Question

Suppose there are 60 bees in a beehive. The number of bees doubles every hour. After 4 hours, number of bees will be there.

• A. $60\times 4$
• B. $60\times 2^{4-1}$
• C. $60\times 2^4$
• D. $60\times 2\times 4$

Answer 1

The correct option is C $60\times 2^4$

Initially, there are 60 bees in a beehive. Every hour the number of bees gets doubled.

Hence,

$\text{After 1 hour, the number of bees will be}$
$=60\times 2=60\times 2^1$

$\text{After 2 hours, the number of bees will be}$
$=60\times 2^1\times 2^1=60\times 2^{1+1}=60\times 2^2$

Cotinuing in this way, we get:
$\text{After4 hours, the number of bees will be}$
$=60\times 2^1\times 2^1\times 2^1\times 2^1=60\times 2^{1+1+1+1}$
$=60\times 2^4$

So, number of bees after 4 hours will $\text{be}60\times 2^4.$