model 9 average on cricket/exam Practice Questions Answers Test with Solutions & More Shortcuts

Question : 26

A cricketer, whose bowling average was 12.4 runs/wicket takes 5 wickets for 22 runs in a match, thereby decreases his average by 0.4. The number of wickets, taken by him before this match was :

a) 87

b) 105

c) 78

d) 95

Answer: (d)

Let the number of wickets before the last match be x.

According to the question,

12.4x + 22 = (x + 5 ) × 12

⇒ 12.4x + 22 = 12x + 60

⇒ 12.4x – 12x = 60 – 22

⇒ 0.4x = 38

⇒ x = $38/{0.4}$ =$380/4$ = 95

Question : 27 [SSC CGL Tier-II 2016]

The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of the player is

a) 170

b) 174

c) 165

d) 172

Answer: (b)

Let the highest score of cricketer be x runs.

∴ His lowest score = (x – 172) runs

According to the question, 38 × 48 + x + x – 172 = 40 × 50

⇒ 1824 – 172 + 2x = 2000

⇒ 1652 + 2x = 2000

⇒ 2x = 2000 – 1652 = 348

∴ x = 348 2 = 174 runs

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