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CAT Data Interpretation & Logical Reasoning Calendar Test 3

2524.If 6th March, 2005 is Monday, what was the day of the week on 6th March, 2004?
Sunday
Saturday
Tuesday
Wednesday
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.

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

Given that, 6th March, 2005 is Monday.

$\therefore$ 6th March, 2004 is Sunday., 1 day before to 6th March, 2005.

2525.Today is Monday. After 61 days, it will be:
Wednesday
Saturday
Tuesday
Thursday
Explanation:

Each day of the week is repeated after 7 days.

So, after 63 days, it will be Monday.

$\therefore$ After 61 days, it will be Saturday.

2527.On 8th Feb, 2005 it was Tuesday. What was the day of the week on 8th Feb, 2004?
Tuesday
Monday
Sunday
Wednesday
Explanation:

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

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

Hence, this day is Sunday.

2528.If the day before yesterday was Thursday, when will Sunday be?
Day after tomorrow
Tomorow
Two days after today
Today
Explanation:

Day before yesterday was Thursday

=>Yesterday was a Friday

=> Today is a Saturday

=> Tomorrow is a Sunday

2531.How many days will there be from 26th January,1996 to 15th May,1996[both days included]?
102
103
111
120
Explanation:

Number of days from 26-Jan-1996 to 15-May-1996 [both days included]

= 6 Jan + 29 Feb + 31 Mar + 30 Apr+ 15 May = 111

2532.The calendar for the year 2007 will be the same for the year:
2014
2016
2017
2018
Explanation:

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

2533.January 1, 2008 is Tuesday. What day of the week lies on Jan 1, 2009?
Monday
Wednesday
Thursday
Sunday
Explanation:

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

1st day of the year 2008 is Tuesday Given

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

Hence, it will be Thursday.

2534.What will be the day of the week 15th August, 2010?
Sunday
Monday
Tuesday
Friday
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 = $(2 \times 2 + 7 \times 1)$ = 11 odd days $\equiv$ 4 odd days.

2535.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 = $\left(1 + 1 + 2 + 1\right)$ = 5 days.

$\therefore$ On 31st December 2009, it was Thursday.

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

2536.How many days are there in $x$ weeks $x$ days?
7$x$2
8$x$
14$x$
7
Explanation:

$ x $ weeks $x$ days = 7$ x $ + $ x $ days = 8$ x $ days.

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