OGQR 2020: Question No. 207
Last year Publisher X published 1,100 books, consisting of first editions, revised editions, and reprints. How many first editions did Publisher X publish last year?
- The number of first editions published was 50 more than twice the number of reprints published.
- The number of revised editions published was half the number of reprints published.
| Source | OGQR 2020 |
| Type | Data Sufficiency |
| Topic | Algebra |
| Sub-Topic | Linear Equations |
| Difficulty | Easy |
Solution
Steps 1 & 2: Understand Question and Draw Inferences
We are given that:
- Last year publisher X published 1,100 books, consisting of first editions, revised editions, and reprints.
- Number of First edition + Revised Editions + Reprints published = 1100
We need to find:
- The number of first editions published by publisher X last year.
Since we do not have any relevant information to infer from, let us now analyse the individual statements.
Step 3: Analyse Statement 1
“The number of first editions published was 50 more than twice the number of reprints published.”
- Number of First Editions = 2 × Number of reprints published + 50
However, from this statement we cannot find the number of first editions as we do not know the number of reprints published.
Thus, statement 1 is not sufficient to answer the question.
Step 4: Analyse Statement 2
“The number of revised editions published was half the number of reprints published.”
- Number of revised editions = 1/2 (Number of reprints published)
- Number of reprints published = 2 × Number of revised editions
However, from this statement we cannot find the number of first editions.
Thus, statement 2 is not sufficient to answer the question.
Step 5: Combine Both Statements Together (If Needed)
From Statement 1:
- Number of First Editions = 2 × Number of reprints published + 50
From Statement 2:
- Number of reprints published = 2 × Number of revised editions
So, we have the number of first editions published and number of revised editions published in terms of number of reprints published.
- Hence, we can substitute these in the equation: “Number of First edition + Revised Editions + Reprints published = 1100” and we can find the number of reprints published.
- And, then we can find the number of first editions published.
Hence, we can find the answer by combining both the statements together.
- Thus, the correct answer choice is option C.
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