Question

Grid : Write the numbers 1-100 such that each

number is in one square.

1 2 3 4 5 6 7 8 9 10

11 12 13 14 15 16 17 18 19 20

21 22 23 24 25 26 27 28 29 30

31 32 33 34 35 36 37 38 39 40

41 42 43 44 45 46 47 48 49 50

51 52 53 54 55 56 57 58 59 60

61 62 63 64 65 66 67 68 69 70

71 72 73 74 75 76 77 78 79 80

81 82 83 84 85 86 87 88 89 90

91 92 93 94 95 96 97 98 99 100​

Answer 1

To find:

Here we have to find the pair of numbers, of which, one is the square of the other.

Step-by-step explanation:

We know that the square or $1$ is $1$ itself, i.e., $1^{2}=1\to (1,1)$

Let us see what the other pairs are:

• $2^{2}=4\to (2,4)$

• $3^{2}=9\to (3,9)$

• $4^{2}=16\to (4,16)$

• $5^{2}=25\to (5,25)$

• $6^{2}=36\to (6, 36)$

• $7^{2}=49\to (7,49)$

• $8^{2}=64\to (8,64)$

• $9^{2}=81\to (9,81)$

• $10^{2}=100\to (10,100)$

Answer:

Hence the required pairs are (1, 1), (2, 4), (3, 9), (4, 16), (5, 25), (6, 36), (7, 49), (8, 64), (9, 81) and (10, 100).