Defence Exam  >  Defence Questions  >  A batsman has a certain average of runs for 1... Start Learning for Free
A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?
  • a)
    28
  • b)
    32
  • c)
    36
  • d)
    42
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A batsman has a certain average of runs for 12 innings. In the 13th in...
Let the average for 12 innings be 'a' and total runs be 't'
Therefore a = t/12
12a = t
12a – t = 0        ----(1)
Now the new average after 13 innings,
a + 5 = t + 96/13
13a + 65 = t + 96
13a – t = 31         ----(2)
Solving (1) and (2),
a = 31 and t = 372
∴ The average after 13 innings = a + 5 = 36
View all questions of this test
Most Upvoted Answer
A batsman has a certain average of runs for 12 innings. In the 13th in...
Given Information:
The batsman has a certain average of runs for 12 innings.
In the 13th inning, he scores 96 runs, increasing his average by 5 runs.

Calculating the Previous Average:
Let the previous average of the batsman be x.
Total runs scored in 12 innings = 12x

Calculating the New Average:
After the 13th inning, the total runs scored by the batsman becomes 12x + 96.
His new average becomes (12x + 96) / 13.

Given Condition:
The new average is 5 runs more than the previous average.
So, we have the equation:
(12x + 96) / 13 = x + 5

Solving the Equation:
12x + 96 = 13x + 65
96 - 65 = 13x - 12x
31 = x

Calculating the New Average:
Substitute x = 31 into the new average formula:
(12*31 + 96) / 13
(372 + 96) / 13
468 / 13
36
Therefore, the batsman's average after the 13th inning will be 36 runs. So, the correct answer is option C.
Explore Courses for Defence exam
A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?a)28b)32c)36d)42Correct answer is option 'C'. Can you explain this answer?
Question Description
A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?a)28b)32c)36d)42Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?a)28b)32c)36d)42Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?a)28b)32c)36d)42Correct answer is option 'C'. Can you explain this answer?.
Solutions for A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?a)28b)32c)36d)42Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence. Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?a)28b)32c)36d)42Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?a)28b)32c)36d)42Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?a)28b)32c)36d)42Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?a)28b)32c)36d)42Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A batsman has a certain average of runs for 12 innings. In the 13th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?a)28b)32c)36d)42Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Defence tests.
Explore Courses for Defence exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev