Q142 of 142 Page 88

13 and 31 is a strange pair of numbers such that their squares 169 and 961 are also mirror images of each other. Can you find two other such pairs?

Given:

(1) one such pair is 12 and 21


(12)2 = 144 and (21)2 = 441


(1) another such pair is 102 and 201


(102)2 = 10404 and (201)2 = 40401


More from this chapter

All 142 →
138

A perfect square number has four digits, none of which is zero. The digits from left to right have values that are : even, even, odd, even. Find the number.

 139

Put three different numbers in the circles so that when you add the numbers at the end of each line you always get a

perfect square.


 140

The perimeters of two squares are 40 and 96 metres respectively. Find the perimeter of another square equal in area to the sum of the first two aquares.

 141

A three-digit perfect square is such that if it is viewed upside down, the number seen is also a perfect square. What is the number?

[Hint: The digit 1, 0 and 8 stay the same when viewed upside down, whereas 9 becomes 6 and 6 becomes 9.]