What should come in place of the x in the following question?

\(\frac{x}{{\sqrt {49} }} = \frac{{35 \times 4 - 40}}{2}\)

A 420

B 445

C 225

D 350

E None of these

Solution

Correct Answer: Option D

Follow BODMAS rule to solve this question, as per the order is given below,

Step - 1 - Parts of an equation enclosed in 'Brackets' must be solved first,

Step - 2 - Any mathematical 'Of' or 'Exponent' must be solved next,

Step - 3 - Next, the parts of the equation that contains 'Division' and 'Multiplication' are calculated,

Step - 4 - Last but not least, the parts of the equation that contains 'Addition' and 'Subtraction' should be calculated.

The given expression is

\(\begin{array}{l} \frac{x}{{\sqrt {49} }} = \frac{{35 \times 4 - 40}}{2}\\ \Rightarrow \frac{x}{7} = \frac{{140 - 40}}{2}\\ \Rightarrow \frac{x}{7} = \frac{{100}}{2}\\ \Rightarrow \frac{x}{7}\; = 50 \end{array}\)

⇒ x = 50 × 7

⇒ x = 350

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