If 'x' means 'additions', '–' means 'division', '÷' means 'subtraction' and…
2017
If 'x' means 'additions', '–' means 'division', '÷' means 'subtraction' and '+' means 'multiplication', then what will be the value of 16 + 5 – 10 × 6 ÷ 3 = ?
- A.
8
- B.
11
- C.
15
- D.
9
Attempted by 7 students.
Show answer & explanation
Correct answer: B
Concept: In a symbol-substitution problem, the printed operator symbols are redefined. First REPLACE every symbol with the operation it now stands for, rewrite the whole expression, and only then evaluate using the standard order of operations (BODMAS: Brackets, Order, Division/Multiplication left-to-right, then Addition/Subtraction left-to-right).
Read the given key: 'x' (times) = addition, '–' = division, '÷' = subtraction, '+' = multiplication.
Substitute each symbol in 16 + 5 – 10 × 6 ÷ 3. It becomes 16 × 5 ÷ 10 + 6 − 3.
Apply BODMAS to the rewritten expression. Do division and multiplication first, left to right: 16 × 5 = 80, then 80 ÷ 10 = 8.
Now do addition and subtraction, left to right: 8 + 6 = 14, then 14 − 3 = 11.
Cross-check: re-substitute back — multiply 16 and 5 to get 80, divide by 10 to get 8, add 6 to get 14, subtract 3 to get 11. The value is 11.