Aptitude

Question:
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.

Question:
It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?

[A].

Sunday

[B].

Saturday

[C].

Friday

[D].

Wednesday

Answer: Option C

Explanation:

On 31st December, 2005 it was Saturday.

Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.

On 31st December 2009, it was Thursday.

Thus, on 1st Jan, 2010 it is Friday.

Question:
How many days are there in x weeks x days?

[A].

7×2

[B].

8x

[C].

14x

[D].

7

Answer: Option B

Explanation:

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

Question:
Which of the following is not a leap year?

[A].

700

[B].

800

[C].

1200

[D].

2000

Answer: Option A

Explanation:

The century divisible by 400 is a leap year.

The year 700 is not a leap year.

Question:
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.

Question:
Today is Monday. After 61 days, it will be:

[A].

Wednesday

[B].

Saturday

[C].

Tuesday

[D].

Thursday

Answer: Option B

Explanation:

Each day of the week is repeated after 7 days.

So, after 63 days, it will be Monday.

After 61 days, it will be Saturday.

Question:
What will be the day of the week 15th August, 2010?

[A].

Sunday

[B].

Monday

[C].

Tuesday

[D].

Friday

Answer: Option A

Explanation:

15th August, 2010 = (2009 years + Period 1.1.2010 to 15.8.2010)

Odd days in 1600 years = 0

Odd days in 400 years = 0

9 years = (2 leap years + 7 ordinary years) = (2 x 2 + 7 x 1) = 11 odd days 4 odd days.

Jan. Feb. March April May June July Aug.
(31 + 28 + 31 + 30 + 31 + 30 + 31 + 15) = 227 days

227 days = (32 weeks + 3 days) 3 odd days.

Total number of odd days = (0 + 0 + 4 + 3) = 7 0 odd days.

Given day is Sunday.

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

[A].

Thursday

[B].

Friday

[C].

Saturday

[D].

Sunday

Answer: Option D

Explanation:

28 May, 2006 = (2005 years + Period from 1.1.2006 to 28.5.2006)

Odd days in 1600 years = 0

Odd days in 400 years = 0

5 years = (4 ordinary years + 1 leap year) = (4 x 1 + 1 x 2) 6 odd days

Jan. Feb. March April May
(31 + 28 + 31 + 30 + 28 ) = 148 days

148 days = (21 weeks + 1 day) 1 odd day.

Total number of odd days = (0 + 0 + 6 + 1) = 7 0 odd day.

Given day is Sunday.

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

[A].

Monday

[B].

Tuesday

[C].

Wednesday

[D].

Thursday

Answer: Option C

Explanation:

17th June, 1998 = (1997 years + Period from 1.1.1998 to 17.6.1998)

Odd days in 1600 years = 0

Odd days in 300 years = (5 x 3) 1

97 years has 24 leap years + 73 ordinary years.

Number of odd days in 97 years ( 24 x 2 + 73) = 121 = 2 odd days.

Jan. Feb. March April May June
(31 + 28 + 31 + 30 + 31 + 17) = 168 days

168 days = 24 weeks = 0 odd day.

Total number of odd days = (0 + 1 + 2 + 0) = 3.

Given day is Wednesday.

Question:
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.