Select the CORRECT sequence of mathematical signs to sequentially replace the A and B to balance the given equation. 15 A 5 B 4 = 35
- (a)×, −
- (b)÷, −
- (c)+, ×
- (d)÷, ×
Answer
Why
Correct — C.
Rule: put each option's signs in, then do × and ÷ before + and − (BODMAS).
With A = + and B = ×:
15 + 5 × 4
= 15 + 20
= 35, as required → option (c).
Why the others are wrong
- (a)×, − — ×, − gives 15 × 5 − 4 = 75 − 4 = 71, not 35. Multiplying 15 by 5 first makes the total far too large.
- (b)÷, − — ÷, − gives 15 ÷ 5 − 4 = 3 − 4 = −1, not 35. Dividing first shrinks 15 to 3 before 4 is even used.
- (d)÷, × — ÷, × gives 15 ÷ 5 × 4 = 3 × 4 = 12, not 35. Division and multiplication share a rank and run left to right.
Concept
A sign-substitution item gives the numbers and the result and asks for the operators. Put each option's pair of signs into the blanks and evaluate with the order of operations: × and ÷ first, left to right, then + and −.
The order matters here. Under BODMAS, 15 + 5 × 4 is 35; worked strictly left to right it would be (15 + 5) × 4 = 80.
A quick screen helps. Any option that starts with ÷ turns 15 into 3 before the 4 is used, and 3 with 4 cannot reach 35. That leaves options (a) and (c) to evaluate in full.
Key facts
- BODMAS: brackets, orders, then division and multiplication, then addition and subtraction.
- 15 + 5 × 4 = 15 + 20 = 35, not (15 + 5) × 4 = 80.
- × and ÷ are worked left to right: 15 ÷ 5 × 4 = 3 × 4 = 12.
Study next
Common traps
- Working left to right without BODMAS, which turns 15 + 5 × 4 into 80
- Doing × before ÷ in 15 ÷ 5 × 4, which gives 15 ÷ 20 instead of 12
18 Sep 2025, 12:30, Reasoning Q.7 is the two-sign version with symbols: 16 # 4 @ 2 = 62, keyed ×, − (option c).
25 Sep 2024, 09:00, Reasoning Q.9 has three blanks: 75 _ 3 _ 17 _ 8 = 0, keyed ÷, −, − (option a).
Related PYQs
No directly related past PYQ was found.