Simplify : 81 X 81 + 68 X 68 – 2 x 81 X 68.

Find the remainder when 2³¹ is divided by 5.

Simplify : 

(i) 5793405 x 9999 

(ii) 839478 x 625

Which digits should come in place of * and $ if the number 62684*$ is divisible by both 8 and 5 ?

What least number must be added to 3000 to obtain a number exactly divisible by 19 ?

Is 52563744 divisible by 24 ?

Show that 4832718 is divisible by 11.

Simplify : 896 x 896 – 204 x 204

What value will replace the question mark in each of the following equations ? 

(i) ? – 1936248 = 1635773 

(ii) 8597 – ? = 7429 – 4358