Q4 of 67 Page 86

What are the remainders of a perfect square when divided by 5?

Since all perfect squares terminate with digits 0, 1, 4, 5, 6, 9 , i.e., digits at unit place.

So, remainder when the perfect square is divided by 5 is either of 1, 4, and 0.

Express 144 as a sum of 12 odd numbers.

Find the 14^th and 15^th triangular numbers, and find their sum. Verify the Statement 8 for this sum.

Find the squares of:

Questions · 67

5. Squares, Square-Roots, Cubes and Cube-Roots

1 2 3 4 5 1 2 3 4 1 1 1 1 2 3 1 1 1 1 1 2 2 2 2 2 2 3 4 5 1 2 3 1 2 3 4 5 6 1 1 1 1 1 2 2 2 3 1 2 2 2 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16