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Byju's Answer
Standard XII
Mathematics
Permutation: n Different Things Taken All at a Time When All Are Not Different.
Mark a 3 × 3 ...
Question
Mark a 3 × 3 box with a palindrome number at the centre on the calendar given below and find the sum of all the numbers in the box.
( 3 marks )
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Solution
Solution:
We know that palindromes are words, numbers or sentences which read the same in forward or reverse order.
(0.5 marks)
In this calendar, two palindrome numbers are there: 11 and 22, but we can only take 11 at the centre of a 3 × 3 box.
(1 mark)
Mark a 3 × 3 box by taking “11” at the centre, as shown below.
(0.5 marks)
Since we know that the sum of numbers will be 9 times the middle number in the 3 × 3 box,
Sum of the numbers = 9 × 11 = 99.
(1 marks)
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Q.
Look at the calendar below.
Let us mark a 3 × 3 box (9 dates) on the calendar and see some magic.
Take the smallest number
3
Add 8 to it
+8
=
11
Multiply it by 9
×9
Total
99
Now you choose any 3 × 3 box from a calendar and find the total in the same way.