By interchanging the given two signs which of the following equation will be NOT correct? + and − I. 18 ÷ 3 + 8 × 5 − 4 = 20 II. 6 + 8 × 9 ÷ 3 − 4 = 14
- (a)Neither I nor II
- (b)Both I and II
- (c)Only II
- (d)Only I
Answer
Why
Correct — B.
Rule: swap + and − in each equation, then evaluate with BODMAS.
I: 18 ÷ 3 − 8 × 5 + 4
= 6 − 40 + 4
= −30, not 20 ✗
II: 6 − 8 × 9 ÷ 3 + 4
= 6 − 24 + 4
= −14, not 14 ✗
Both are NOT correct → option (b).
Why the others are wrong
- (a)Neither I nor II — Neither I nor II would mean both equations hold after the swap. I comes to −30 and II to −14, so both fail.
- (c)Only II — Only II leaves out I. After the swap I gives 6 − 40 + 4 = −30, far from 20, so it fails too.
- (d)Only I — Only I treats II as correct. II gives −14, not 14; dropping the minus sign is what makes it look right.
Concept
This item asks which equations become NOT correct after swapping + and −. Rewrite each equation with the signs exchanged, evaluate with BODMAS, and compare with the printed right side.
The negative wording is the main hazard. Here 'Neither I nor II' means both equations hold, and 'Both I and II' means both fail.
II is where a sign slip hurts: the swap gives −14 and the printed right side is 14, so a dropped minus turns a fail into a pass.
Key facts
- BODMAS: × and ÷ left to right before + and −.
- 8 × 9 ÷ 3 = 72 ÷ 3 = 24.
- −14 and 14 are different values: the sign is part of the result.
Study next
Common traps
- Dropping the minus in −14 and passing II as correct
- Reading Neither I nor II as neither is correct, when the question asks which are NOT correct
9 Sep 2024, 09:00, Reasoning Q.8 swaps + with − and × with ÷ before evaluating: 5 – 4 ÷ 9 + 80 × 10 becomes 5 + 4 × 9 − 80 ÷ 10 = 33 (keyed b).
18 Sep 2025, 12:30, Reasoning Q.8 turns it round and asks which pair to swap.
Related PYQs
No directly related past PYQ was found.