanation
Answer: 22 times (The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock)
.
Therefore in a day , It coincides 22 times)
4) How many times in a day, the hands of a clock are straight?A) 40 times B) 22 times C) 44 times D) 20 times
Answer & Explanation
Answer: 44 times (In 12 hours, the hands coincide or are in opposite direction 22 times.
In 24 hours, the hands coincide or are in opposite direction 44 times a day.)
5) A watch which gains uniformly is 2 minutes slow at noon on Monday and is 4 min. 48 sec fast at 2 p.m. on the following Monday. When will it be correct after that?A) 5 pm B) 2 pm C) 3 pm D) 4 pm
Answer & Explanation
Answer: 2 pm (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 + 24/5 min. or 34 min. in 170 hrs.
Now, 34/5 min. are gained in 170 hrs.
2 min. are gained in 170 x 5/34 x 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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