Question

A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.

Answer 1

	31
3	`bar10  bar00`  -9
61	100     61
	39

Since the plants are planted in a garden in such a way that the number of rows and the number of columns remain the same.

The next number is 32 and 32² = 1024

Hence, number to be added to 1000 to make it a perfect square

Clearly, 31² = 961<1000

32² = 1024 > 1000

∴ 1024 – 1000 = 24

Thus, the gardenerneeds 24 more plants.