Test: Squares And Square Roots- 1

The answer is 1681 because it is the only number which has it's last digit as a number which a perfect square can have . 9×9=81 the last digit is 1.

Option B is correct because the unit digit of 161 is 1 and if unit digit of any digit ends with 1 the its square will also end with 1.

Here, we have to find the sum of first five odd natural numbers.

Therefore, 1 + 3 + 5 + 7 + 9 = (5)2 = 25

The smallest whole number is 7, by which 1008 should be multiplied so as to get a perfect square.

Now 1008×7= 7056

=2×2×2×2×3×3×7×7

So, the square root will be =2×2×3×7 = 84

Answer is 6 because the last digit of the square of 4 is 6 and 4 is also 6.

Since, 1 x 1 = 1

         2 x 2 = 4

         3 x 3 = 9

         4 x 4 = 16

         5 x 5 = 25

         6 x 6 = 36

         7 x 7 = 49

Thus, 36 is a perfact square number between 30 and 40.

The numbers ending with 0 gives 0,numbers ending with 1,9 gives 1, numbers ending with 2,8 gives 4, numbers ending with 3,7 gives 9, numbers ending with 5 gives 5 and numbers ending with 4,6 gives 6. Hence we get only 0,1,4,5,6,9 at the unit's place.

The perfect squares have 0,1,2,4,5,6 or 9 at their units place.
Therefore153,257 and 408 are surely not perfect squares.

12² = 12*12 = 144

13² = 13*13 = 169

Now numbers are between144 and 169 are:

145, 146, 147,.............168

Total number = 24

So total numbers lies between 144 and 169 is 24