If we arrange the given numbers $717563, 715763, 717653, 717536$ in decreasing order, we will get:

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$717653, 717563, 717536, 715763$

$717563, 717653, 717536, 715763$

$717653, 717536, 717563, 715763,$

$717563, 717653, 715763, 717536$

answer is A.

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Detailed Solution

Given:

The numbers $717563, 715763, 717653, 717536$ .

Arranging the numbers in decreasing order means, arranging them in order of greatest to smallest. So, let us place the numbers in the place value chart and arrange them.

Numbers	L	T.Th	Th	H	T	O
$717563$	$7$	$1$	$7$	$5$	$6$	$3$
$715763$	$7$	$1$	$5$	$7$	$6$	$3$
$717653$	$7$	$1$	$7$	$6$	$5$	$3$
$717536$	$7$	$1$	$7$	$5$	$3$	$6$

Now, let us compare the place values.

The lakh's and then thousand's place have same digits, so we will compare the thousand's place. From there we get that $5$ is the smallest, so $715763$ will be the smallest number.

On comparing the hundred's place for the remaining numbers, we get that $6$ is the highest, so $717653$ will be the greatest number.

Now, let us compare the remaining two numbers. They have same digit in hundred's place, so we will compare the ten's place and from there we get that $6$ is highest, so the second highest number will be $717563$ .

So, the arrangement of numbers in decreasing order will be $717653, 717563, 717536, 715763$ .

Hence, option A is correct.

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