"If the given symbols mean: '+' means 'divided by' '−' means 'multiplied by' '×' means 'minus' '÷' means 'plus' Then, find the value of the following expressions: 48 × 8 ÷ 12 + 4 − 7=?
- (a)16
- (b)37
- (c)51
- (d)61
Answer
Why
Correct — D.
Rule: replace each symbol with the operation it names, then apply BODMAS.
48 × 8 ÷ 12 + 4 − 7
becomes 48 − 8 + 12 ÷ 4 × 7
Divide first: 12 ÷ 4 = 3
Then multiply: 3 × 7 = 21
Then left to right: 48 − 8 + 21 = 61 → option (d).
Why the others are wrong
- (a)16 — 16 is below 40. After conversion the one subtraction is 48 − 8 = 40, and everything after it is added, so the value must be above 40.
- (b)37 — 37 is below 40, which cannot happen: 48 − 8 = 40 is the one subtraction, and 12 ÷ 4 × 7 = 21 is added to it.
- (c)51 — 51 would need 12 ÷ 4 × 7 to be 11. It is 3 × 7 = 21, so the total is 40 + 21 = 61.
Concept
Symbol-substitution items give a key that renames the operators. Rewrite the whole expression with the real operators first, then solve it with BODMAS: division and multiplication before addition and subtraction, each pair left to right.
Order matters. Working 48 − 8 + 12 ÷ 4 × 7 strictly left to right gives 91, which is not among the options.
Key facts
- Here + means ÷, − means ×, × means − and ÷ means +.
- BODMAS: brackets, orders, division and multiplication, then addition and subtraction.
- Division and multiplication rank equally and run left to right, as do addition and subtraction.
Study next
Common traps
- Converting correctly but then working left to right, which gives 91
- Converting some symbols and leaving a printed × or ÷ in place
19 Sep 2025, 09:00, Reasoning Q.23 runs the same drill on another key: 20 + 5 × 4 − 2 becomes 20 − 5 ÷ 4 × 2, keyed 17.5.
15 Sep 2025, 12:30, Reasoning Q.24 uses a different key, where − means +, and asks which equation is correct.
Related PYQs
No directly related past PYQ was found.