Description

This mock test of Test: Calendar 1 for Quant helps you for every Quant entrance exam.
This contains 20 Multiple Choice Questions for Quant Test: Calendar 1 (mcq) to study with solutions a complete question bank.
The solved questions answers in this Test: Calendar 1 quiz give you a good mix of easy questions and tough questions. Quant
students definitely take this Test: Calendar 1 exercise for a better result in the exam. You can find other Test: Calendar 1 extra questions,
long questions & short questions for Quant on EduRev as well by searching above.

QUESTION: 1

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

Solution:

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: 2

January 1st 1992 was a Wednesday. what day of the week was January 1, 1993?

Solution:

1992 being a leap year it had two odd days show the first day of the year 1993 was today beyond so Wednesday i.e it was Friday.

QUESTION: 3

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

Solution:

On 31^{st} December, 2005 it was Saturday.

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

∴ On 31^{st} December 2009, it was Thursday.

Thus, on 1^{st} Jan, 2010 it is Friday.

QUESTION: 4

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

Solution:

28 May, 2006 **i.e.** 2005 years and 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 (31) + Feb (28) + March (31) + April (30) + May (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.

Thus, the** given day is Sunday**.

QUESTION: 5

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

Solution:

17^{th} June, 1998 **i.e.**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 = 24 leap years + 73 ordinary years.

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

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

Therefore 168 days = 24 weeks = 0 odd day.

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

Thus, the **given day is Wednesday**.

QUESTION: 6

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

Solution:

15^{th} 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 Mayb 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: 7

If 6^{th} March, 2005 is Monday, what was the day of the week on 6^{th} March, 2004?

Solution:

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 6^{th} March, 2005 will be 1 day beyond the day on 6^{th} March, 2004.

Given that, 6^{th} March, 2005 is Monday.

∴ 6^{th} March, 2004 is Sunday (1 day before to 6^{th} March, 2005).

QUESTION: 8

On what dates of April, 2001 did Wednesday fall?

Solution:

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

1^{st} 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 1^{st} April, 2001 it was Sunday.

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

QUESTION: 9

How many days are there in x weeks x days?

Solution:

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

QUESTION: 10

On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?

Solution:

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

∴ The day on 8^{th} Feb, 2004 is 2 days before the day on 8^{th} Feb, 2005.

Hence, this day is Sunday.

QUESTION: 11

The calendar for the year 2007 will be the same for the year:

Solution:

Count the number of odd days from the year 2007 onwards to get the sum equal to 0 odd day.

Sum = 14 odd days ≡ 0 odd days.

∴ Calendar for the year 2018 will be the same as for the year 2007.

QUESTION: 12

Which of the following is not a leap year?

Solution:

The century divisible by 400 is a leap year.

∴ The year 700 is not a leap year.

QUESTION: 13

On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?

Solution:

The year 2006 is an ordinary year. So, it has 1 odd day.

So, the day on 8th Dec, 2007 will be 1 day beyond the day on 8th Dec, 2006.

But, 8th Dec, 2007 is Saturday.

∴ 8th Dec, 2006 is Friday.

QUESTION: 14

January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?

Solution:

The year 2008 is a leap year. So, it has 2 odd days.

1^{st} day of the year 2008 is Tuesday (Given)

So, 1^{st} day of the year 2009 is 2 days beyond Tuesday.

Hence, it will be Thursday.

QUESTION: 15

January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?

Solution:

The year 2007 is an ordinary year. So, it has 1 odd day.

1^{st} day of the year 2007 was Monday.

1^{st} day of the year 2008 will be 1 day beyond Monday.

Hence, it will be Tuesday.

QUESTION: 16

What day of the week will 22 Apr 2222 be?

Solution:

22 Apr 2222 **i.e. **2221 years + period from 1-Jan-2222 to 22-Apr-2222

We know that number of odd days in 400 years = 0

Hence the number of odd days in 2000 years = 0 (Since 2000 is a perfect multiple of 400)

Number of odd days in the period 2001-2200 = Number of odd days in 200 years = 5 x 2 = 10 = 3

As we can reduce perfect multiples of 7 from odd days without affecting anything

Number of odd days in the period 2201-2221 = 16 normal years + 5 leap years = 16 x 1 + 5 x 2 = 16 + 10 = 26 = 5 odd days

Number of days from 1-Jan-2222 to 22 Apr 2222 = 31 (Jan) + 28 (Feb) + 31 (Mar) + 22(Apr) = 112

112 days = 0 odd day

Total number of odd days = (0 + 3 + 5 + 0) = 8 = 1 odd day = Monday

Hence 22 Apr 2222 is **Monday**

QUESTION: 17

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

Solution:

Each day of the week is repeated after 7 days. So, after 63 days, it will be on Monday. After 61 days, it will be on Saturday.

QUESTION: 18

If today is Monday, what will be the day 350 days from now?

Solution:

350 days, 350/7 = 50, no odd days, so it will be a Monday.

QUESTION: 19

If today is Saturday, then what day of the week will be on the 338 days from today?

Solution:

number of odd days in 338 days = 338 / 7 = 248 complete weeks + 2odd days. 2nd day after Saturday is Monday.

QUESTION: 20

What was the day of the week on 24th July 2011?

Solution:

Formula : (Date + Month code + No.of years + No.of leap year + Century code)/7

= 43/7 =1

Thus, the day of the week on 24th July 2011will be **Sunday.**

- Test: Calendar 1
Test | 20 questions | 25 min

- Test: Time and Calendar- 1
Test | 10 questions | 15 min

- Test: Time and Calendar - 1
Test | 10 questions | 15 min

- Test: Calendar 3
Test | 20 questions | 20 min

- Calendar MCQ
Test | 6 questions | 10 min