What approximate value should come in place of the question mark (?) in the following question? 32.99 × 3.98 + (5.01)2 - 75.02 ÷ 14.99 + ? = 159.99
What approximate value should come in place of the question mark (?) in the following question? 32.99 × 3.98 + (5.01)2 - 75.02 ÷ 14.99 + ? = 159.99 Correct Answer 8
Given:
32.99 × 3.98 + (5.01)2 - 75.02 ÷ 14.99 + ? = 159.99
Rules of Approximation:
1. If a number has digits to the right of the decimal less than 5, then just drop the digits to the right of the decimal. The number so obtained will be the approximated value.
2. If a number has digits to the right of the decimal more than 5, then just drop the digits to the right of the decimal and raise the remaining number by '1'. The number so obtained will be the approximated value.
Concept used:
Follow the BODMAS rule according to the table given below:
[ alt="BODMAS" src="//storage.googleapis.com/tb-img/production/21/05/BODMAS.png" style="width: 440px; height: 247px;">
Calculation:
32.99 × 3.98 + (5.01)2 - 75.02 ÷ 14.99 + ? = 159.99
⇒ 33 × 4 + 52 - 75 ÷ 15 + ? = 160
⇒ 132 + 25 - 5 + ? = 160
⇒ 152 +? = 160
⇒ ? = 160 - 152
⇒ ? = 8
∴ 8 should come in place of the question mark (?).
