BPSC CCE Prelims
Calendar & Clock Previous Year Questions (PYQs)
Practice solved questions for Calendar & Clock with detailed step-by-step solutions, key insights, and trend analysis for BPSC CCE PRELIMS.
Solved Previous Year Questions
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How many times do the hands of a clock coincide in a day?
Detailed Explanation:
Concept: The minute hand moves 12 times faster than the hour hand.
In a 12-hour period, the hands coincide 11 times (at 12:00, ~1:05, ~2:11, ~3:16, ~4:22, ~5:27, ~6:33, ~7:38, ~8:44, ~9:49, ~10:55).
The next coincidence at 12:00 marks the start of the next cycle, so it is not counted twice.
In a 24-hour day (two 12-hour cycles): 11 × 2 = 22 coincidences.
If February 1, 1996, is Wednesday, what day is March 3, 1996?
Detailed Explanation:
1996 is a leap year, so February has 29 days.
From February 1 to March 3: (29 − 1) days in February + 3 days in March = 31 days.
31 days = 4 weeks + 3 days, so Wednesday + 3 days = Saturday.
A clock is set right at 6 a.m. It gains 10 minutes in 24 hours. What will be the right time when the clock indicates 11 a.m. on the next day?
Detailed Explanation:
The clock gains 10 minutes in 24 real hours, so in 24 real hours it shows 24 hours 10 minutes. From 6 a.m. to 11 a.m. next day = 29 hours on the fast clock.
If the clock shows 29 hours, real time elapsed = 29 ÷ (24 + 10/60) = 29 ÷ (1450/60) = (29 × 60)/1450 × 24 = 28 hours 48 minutes. Adding this to 6 a.m. gives 10:48 a.m.
Therefore, the correct time is 48 minutes past 10, making Option 1 the correct answer.
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At what time between 5 and 6 will the two hands of a watch coincide?
Detailed Explanation:
The hour and minute hands of a clock coincide when the angle between them is 0°. At 5 o'clock, the hour hand is at 150° (30° × 5). The minute hand moves at 6° per minute, while the hour hand moves at 0.5° per minute, creating a relative speed of 5.5° per minute.
To close the 150° gap: M = 150 ÷ 5.5 = 300/11 = 27³⁄₁₁ minutes. This can also be derived using the standard formula for hand coincidence: M = (60H)/11, where H = 5.
Therefore, the hands coincide at 27³⁄₁₁ minutes past 5, making Option 2 the correct answer.
A clock is set right at 8 amThe clock gains 10 minutes in 24 hours. What will be the true time when the clock indicates 1 p.m. on the following day?
Detailed Explanation:
The clock gains 10 minutes in 24 hours, meaning it shows 24 hours 10 minutes when the true time is 24 hours. From 8 a.m. to 1 p.m. next day, the elapsed time shown on the clock is 29 hours.
Using proportion: 24 hours 10 minutes (1450 minutes) on clock = 24 hours (1440 minutes) true time. Therefore, 29 hours (1740 minutes) on clock = (1740 × 1440) ÷ 1450 = 1728 minutes true time = 28 hours 48 minutes.
Therefore, true time = 8 a.m. + 28 hours 48 minutes = 12:48 p.m. (48 minutes past 12 noon), making Option 2 the correct answer.
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Common questions about Calendar & Clock in BPSC CCE PRELIMS