Question: How many New Year's greeting cards were sold this year in your shop…
2023
Question: How many New Year's greeting cards were sold this year in your shop ? Statements: Last year 2935 cards were sold. The number of cards sold this year was 1.2 times that of last year.
- A.
I alone is sufficient while II alone is not sufficient
- B.
II alone is sufficient while I alone is not sufficient
- C.
Either I or II is sufficient
- D.
Both I and II are sufficient
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Concept: In Data Sufficiency, a statement is sufficient on its own only if it lets you calculate a single, unique value for what the question asks. If a statement gives a quantity that still depends on an unknown, or gives only a relationship between two unknown quantities, it cannot answer the question by itself.
Applying this here:
The question asks for the exact number of cards sold this year.
Statement I gives last year's count (2935) but says nothing about how this year compares to last year, so this year's count cannot be pinned down from it alone.
Statement II gives only the multiplier connecting the two years (this year = 1.2 x last year) but no actual base count, so no specific number follows from it alone.
Combining both: this year's count = 2935 x 1.2 = 3522, a single determinate value.
Cross-check: dividing the combined result by last year's count, 3522 / 2935 = 1.2, which matches the multiplier in Statement II, confirming the calculation.
Since neither statement alone fixes a unique value but the two together do, the correct choice is that both statements are sufficient.