Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The average score of a batsman in 13 innings is 38. If the score in 14th and 15th innings are added, what will be the average? l. If the score in 14th innings was 55. ll. If the scores 15th innings was 12 Correct Answer BOTH the statements I and II TOGETHER are sufficient to answer the question, but NEITHER statements are ALONE sufficient Given: Average score of a batsman in 13 innings = 38 Number of innings = 13 Total score in 13 innings = 13 × 38 = 494 Statement I: Total score in 13 innings = 13 × 38 = 494 Score in 14th innings = 55 Total score till14 innings = (494 + 55) = 549 ∴ Statement I alone is not sufficient to answer the question asked Statement II: Total score in 13 innings = 13 × 38 = 494 Score in 15th innings = 12 ∴ Statement II alone is not sufficient to answer the question asked From Statement I and II: Total score in 13 innings = 13 × 38 = 494 Score in 14th innings = 55 Total score till14 innings = (494 + 55) = 549 Score in 15th innings = 12 Total score till15 innings = (549 + 12) = 561 ⇒ New average till the 15th innings = 561/15 = 37.4 ∴ BOTH the statements I and II TOGETHER are sufficient to answer the question, but NEITHER statements are ALONE sufficient