• $$\Large \left(9.95\right)^{2} \times \left(2.01\right)^{2} = 2 \times \left(?\right)^{2}$$=
 A) 12 B) 15 C) 25 D) 20

Correct Answer:
 D) 20

##### Description for Correct answer

$$\Large \left(9.95\right)^{2} \times \left(2.01\right)^{3} = 2 \times \left(?\right)^{2}$$

Here, 9.95 is approximated to 10. 2.01 is approximated to 2 because calculating the squares or cubes of whole number is much easier than to calculate the square or cube of decimal numbers

$$\Large 2 \times \left(?\right)^{2} = \left(10\right)^{2} \times \left(2\right)^{3} = 100 \times 8 = 800$$

= $$\Large \left(?\right)^{2} = 800$$

= $$\Large \left(?\right)^{2} = 400$$

Therefore, $$\Large ? = 20$$