Rule 1: The square of a number of the form a5 (where a is tens digit and 5 is units digit) is the number which ends in 25 and has the number a(a+1) before 25 .
Rule 2: The square of a number of the form 5a (where a is units digit and 5 is tens digit) is equal to
i.e.
Rule 3: The square of a three digit number 5ab (where b is units digit and a is tens digit) is given by
Here ab stands for the number formed by the last two digits.
Rule 4:The square of a number abc...5(i.e. a number having 5 at unit's place is obtained by affixing 25 to the right of the number n(n+1),where n = abc...
Illustration: Find the square of 65.
Solution: The given number is 65 Hence it is of the form a5 where a = 6
So a(a+1) = 6(6+1) =6(7) = 42
Hence
Illustration: Find the square of 85.
Solution: The given number is 85 Hence it is of the form a5 where a = 8
So a(a+1) = 8(8+1) = 72
Hence
Illustration: Find the square of 125.
Solution: The given number is 125 Hence it is of the form a5 where a = 12
So a(a+1) = 12(13) = 156
Hence
Illustration: Find the square of 527.
The square of 35 is ___________________ . | |||
Right Option : A | |||
View Explanation |
The square of 1235 is ___________________. | |||
Right Option : B | |||
View Explanation |
Find the square of 115. | |||
Right Option : A | |||
View Explanation |
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