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CAT Clock and Calendars topic is the part of Data Interpretation and Logical Reasoning section. With prior preparation and practice, a candidate can easily invest 10 -15 minutes on the Clock and Calenders questions, which is a significant portion of the 2 hour duration of the exam. Around 2 to 3 questions from this topic may be asked, therefore candidates are advised to aim for this topic to score around 6 to 9 positive marks in the exam. Check CAT DILR Syllabus 2021 

From CAT Clock and Calendars topics MCQ and TITA type questions can be expected in CAT 2021. Based on the experience of previous year’s test taker, the difficulty level of this topic has been rated moderate and with the right knowledge of formulas and some shortcut methods candidates can esility the questions. Download CAT Question Papers

Important Formulae for CAT Clock and Calenders

For the purpose of CAT questions, a clock can be defined as a circle that is made of degrees, meaning that the angle in between the hands is more predominant than the time shown by the clock. On the other hand, following the same logic,the number of days in a month is much more important than the months themselves.

CAT Formulas for Clock

Formulas for Clock
60-minute space = 360° = 1 hour Straight Angle or Straight Line or 180° = 30-minute space apart
1-minute space = 6° = 1 minute Straight Angle = 11 times in 12 hours or 22 times in 24 hours (1 day)
5-minute space = 6° x 5 = 30° = 5 minutes Angle traced by hour hand in 12 hrs = 360°
Right Angle or Perpendicular = 15-minute spaces apart Angle traced by minute hand in 60 min. = 360°
Right Angle or Perpendicular = 22 times in 12 hours or 44 times in 24 hours (1 day) Speed of hour hand = 0.5 dpm (degree per minute)
Speed of minute hand = 6 dpm Angle of the hour hand from vertical at N o’clock = 30N

CAT Formulas for Calendar

Formulas for Calendar
1 ordinary year = 365 days = (52 weeks + 1 day.)
1 ordinary year has 1 odd day. 1 leap year has 2 odd days. = (76 x 1 + 24 x 2) odd days = 124 odd days.

Quick Links for DILR Study Material : 

CAT Clock and Calendars Preparation Tips

In the section below, some tips for the preparation of CAT Clock and Calendars are mentioned.

  • Note Down the above Mentioned Formulas 

Candidates are requested to note down the above mentioned formulas for referencing purposes, and keep them closeby why practising clock and calendar questions

  • Remember the Number of days in a Months

While it may sound as an insignificant preparation tip, it is crucial that the candidate knows the months having 30 days and the ones having 31 days, as the number of days in a month is an essential part of solving questions on calenders.

Months with 31 Days  Months with 30 Days  Special Month : February 
January  April Depending on whether the year is a leap year or not.
March June Leap years are exactly divisible by 4
May  September February can have :
  • 28 Days 
  • 29 Days (For Leap Year)
July  November --
August -- --
October  -- --
December -- --
  • Solve Previous Year Questions and Practise Papers

 The only way to excel at something is to practise it a lot. So, a candidate should go through the Clocks and Calendar Questions as frequently as he can; candidates can visit the links given below for practise.

CAT Clock and Calendars Solved Question

Some solved questions for CAT Clock and Calendars are listed below.

Ques. Find out the angle between the hands of the clock at 7:20?

  1. 100 degree
  2. 200 degree
  3. 300 degree
  4. 400 degree

Correct Answer: (A)

Ques. Calculate the time the hands of the clock meet between 7:00 and 8:00?

  1. 7 : 38 : 2/11th
  2. 8 : 38 : 2/11th
  3. 6 : 38 : 2/11th
  4. 3 : 38 : 2/11th

Correct Answer: (A)

Ques. Find out the time the hands of a clock between 7:00 and 8:00 form 90 degrees?

  1. 8 : 21 : 9/11th and 7 : 54 : 6/11th
  2. 7 : 21 : 9/11th and 7 : 54 : 6/11th
  3. 9 : 21 : 9/11th and 7 : 54 : 6/11th
  4. 6 : 21 : 9/11th and 7 : 54 : 6/11th

Correct Answer: (B)

Ques. A clock gains 5 seconds in 3 minutes. It was set right at 8 AM. Calculate the time that it will show at 10 PM on the same day?

  1. 9 : 23 : 20 PM
  2. 10 : 23 : 20 PM
  3. 8 : 23 : 20 PM
  4. 7 : 23 : 20 PM

Correct Answer: (B)

Ques. A clock gains 5 seconds in 3 minutes. The clock was set right at 8 AM. Find out the exact timing if the clock shows 5:15 in the afternoon on the same day. 

  1. 5 PM
  2. 6 PM
  3. 8 PM
  4. 7 PM

Correct Answer: (A)

Ques: A clock shows the time 20 minute past 2. Find out the angle between the minute and hour hands of the clock?

  1. 60 degrees
  2. 120 degrees
  3. 45 degrees
  4. 50 degrees

Correct Answer: (D)

Ques: In a calendar, there is given a date that shows 27th February 2003 is a Thursday. Calculate the day of the week that was 27th February 1603?

  1. Monday
  2. Thursday
  3. Sunday
  4. Tuesday

Correct Answer: (B)

Ques: Between 11 O'clock and 12 O'clock, find out the times when the minute and hour hands of a clock together at an integral number value?

  1. 55
  2. 56
  3. 4
  4. 5

Correct Answer: (D)

Ques: 1% of time is reduced by a clock in the first week. After that the clock gains 2% time during the next one week. Find out the time that shows the clock for 14 days from the exact time the clock was correctly set when it was set right at 12 noon on a Sunday?

  1. 1: 36: 48
  2. 1: 40: 48
  3. 1: 41: 24
  4. 10: 19: 12

Correct Answer: (B)

Ques: What are the number of points in a clock between 10 O'clock and 11 O'clock are the minute hand and hour hand at an angle of 30 degrees to each other?

  1. 2
  2. 4
  3. 1
  4. 3

Correct Answer: (C)

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*The article might have information for the previous academic years, please refer the official website of the exam.

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