Multiple choice

Directions: In the question below use given statements A B and C to solve. Than mark which of the following statements is/are sufficient/necessary to solve question. What is the cost of 3 chairs, 4 tables and 5 benches? A. The ratio of the cost of a chair and table is 3 : 8. B. The ratio of the cost of a bench and a table is 5 : 3. C. The cost of one chair and two tables is Rs 6000.

  1. A or B or C

  2. A and B or C

  3. A or B and C

  4. A and B and C

  5. None of these
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

We have three variables: C (chair), T (table), B (bench). We need to find 3C + 4T + 5B. Statement A gives C/T = 3/8. Statement B gives B/T = 5/3. Statement C gives C + 2T = 6000. With A and B, we can express C and B in terms of T. With C, we can solve for T, then find C and B. All three are necessary.

AI explanation

Let the costs of a chair, table, and bench be variables, meaning we need three distinct equations to find their values. Statements A and B provide two separate relationships between the items, while statement C provides the third necessary equation. Therefore, all three statements A, B, and C are required to solve the system of equations for the individual costs.

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