Multiple choice

Directions: In this problem, a question is given followed by three statements numbered I, II and III. Read the statements carefully and decide which of them is/are sufficient/required to answer the question. How many books were sold by Store A out of three stores, namely Store A, Store B, and Store C? Statements: I. On an average, the three stores sold 50 books every day. II. Every day, Store A sold 20 more books than Store C. III. The number of books sold by Store A was 10 more than the number of books sold by Store B.

  1. Only II

  2. Only III

  3. Only II and III

  4. All I, II and III
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Statement I gives the total sum of books sold by A, B, and C (50 * 3 = 150). Statement II relates A and C (A = C + 20). Statement III relates A and B (A = B + 10). With these three equations, we can solve for the number of books sold by Store A.

AI explanation

Statement I provides the total books sold per day by the three stores combined, calculated as 3 multiplied by 50 to equal 150 books. Statement II gives the relation between Store A and Store C, and statement III gives the relation between Store A and Store B. Using all three statements allows you to form a system of three equations with the three store totals, which is required to find the unique value for Store A, making all statements necessary.

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