Calendar & Clock

Ladakh Police Sub-Inspector · Reasoning · 34 practice questions with answers and explanations: 14 Easy, 18 Medium, 2 Hard.

Sample questions

Sample Easy question 1

How many degrees does the minute hand of a clock move in 20 minutes?

  1. 110°
  2. 120°
  3. 130°
  4. 100°
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Answer: B. The minute hand moves 6° per minute; 20 × 6° = 120°.

Sample Easy question 2

A clock loses 15 minutes every 24 hours. How many minutes will it lose in a week?

  1. 100 min
  2. 110 min
  3. 105 min
  4. 90 min
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Answer: C. 15 minutes/day × 7 days = 105 minutes.

Sample Easy question 3

If a month starts on a Friday, what day of the week is the 15th of that month?

  1. Saturday
  2. Sunday
  3. Thursday
  4. Friday
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Answer: D. 14 days after the 1st is exactly 2 weeks later, so the 15th falls on the same day: Friday.

Sample Medium question 4

A watch gains 5 minutes every hour. If it was set correctly at 12:00 noon, what will it show at 4:00 pm actual time?

  1. 4:20 pm
  2. 4:30 pm
  3. 4:25 pm
  4. 4:15 pm
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Answer: A. In 4 actual hours, the watch gains 4 × 5 = 20 minutes, so it shows 4:20 pm.

Sample Medium question 5

What is the angle between the hour and minute hands of a clock at 9:00?

  1. 105°
  2. 75°
  3. 60°
  4. 90°
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Answer: D. At 9:00, the hour hand is at 270° and the minute hand at 0°; the smaller angle between them is 90°.

Sample Medium question 6

A clock shows 3:15. Find the angle between the hour and minute hands.

  1. 6.5°
  2. 5°
  3. 9°
  4. 7.5°
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Answer: D. Using |30H - 5.5M| = |30×3 - 5.5×15| = |90 - 82.5| = 7.5°.

Sample Hard question 7

The calendar for the year 2023 is the same as which of the following years, given that 2023 was not a leap year and started on a Sunday? (Assume 2034 also starts on a Sunday and is not a leap year.)

  1. 2032
  2. 2030
  3. 2028
  4. 2034
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Answer: D. Two non-leap years have the same calendar when they start on the same day of the week with no leap year disrupting the day-count in between; here 2034 is given as matching 2023's start day.

Sample Hard question 8

A clock is set right at 8 am and gains 10 minutes every 24 hours. What will be the true time when the clock indicates 8 pm the same day?

  1. 8:05 pm
  2. 7:55 pm
  3. 7:50 pm
  4. 8:00 pm
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Answer: B. 12 hours of clock time corresponds to slightly less true time given the gain, working out to approximately 7:55 pm.

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