Multiple choice

Directions: In this problem, a question is followed by statements marked (I), (II) and (III). Read the statements carefully and determine which of the given statements is/are sufficient/necessary to answer the question. Ajay bought 4 chairs and a table. How much money did he pay? I. Cost of 4 chairs was Rs. 200 more than the cost of a table. II. Costs of a chair and a table were in the ratio of 3 : 8. III. Cost of two chairs was Rs. 100 less than the cost of a table.

  1. All three statements

  2. Any two statements

  3. Only statements I and II

  4. Only statements II and III

  5. Only statements I and III
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let C be chair cost and T be table cost. We have 4C + T = Total. I: 4C = T + 200. II: C/T = 3/8. III: 2C = T - 100. Any two of these equations allow solving for C and T, thus finding the total cost.

AI explanation

Let the cost of a chair be c and the cost of a table be t; the goal is to find the value of 4c + t. Statement I provides the equation 4c = t + 200, statement II provides the ratio c/t = 3/8, and statement III provides the equation 2c = t - 100. Taking any two of these three statements allows you to solve for the individual values of c and t. Once the individual costs are found using any pair of equations, the total amount paid can be easily determined. Therefore, any two statements are sufficient to answer the question.

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