Calendar & Clock

JKSSB Junior Engineer (Mechanical) · Reasoning · 34 practice questions with answers and explanations: 14 Easy, 18 Medium, 2 Hard.

Sample questions

Sample Easy question 1

How many days are there in a leap year?

  1. 367
  2. 365
  3. 364
  4. 366
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Answer: D. A leap year has 366 days, with an extra day added to February.

Sample Easy question 2

How many odd days are there in 100 years?

  1. 1
  2. 6
  3. 3
  4. 5
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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 Easy question 3

A watch gains 5 minutes every hour. If it is set correctly at 6:00 AM, what will it show at 6:00 PM the same day (12 real hours later)?

  1. 7:00 PM
  2. 6:45 PM
  3. 6:50 PM
  4. 7:10 PM
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Answer: A. A watch gaining 5 minutes every hour gains 5×12 = 60 minutes over 12 hours, so it shows 6:00 PM + 1 hour = 7:00 PM.

Sample Medium question 4

A clock loses 15 minutes every 24 hours. If it is set correctly at 12:00 noon, what time will it show after exactly 24 real hours?

  1. 11:50 AM
  2. 11:40 AM
  3. 11:30 AM
  4. 11:45 AM
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Answer: D. A clock that loses 15 minutes every 24 hours will show 12:00 noon minus 15 minutes = 11:45 AM after 24 real hours.

Sample Medium question 5

If January 1, 1901 was a Tuesday, and there are 5 odd days in 100 years, what day was January 1, 1801 (100 years earlier)?

  1. Sunday
  2. Thursday
  3. Friday
  4. Saturday
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Answer: B. Going 100 years backward subtracts 5 odd days from Tuesday: Tuesday - 5 days = Thursday.

Sample Medium question 6

At what time between 7 and 8 o'clock are the hour and minute hands of a clock exactly opposite each other?

  1. 7:07 5/11
  2. 7:05 5/11
  3. 7:12 5/11
  4. 7:10 5/11
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Answer: B. Hands are opposite when |30H - 5.5M| = 180. At H=7: |210 - 5.5M| = 180, giving 5.5M = 30, so M = 30/5.5 = 5 5/11 minutes past 7.

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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