Multiple choice

Directions: The question below is followed by statements I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and choose the correct alternative. What is the student's overall average in four subjects? (A) The weightages of the subjects are: Science - 4, Maths - 5, Physics - 3 and Biology - 1. (B) He obtained 28 in Science, 94 in Maths, 71 in Physics and 76 in Biology.

  1. Statement (A) alone is sufficient, but statement (B) alone is not sufficient.

  2. Statement (B) alone is sufficient, but statement (A) alone is not sufficient.

  3. Both (A) and (B) together are sufficient, but neither of them alone is sufficient.

  4. Each statement alone is sufficient.

  5. Statements (A) and (B) together are not sufficient.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To find the weighted average, you need both the weights (Statement A) and the individual scores (Statement B). Neither provides enough information on its own.

AI explanation

The overall average requires calculating a weighted mean, which is the sum of the products of marks and their respective weightages divided by the sum of the weightages. Statement A provides the necessary weightages, while statement B provides the marks obtained in each subject. Because both the weights and the scores are needed to compute the final result, both statements together are sufficient, but neither one alone is sufficient.

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