Bissoy.com
Doctors Medicines MCQs Q&A

A batsman scored 75 runs in his first innings, 22 in the second and 45 in the fifth innings. What are the runs scored by the batsman in 3rd innings if he scored 21 runs more in the fourth innings compared to the third innings and the average runs scored by the batsman is 45?  

A batsman scored 75 runs in his first innings, 22 in the second and 45 in the fifth innings. What are the runs scored by the batsman in 3rd innings if he scored 21 runs more in the fourth innings compared to the third innings and the average runs scored by the batsman is 45?   Correct Answer 31

Given:

The average runs scored by the batsman in 5 innings is 45

The score in 1st, 2nd and 5th innings is 75, 22 and 45 respectively.

He scores 21 runs more in 4th innings compared to 3rd innings

Concept Used:

Sum = Average × Number of observation

Calculation:

Total runs scored by the batsman = 45 × 5 = 225

Runs scored by batsman in third and fourth innings = 225 – (75 + 22 + 45) = 83 runs

Batsman scored 21 runs more in fourth innings compared to the third innings

⇒ Let the runs scored by batsman in third and fourth innings be x and x + 21 respectively 

∴ x + x + 21 = 83

⇒ 2x = 62

⇒ x = 31

∴ The runs scored by the batsman in 3rd innings is 31 

Related Questions

The average runs scored by Rohit in 7 innings is 68. In the next innings, he scores some runs such that his average becomes 72. In the 9th innings he scores 16 runs more than his previous innings and now average of his last 8 innings becomes equal to his average of first 7 innings. How many runs did he score in his 1st innings? 
After 11 innings, the average score per innings of a batsman is 52. After 13 innings, the average increased to 54. If the batsman scored 16 more runs in the 13th innings than the previous innings, then how many runs did he score in the 12th innings?
The average score of a batsman in 40 innings is 80. He played 10 more innings. If 72 is the score in his 50 innings. Which of the given statements is/are correct? I. Average score in next 10 innings is more than 72. II. Average score in next 10 innings is same as the number of innings initially. III. Total score of next 10 innings is a 3-digit number divisible by 16.
After 10 innings the average score per innings of a batsman was 52. After 12 innings the average rose to 54. If the batsman had scored 16 more runs in the 12th innings than in the previous one, how many runs did he score in the 11th innings?
The average run scored by a batsman in 20 innings was 40. He scored two back to back centuries (hundred in each) but in his 23rd innings he got out in a low score for that his final average after 23 innings is 45. How many runs did the batsman score in his 23rd innings?
In his cricket career, Rahul scored at an average of 36 runs in first 45 innings and in the next 50 innings he scored at an average of 24 runs. To score at an average of 32 runs in 100 innings at what average rate he must score in his last 5 innings?
Team A scored 368 runs in first innings and 458 runs in second innings. Team B scored 395 runs in first innings and 439 runs in second innings. Which team won the match and by how many runs?
Five batsmen play a match for the Mumbai Indians team. Quinton scored more runs than Rohit but less runs than Kishan. Pollard scored more runs than Hardik but lesser runs than Kishan. Quinton scored more runs than only one batsman. Hardik scored more than Quinton. Who among them scored the highest runs?
A batsman scored 84 runs in his 12th innings, thereby improving his average score per innings by 4 runs. What is the average score per innings of the batsman after the 12th innings?
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. In the last four years, a man donated 5%, 8%, 10% and 12% of his income respectively. He had also received an increment of 15%, 20% and 25% in the second, third and fourth year respectively. Quantity A: What is the percentage increase in his donation in second year as compared to the first year? Quantity B: What is the percentage increase in his donation in third year as compared to the second year? Quantity C: What is the percentage increase in his donation in fourth year as compared to the third year?