If the sum of 42 and 42 is multiplied by 4, what is the result?
- (a)332
- (b)336
- (c)340
- (d)348
Answer
Why
Correct — B. The words fix the order: find the sum, then multiply it.
Rule: (42 + 42) × 4, sum first.
42 + 42 = 84
84 × 4 = 80 × 4 + 4 × 4 = 320 + 16 = 336
That is option (b).
Why the others are wrong
- (a)332 — 332 = 83 × 4, the product for a sum of 83. The sum of 42 and 42 is 84, which gives 336.
- (c)340 — 340 = 85 × 4, the product for a sum of 85. The sum is 84, one less, so the product is 4 less.
- (d)348 — 348 = 87 × 4, the product for a sum of 87. It overshoots 84 × 4 = 336 by 12.
Concept
Word-form arithmetic states the order of operations in words. 'The sum of 42 and 42 is multiplied by 4' means (42 + 42) × 4: add first, then multiply.
A last-digit check saves the multiplication: 4 × 4 = 16, so the product must end in 6, and 336 is the option that does.
Without the bracket, BODMAS would read 42 + 42 × 4 as 42 + 168 = 210. The phrase 'the sum of ... is multiplied' is what puts the bracket in.
Key facts
- 'The sum of x and y multiplied by n' means (x + y) × n.
- (42 + 42) × 4 = 84 × 4 = 336.
- The last digit of 84 × 4 is the last digit of 4 × 4, which is 6.
Study next
Common traps
- Multiplying before adding: 42 + 42 × 4 = 210, which is not offered.
- Slipping by one in the sum, 83 or 85, and landing on 332 or 340.
The same one-line frame is at 12 Sep 2025, 12:30, Reasoning Q.25, where (28 + 22) × 8 = 400, and at 18 Sep 2025, 09:00, Reasoning Q.24, where (31 + 19) × 9 = 450.
Related PYQs
No directly related past PYQ was found.