If the sum of 11 and 40 is multiplied by 5, what is the result?
- (a)240
- (b)255
- (c)265
- (d)270
Answer
Why
Correct — B.
Rule: find the sum first, then multiply it.
Sum: 11 + 40 = 51
Multiply: 51 × 5 = 255 → option (b).
Check by distributing: 11 × 5 + 40 × 5 = 55 + 200 = 255.
Why the others are wrong
- (a)240 — 240 is 48 × 5. It needs the sum to be 48, but 11 + 40 = 51.
- (c)265 — 265 is 53 × 5. It needs a sum of 53, but 11 + 40 = 51.
- (d)270 — 270 is 54 × 5, which needs a sum of 54. The sum is 51, so the product is 255.
Concept
The wording sets the order: the sum of 11 and 40 is multiplied by 5 means (11 + 40) × 5, with the sum in brackets.
Without the brackets, 11 + 40 × 5 would follow BODMAS and give 11 + 200 = 211, a different number. Turning the words into brackets is the step that decides the item.
All four options are multiples of 5 (240 = 5 × 48, 265 = 5 × 53, 270 = 5 × 54), so a divisibility check cannot separate them. The sum has to be right.
Key facts
- The sum of a and b multiplied by c is (a + b) × c.
- (11 + 40) × 5 = 51 × 5 = 255.
- Multiplication distributes over addition: (a + b) × c = a × c + b × c.
Study next
Common traps
- Dropping the brackets and computing 11 + 40 × 5 = 211
12 Sep 2025, 12:30, Reasoning Q.25 is the same template: the sum of 28 and 22 multiplied by 8, keyed 400.
18 Sep 2025, 09:00, Reasoning Q.24 asks for the sum of 31 and 19 multiplied by 9, keyed 450.
Related PYQs
No directly related past PYQ was found.