model 9 average on cricket/exam Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 9 EXERCISES

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The following question based on average topic of quantitative aptitude

Questions : A cricketer whose bowling average is 12.4 runs per wicket, takes 5 wickets for 26 runs and thereby decreases his average by 0.4. The number of wickets taken by him till the last match was

(a) 72

(b) 85

(c) 64

(d) 80

The correct answers to the above question in:

Answer: (b)

Required number of wickets = x (let)

According to question,

12.4 × x + 26 = (x + 5) (12.4 – 0.4) = (x + 5) × 12

⇒ 12.4x + 26 = 12x + 60

⇒ 12.4x – 12x = 60 – 26

⇒ 0.4x = 34

⇒ x = $34/{0.4}$ = $340/4$ = 85

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Question : 1

The averages of runs scored by a cricket player in 11 innings is 63 and the average of his first six innings is 60 and the average of last six innings is 65. Find the runs scored by him in the sixth innings.

a) 54

b) 57

c) 60

d) 67

Answer: (b)

Runs scored by the cricketer in the 6th innings

= 6 × 60 + 6 × 65 – 11 × 63

= 360 + 390 – 693 = 57

Question : 2

A batsman in his 12th innings makes a score of 63 runs and there by increases his average scores by 2. What is his average after the 12th innings?

a) 39

b) 87

c) 13

d) 49

Answer: (a)

Extra runs = 12 × 2 = 24

∴ Required average = 63 – 24 = 39

Question : 3

A cricketer had a certain average of runs for his 64 innings. In his 65th innings, he is bowled out for no score on his part. This brings down his average by 2 runs. His new average of runs is

a) 128

b) 68

c) 130

d) 70

Answer: (a)

Let the cricketer’s average of runs for his 64 innings be x runs.

∴ Total number of runs in 64 innings = 64x

According to the question,

${64x+0}/65$ = x-2

⇒ 64x = 65x – 130

⇒ x = 130

∴ New average of runs = x – 2

= 130– 2 = 128

Question : 4

A batsman makes a score of 87 runs in the 17th innings and thus increased his average by 3. Find his average after 17th innings.

a) 87

b) 84

c) 39

d) 90

Answer: (c)

Average runs in 16 innings = 87 – 17 × 3 = 87 – 51 = 36

∴ Required average = 36 + 3 = 39 runs

Question : 5

A cricketer has a certain average of runs for his 8 innings. In the ninth innings, he scores 100 runs, thereby increases his average by 9 runs. His new average of runs is

a) 24

b) 32

c) 20

d) 28

Answer: (d)

Let the average of runs of the cricketer in 8 innings be x .

According to the question,

${8x+100}/9$=x+9

⇒ 8x + 100 = 9x + 81

⇒ x = 100 – 81 = 19

∴ New average of runs = 19 + 9 = 28

Question : 6

A cricketer has a mean score of 60 runs in 10 innings. Find out how many runs are to be scored in the eleventh innings to raise the mean score to 62?

a) 82

b) 81

c) 83

d) 80

Answer: (a)

Required runs = 60 + 11 × 2 = 82 runs

Aliter : Using Rule 18,

If in the group of N persons, a new person comes at the place of a person of 'T’ years, so that average age,

increases by 't’ years

Then, the age of the new person = T + N.t.

Here, T = 60, N = (10 + 1) t = 62 – 60 = 2

Required Runs = T + Nt

= 60 + 11 × 2 = 82

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