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NCERT Exemplar · Class 8 · Maths

Chapter 3: Squares and Square Roots & Cubes and Cube Roots

Practice each question, then open the answer or worked solution.

Questions

142 questions
Q141Written answer

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 digits 1, 0 and 8 stay the same when viewed upside down, whereas 9 becomes 6 and 6 becomes 9.)

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Worked solution

Solution:-

A three digit perfect square is such that if it is viewed upside down are 196 and 961.

Q142Written answer

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?

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Worked solution

Solution:-

First pair is 12 and 21

Squares of numbers, 122 = 144 and 212 = 441

Second pair is 102 and 201

Squares of numbers, 1022 = 10404 and 2012 = 40401