What approximate value should come in the place of question mark (?) in the following question?

1.99 × [2.93 of 6.87 ÷ 4.14 ÷ {(1.92 ÷ 4.95) × (24.95 ÷ 7.8) ÷ (4.95 ÷ 2.24)}] = ?

Option 5 : 21

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

Step - 1: Parts of an equation enclosed in 'Brackets' must be solved first, and follow BODMAS rule in the bracket,

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

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

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

Since, we need to find out the approximate value,

So, we can write these values to their nearest integers.

Given expression is

1.99 × [2.93 of 6.87 ÷ 4.14 ÷ {(1.92 ÷ 4.95) × (24.95 ÷ 7.8) ÷ (4.95 ÷ 2.24)}] = ?

⇒ 2 × [3 of 7 ÷ 4 ÷ {(2 ÷ 5) × (25 ÷ 8) ÷ (5 ÷ 2)}] = ?

⇒ 2 × [3 of 7 ÷ 4 ÷ {(2/5) × (25/8) ÷ (5/2)}] = ?

⇒ 2 × [3 of 7 ÷ 4 ÷ {(2/5) × (5/4)}] = ?

⇒ 2 × [3 of 7 ÷ 4 ÷ 1/2] = ?

⇒ 2 × [21 ÷ 4 ÷ 1/2] = ?

⇒ 2 × [21/2] = ?

⇒ 21 = ?