Calendars: Tracking Days of the Week Across Years Quiz — 5 Free Questions

📖 Read the passage, then answer the questions below

Sanya knows that 1st January of a particular reference year, which she calls Year Y, fell on a Monday. Year Y is a leap year. She wants to work out which day of the week various dates fall on, both within Year Y itself and in the years following it, using the standard rule that an ordinary year has 365 days, made up of 52 complete weeks plus 1 extra "odd day," while a leap year has 366 days, made up of 52 complete weeks plus 2 extra "odd days." Years Y+1, Y+2, and Y+3 are all ordinary years, while Year Y+4 is again a leap year.

Separately, within Year Y itself, Sanya wants to work out the day of the week for the 1st of several other months, given that January has 31 days, February (since Year Y is a leap year) has 29 days, March has 31 days, and April has 30 days.

Question 1

What day of the week is 1st January three years after Year Y+1, that is, Year Y+4?

Question 2

How many days are there from 1st January to 1st May of Year Y?

Question 3

What day of the week is 1st January of Year Y+4?

Question 4

How many odd days does a leap year contribute?

Question 5

What is the difference in days between January, which has 31 days, and April, which has 30 days, in Year Y?

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About Calendars: Tracking Days of the Week Across Years

CLAT's Quantitative Techniques section pairs a short data-rich scenario with several straightforward numeric questions -- here, calendar and odd-day arithmetic applied to a single invented reference year, so every answer can be worked out from the figures given, without any outside knowledge.

This quiz is built around one reference point: an invented Year Y whose 1st January is known to fall on a Monday, together with the standard odd-day rule for ordinary and leap years, fully worked out up front. Every question below is answered using those same figures -- nothing new is introduced question to question.

The twenty-four questions move through the kind of angles CLAT actually tests: the day of the week for 1st January in nearby years, the day of the week for the 1st of other months within Year Y, odd-day counts, and a multi-statement combination question.

Only five of the twenty-four questions are shown on any single attempt, so replaying this quiz brings a genuinely different mix of angles on the same reference year rather than the same five memorised by rote.