find a day without reference day Practice Questions Answers Test with Solutions & More Shortcuts

Question : 6

On which dates of April 2012 will a Sunday come?

a) 5, 12, 19, 26

b) 1, 8, 15, 22, 29

c) 3, 10, 17, 24

d) 7, 14, 21, 28

Answer: (b)

First of all, we have to find the day on 1st April, 2012 1st April 2012 means

(2011 years 3 months and 1 day)

Now, 2000 years have 0 odd days 11 years have

(2 leap years and 9 ordinary years)

= ( 2 × 2 + 9 × 1 ) odd days

= (4 + 9) odd days = 13

= 6 odd days

3 months and 1 day

January 31
February 29
March 31
April 1

= 92 days = 1 odd day

Total number of odd days = ( 6 + 1 ) = 7

⇒ 0 odd day

Hence, it was Sunday on 1st April 2012. (1st Sunday).

Subsequently, Sundays of the month were on 1st, 8th, 15nd, 22nd, and 29th.

Question : 7

What was the day of the week on 28th May 2006?

a) Thursday

b) Friday

c) Saturday

d) Sunday

Answer: (d)

Question : 8

What was the day of the week on 17th June, 1998?

a) Monday

b) Tuesday

c) Wednesday

d) Thursday

Answer: (c)

Question : 9

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: (d)

Question : 10

What day of the week was on 1st January 2001?

a) Monday

b) Wednesday

c) Sunday

d) Tuesday

Answer: (a)

1st January 2001 means 2000 complete years + 1 day of January 2001

Number of odd days in 2000 yrs = 0

Number of odd days in January 2001 = 1

Total number of odd days = 0+1 = 1

So, the required day was Monday

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