Question

In the expression $24-[2.4-\{0.24-(0.024-x)\left\}\right]=21.8184$, the value of x is

• A. $0.0024$
• B. $0.024$
• C. $0.24$
• D. $2.4$

Answer 1

The correct option is A $0.0024$

We solve the given expression as follows:

$24-[2.4-\{0.24-(0.024-x)\}]=21.8184\Rightarrow 24-[2.4-\{0.24-0.024+x\}]=21.8184\Rightarrow 24-[2.4-\{0.216+x\}]=21.8184\Rightarrow 24-[2.4-0.216-x]=21.8184$

$\Rightarrow 24-[2.184-x]=21.8184\Rightarrow 24-2.184+x=21.8184\Rightarrow 21.816+x=21.8184\Rightarrow x=21.8184-21.816\Rightarrow x=0.0024$

Hence, $x=0.0024$