calendar aptitude questions

6. If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
A. Sunday B. Saturday
C. Tuesday D. Wednesday

Answer: Option A

Explanation:

 

The year 2004 is a leap year. So, it has 2 odd days.

But, Feb 2004 not included because we are calculating from March 2004 to March 2005. So it has 1 odd day only.

The day on 6th March, 2005 will be 1 day beyond the day on 6th March, 2004.

Given that, 6th March, 2005 is Monday.

6th March, 2004 is Sunday (1 day before to 6th March, 2005).


7. On what dates of April, 2001 did Wednesday fall?
A. 1st, 8th, 15th, 22nd, 29th B. 2nd, 9th, 16th, 23rd, 30th
C. 3rd, 10th, 17th, 24th D. 4th, 11th, 18th, 25th

Answer: Option D

Explanation:

We shall find the day on 1st April, 2001.

1st April, 2001 = (2000 years + Period from 1.1.2001 to 1.4.2001)

Odd days in 1600 years = 0

Odd days in 400 years = 0

Jan. Feb. March April
(31 + 28 + 31 + 1)     = 91 days 0 odd days.

Total number of odd days = (0 + 0 + 0) = 0

On 1st April, 2001 it was Sunday.

In April, 2001 Wednesday falls on 4th, 11th, 18th and 25th.


8. How many days are there in x weeks x days?
A. 7x2 B. 8x
C. 14x D. 7

Answer: Option B

Explanation:

 

x weeks x days = (7x + x) days = 8x days.


9. The last day of a century cannot be
A. Monday B. Wednesday
C. Tuesday D. Friday

Answer: Option C

Explanation:

 

100 years contain 5 odd days.

Last day of 1st century is Friday.

200 years contain (5 x 2) 3 odd days.

Last day of 2nd century is Wednesday.

300 years contain (5 x 3) = 15 1 odd day.

Last day of 3rd century is Monday.

400 years contain 0 odd day.

Last day of 4th century is Sunday.

This cycle is repeated.

Last day of a century cannot be Tuesday or Thursday or Saturday.


10. On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
A. Tuesday B. Monday
C. Sunday D. Wednesday

Answer: Option C

Explanation:

 

The year 2004 is a leap year. It has 2 odd days.

The day on 8th Feb, 2004 is 2 days before the day on 8th Feb, 2005.

Hence, this day is Sunday.

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