Calendar & Clock

Ladakh Prison Department · Reasoning · 34 practice questions with answers and explanations: 14 Easy, 18 Medium, 2 Hard.

Sample questions

Sample Easy question 1

How many times do the hour and minute hands of a clock coincide (overlap) in a 24-hour day?

  1. 44
  2. 24
  3. 20
  4. 22
Show answer

Answer: D. The hands coincide 22 times in a 24-hour period (11 times in 12 hours, not 12, since the overlap at 12:00 and the next cycle's start coincide).

Sample Easy question 2

How many days are there in a leap year?

  1. 367
  2. 365
  3. 364
  4. 366
Show answer

Answer: D. A leap year has 366 days, with an extra day added to February.

Sample Easy question 3

How many odd days are there in 100 years?

  1. 1
  2. 6
  3. 3
  4. 5
Show answer

Answer: D. 100 years contain 24 leap years (100 is not divisible by 400, so century year doesn't count as leap for this rule) and 76 ordinary years, giving 100×1 + 24 extra = 124 odd days; 124 mod 7 = 5 odd days.

Sample Medium question 4

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

  1. 105°
  2. 75°
  3. 60°
  4. 90°
Show answer

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 5

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

  1. 6.5°
  2. 5°
  3. 9°
  4. 7.5°
Show answer

Answer: D. Using |30H - 5.5M| = |30×3 - 5.5×15| = |90 - 82.5| = 7.5°.

Sample Medium question 6

Find the angle between the hour and minute hands of a clock at 3:40.

  1. 135°
  2. 125°
  3. 130°
  4. 120°
Show answer

Answer: C. Angle = |30H - 5.5M| = |30(3) - 5.5(40)| = |90 - 220| = 130°.

Sample Hard question 7

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
Show answer

Answer: B. 12 hours of clock time corresponds to slightly less true time given the gain, working out to approximately 7:55 pm.

Sample Hard question 8

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
Show answer

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.

More Reasoning topics for Ladakh Prison Department

Related articles