Quantitative Aptitude — Calendar & Clock

8 mins
Time
10
Questions
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1
Per Q

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Quantitative Aptitude — Calendar & Clock — Questions with Answers Open after you finish the quiz — all 10 questions, with answers and explanations.
Q1. What day of the week was 26th January 1950?
  1. Thursday
  2. Friday
  3. Saturday
  4. Sunday
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Answer: A. Thursday
26th January 1950 was a Thursday. This can be calculated using the odd days method for calendars.
Q2. Which of the following is a leap year?
  1. 1998
  2. 2002
  3. 2004
  4. 2010
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Answer: C. 2004
A leap year is divisible by 4, except for century years which must be divisible by 400. 2004 is divisible by 4.
Q3. If today is Tuesday, what day will it be after 73 days?
  1. Monday
  2. Tuesday
  3. Wednesday
  4. Thursday
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Answer: D. Thursday
Divide 73 by 7 (days in a week). The remainder is 3. So, 3 days after Tuesday is Thursday.
Q4. What is the angle between the hour hand and the minute hand at 3:30?
  1. 60°
  2. 75°
  3. 90°
  4. 105°
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Answer: B. 75°
At 3:30, the hour hand is at 105° (3 × 30 + 30 × ½) and the minute hand is at 180° (30 × 6). The difference is 75°.
Q5. What will be the mirror image time of 9:20?
  1. 2:40
  2. 3:40
  3. 2:20
  4. 3:20
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Answer: A. 2:40
To find the mirror image time, subtract the given time from 11:60. 11:60 - 9:20 = 2:40.
Q6. A clock loses 5 minutes every hour. If it is set correctly at 12 noon, what time will it show at 5 PM on the same day?
  1. 4:35 PM
  2. 4:40 PM
  3. 4:45 PM
  4. 4:50 PM
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Answer: A. 4:35 PM
From 12 noon to 5 PM is 5 hours. The clock loses 5 minutes per hour, so it loses 5 × 5 = 25 minutes. The time shown will be 5:00 PM - 25 minutes = 4:35 PM.
Q7. Which year will have the same calendar as 2006?
  1. 2011
  2. 2012
  3. 2017
  4. 2018
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Answer: C. 2017
For a non-leap year, the calendar repeats after 11 years if there is no leap year in between, or after 6 years. 2006 + 11 = 2017.
Q8. How many times do the hands of a clock form a 180° angle (straight line but opposite direction) in 12 hours?
  1. 10
  2. 11
  3. 12
  4. 22
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Answer: B. 11
The hands of a clock form a 180° angle 11 times in 12 hours (they don't form it at 6 o'clock relative to 12).
Q9. If 1st January 2001 was a Monday, what day was 1st January 2005?
  1. Wednesday
  2. Thursday
  3. Friday
  4. Saturday
Show answer
Answer: D. Saturday
2001 (non-leap) adds 1 odd day. 2002 (non-leap) adds 1 odd day. 2003 (non-leap) adds 1 odd day. 2004 (leap year) adds 2 odd days. Total 1+1+1+2 = 5 odd days. Monday + 5 days = Saturday.
Q10. What is the angle covered by the hour hand of a clock in 3 hours and 20 minutes?
  1. 90°
  2. 100°
  3. 110°
  4. 120°
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Answer: B. 100°
The hour hand moves ½° per minute. In 3 hours (180 minutes) it moves 180 × ½ = 90°. In 20 minutes it moves 20 × ½ = 10°. Total angle = 90° + 10° = 100°.
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