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Byju's Answer

Standard XII

Mathematics

Combination with Restrictions

The calendar ...

Question

The calendar for the year $2005$ is the same as for the year

2010

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2011

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2012

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2013

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Solution

The correct option is B $2012$
Count the number of days from $2005$ onwards to get $0$ odd day.
Year $2005$ $2006$ $2007$ $2008$ $2010$ $2011$
Odd days $1$ $1$ $1$ $2$ $1$ $1$
= $7$ or $0$ odd day.
$∴$ Calender for the year $2005$ is the same as that for the year $2012$ .

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Q. The calendar for the year 2014 is the same as that for the year:

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∣ ∣ ∣ ∣ \begin{matrix} 2009 & 2010 & 2011 2010 & 2011 & 2012 2011 & 2012 & 2013 \end{matrix} ∣ ∣ ∣ ∣

PRACTICAL PROBLEMS

(Presentation of Subscriptions only)

Balance Sheet as on 01/04/2012
Liabilities	Amount Rs	Amount Rs	Assets	Amount Rs	Amount Rs
Subscription received in			Outstanding subscriptions
Advance for 2012-2013		15,000	2010-2011	20,000
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					50,000

Receipts and Payments Account for the year ending on 31-03-2013
Dr.	Cr.
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Year	$2005$	$2006$	$2007$	$2008$	$2010$	$2011$
Odd days	$1$	$1$	$1$	$2$	$1$	$1$

The calendar for the year 2005 is the same as for the year

The correct option is B 2012Count the number of days from 2005 onwards to get 0 odd day.Year2005 2006 2007 2008 2010 2011Odd days 1 1 1 2 1 1= 7 or 0 odd day.∴ Calender for the year 2005is the same as that for the year 2012.

The calendar for the year $2005$ is the same as for the year

The correct option is B $2012$
Count the number of days from $2005$ onwards to get $0$ odd day.
Year $2005$ $2006$ $2007$ $2008$ $2010$ $2011$
Odd days $1$ $1$ $1$ $2$ $1$ $1$
= $7$ or $0$ odd day.
$∴$ Calender for the year $2005$ is the same as that for the year $2012$ .