"If the given symbols mean: '+' means 'divided by' '-' means 'multiplied by' 'x' means 'minus' '÷' means 'plus' Then, find the value of the following expressions: 40 x 5 ÷ 8 + 16 - 2=?
- (a)56
- (b)27
- (c)48
- (d)36
Answer
Why
Correct — D.
Rule: replace every sign first, then apply BODMAS.
40 x 5 ÷ 8 + 16 - 2
→ 40 − 5 + 8 ÷ 16 × 2
Division: 8 ÷ 16 = 0.5
Multiplication: 0.5 × 2 = 1
Left to right: 40 − 5 + 1 = 36 → option (d).
Why the others are wrong
- (a)56 — 56 is too large. After substitution the terms are 40, −5 and 8 ÷ 16 × 2 = 1, and 40 − 5 + 1 comes to only 36.
- (b)27 — 27 is 35 − 8, which subtracts the 8. But '÷' means plus, and the 8 is first divided by 16 and doubled: 35 + 1 = 36.
- (c)48 — 48 would need the 8 ÷ 16 × 2 term to add 13. By BODMAS, 8 ÷ 16 = 0.5 and 0.5 × 2 = 1, so the total is 35 + 1 = 36.
Concept
A symbol-substitution item changes what each sign means. Rewrite the whole expression in true signs before doing any arithmetic.
Then apply BODMAS: division and multiplication from left to right, then addition and subtraction.
Here the rewrite is 40 − 5 + 8 ÷ 16 × 2. The division leaves a fraction, 8 ÷ 16 = 0.5, and the multiplication turns it back into a whole number, 1.
Key facts
- Here '+' means ÷, '-' means ×, 'x' means − and '÷' means +.
- BODMAS takes division and multiplication, left to right, before addition and subtraction.
- 8 ÷ 16 × 2 = 0.5 × 2 = 1.
Study next
Common traps
- Working left to right after substituting: 40 − 5 + 8 = 43, then 43 ÷ 16 × 2 = 5.375
- Substituting some signs and reading the rest at face value
The same four-symbol key is used at 15 Sep 2025, 12:30, Reasoning Q.23: 48 × 8 ÷ 12 + 4 − 7 becomes 48 − 8 + 12 ÷ 4 × 7, keyed 61.
Related PYQs
No directly related past PYQ was found.