Subject: General Aptitude · Chapter: Average · Exam: 2006 · Marks: · Difficulty:
The batting average for 40 innings of a cricket player is 50 runs. His highest score in an innings exceeds his lowest score by 172 runs. If these two innings are excluded, the average score of the remaining 38 innings is 48 runs. Find his highest score in an innings.
Answer
Answer (as printed):
Explanation
Let the highest score be x. Then, lowest score = (x – 172). \ x + (x – 172) = 50 × 40 – 48 × 38 ⇒ 2x – 172 = 2000 – 1824 = 176 ⇒ 2x = 348 ⇒ x = 174. Hence, highest score in an innings = 174.
Explanation as extracted from the printed page; notation may be imperfect.