No, he cannot cut a 15 cm square handkerchief because 15² = 225, which is more than 125. The nearest perfect square below 125 is 121 and √121 = 11. So, he can cut a handkerchief of side 11 cm. Class ...
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No, 500 is not a perfect cube. Its prime factors are 2 × 2 × 5 × 5 × 5. The 2s cannot be grouped into a triplet. So, 500 is not a cube because all factors must occur in ...
The five lockers that are toggled exactly twice are lockers numbered 2, 3, 5, 7 and 11. These are all prime numbers, which have only two factors—1 and the number itself—so they are touched just twice during the process. Class 8 ...