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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? – OGQR 2020 Question #207 with Solution

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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?

  1. The number of first editions published was 50 more than twice the number of reprints published.
  2. 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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