The given table shows the number of bananas produced by five farms over 4 years. Year → Farm: L | M | N | O | P 2020 — 17,500 | 14,180 | 16,300 | 17,405 | 15,805 2021 — 11,200 | 13,900 | 14,600 | 15,304 | 16,207 2022 — 12,300 | 17,652 | 14,800 | 15,150 | 16,404 2023 — 14,650 | 15,558 | 17,465 | 14,185 | 15,450 What is the respective ratio of the dozens of bananas produced by farm M to farm P in the year 2022?

- (a)1331 : 1230
- (b)1367 : 1471
- (c)1471 : 1367
- (d)1230 : 1331
Answer
Why
Correct — C. The figure is a table of bananas produced by farms L, M, N, O and P in 2020, 2021, 2022 and 2023, and the stem asks for the ratio of the dozens produced by M to P in 2022.
Read the 2022 row: M = 17,652, P = 16,404.
One dozen is 12, so divide each count:
17652 ÷ 12 = 1471
16404 ÷ 12 = 1367
M : P = 1471 : 1367 → option (c)
Both counts take the same divisor, so the ratio itself is unchanged by the conversion — but the options are printed in dozens, so you divide to recognise them.
Why the others are wrong
- (a)1331 : 1230 — Neither figure is a twelfth of a 2022 entry: 1331 × 12 = 15,972 and 1230 × 12 = 14,760, and neither of those counts appears anywhere in the table.
- (b)1367 : 1471 — Right numbers, wrong order. The stem asks M to P, and M's 17,652 is the larger count, so 1471 has to come first. This is 1367 : 1471, which answers P to M.
- (d)1230 : 1331 — This is option (a) reversed, and the reversal does not rescue it — 1230 and 1331 are still not twelfths of the 2022 counts 17,652 and 16,404.
Concept
Two steps, and the table hides the second. First locate the cell: the year is a row, the farm is a column, and the header is split, with a single Farm band sitting over the five sub-columns L to P.
Then convert. Dozens means divide by 12. Because both terms take the same divisor, the ratio is mathematically untouched — 17,652 : 16,404 is already 1471 : 1367.
So the division is not what changes the answer; it is what lets you match the answer against the printed options.
The four options are two pairs, each pair given in both orders. That layout punishes only two things: reading the wrong row, and writing the ratio the wrong way round.
Key facts
- In 2022 farm M produced 17,652 bananas and farm P produced 16,404.
- One dozen is 12, so 17,652 bananas is 1,471 dozen.
- 16,404 ÷ 12 = 1,367.
- Dividing both terms of a ratio by the same number leaves the ratio unchanged.
Study next
Common traps
- Taking the 2023 row, where M is 15,558 and P is 15,450, instead of 2022.
- Writing the ratio as P to M when the stem names M first.
- Skipping the division and hunting for 17,652 : 16,404 among the options.
A table item lays one operation on top of the reading, and that operation is what is really being tested. Here it is a conversion to dozens.
At 11 Sep 2024, 16:00, Quant Q.17 the added operation is an average over five rows of a distance table. At 11 Sep 2024, 16:00, Quant Q.22 an export condition is laid over a five-company import table.
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