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CAT Data Interpretation & Logical Reasoning Calendar Test 1

1324.It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?
Sunday
Saturday
Friday
Wednesday
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.
2522.Which of the following is not a leap year?
700
800
1200
2000
Explanation:

The century divisible by 400 is a leap year.

$\therefore$ The year 700 is not a leap year.

2523.If the first day of a year [other than leap year] was Friday, then which was the last day of that year?
Saturday
Friday
Tuesday
Monday
Explanation:

Given that first day of a normal year was Friday

Odd days of the mentioned year = 1 [Since it is an ordinary year]

Hence First day of the next year = Friday + 1 Odd day = Saturday

Therefore, last day of the mentioned year = Friday

2539.January 1, 2007 was Monday. What day of the week lies on Jan. 1, 2008?
Monday
Tuesday
Wednesday
Sunday
Explanation:

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

1st day of the year 2007 was Monday.

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

Hence, it will be Tuesday.

2540.What was the day of the week on 28th May, 2006?
Thursday
Friday
Saturday
Sunday
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 $\equiv$ 6 odd days

2541.Arun went for a movie nine days ago. He goes to watch movies only on Thursdays. What day of the week is today?
Wednesday
Saturday
Friday
Sunday
Explanation:

Clearly it can be understood from the question that 9 days ago was a Thursday

Number of odd days in 9 days = 2 [As 9-7 = 2, reduced perfect multiple of 7 from total days]

Hence today = Thursday + 2 odd days = Saturday

2543.On 8th Dec, 2007 Saturday falls. What day of the week was it on 8th Dec, 2006?
Sunday
Thursday
Tuesday
Friday
Explanation:

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.

$\therefore$ 8th Dec, 2006 is Friday.

2545.If 1st October is Sunday, then 1st November will be
Saturday
Thursday
Wednesday
Tuesday
Explanation:

Given that 1st October is Sunday

Number of days in October = 31

31 days = 3 odd days

As we can reduce multiples of 7 from odd days which will not change anything

Hence 1st November = Sunday + 3 odd days = Wednesday

2546.If the seventh day of a month is three days earlier than Friday, What day will it be on the nineteenth day of the month?
Saturday
Monday
Sunday
Wednesday
Explanation:

Given that seventh day of a month is three days earlier than Friday

=> Seventh day is Tuesday

=> 14th is Tuesday

=> 19th is Sunday

2547.Today is Thursday. The day after 59 days will be?
Monday
Tuesday
Saturday
Sunday
Explanation:

59 days = 8 weeks 3 days = 3 odd days

Hence if today is Thursday, After 59 days, it will be = Thursday + 3 odd days

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