"If the given symbols mean: '+' means 'divided by' '-' means 'multiplied by' 'x' means 'minus' '÷' means 'plus' Then, find the value of the following expressions: 8 ÷ 2 x 3 + 18 - 6=?
- (a)9
- (b)11
- (c)13
- (d)15
Answer
Why
Correct — A.
Rule: swap every sign for its meaning first, then apply BODMAS.
8 ÷ 2 × 3 + 18 − 6 becomes
8 + 2 − 3 ÷ 18 × 6
3 ÷ 18 = 1⁄6, then 1⁄6 × 6 = 1
8 + 2 − 1 = 9 → option (a)
Why the others are wrong
- (b)11 — 11 is 8 + 2 + 1: it adds the last term. The stem says '×' means minus, so after substitution the 1 is subtracted: 10 − 1 = 9.
- (c)13 — 13 would need 3 added to 8 + 2. But the 3 is first divided by 18 and multiplied by 6, leaving 1, and that 1 is subtracted.
- (d)15 — 15 would need the part after 8 + 2 to add 5. That part, 3 ÷ 18 × 6, equals 1 and is subtracted, giving 9.
Concept
A sign-substitution question has two stages: rewrite the expression with the new signs, then evaluate it by BODMAS.
Division and multiplication rank equally and are done left to right: 3 ÷ 18 × 6 is (3 ÷ 18) × 6 = 1, not 3 ÷ 108.
The + and − act last: 8 + 2 − 1 = 9.
Key facts
- Here + means ÷, − means ×, × means − and ÷ means +.
- ÷ and × rank equally and are worked left to right.
- The substituted expression 8 + 2 − 3 ÷ 18 × 6 equals 9.
Study next
Common traps
- Grouping 18 × 6 first (3 ÷ 108), which gives a value just under 10 that matches no option.
- Evaluating before substituting, which mixes the old signs with the new ones.
The same four swaps are set at 15 Sep 2025, 12:30, Reasoning Q.23 on 48 × 8 ÷ 12 + 4 − 7, keyed 61, and at Reasoning Q.25 of this paper on 36 + 6 − 2 × 3, keyed 9.
Related PYQs
No directly related past PYQ was found.