LIVE Course for free

Rated by 1 million+ students
Get app now
0 votes
26 views
in Aptitude by (30.0k points)
closed by
Sachin's batting average for 50 innings is 60 runs. His highest score exceeds his lowest score by 182 runs. If these two innings are excluded, the average of the remaining 48 innings is 58 runs. The lowest score made by Sachin in his inning is: 
1. 16
2. 17
3. 18
4. 29
5. None of these

1 Answer

0 votes
by (54.3k points)
selected by
 
Best answer
Correct Answer - Option 2 : 17

Given 

Average of 50 innings = 60 runs

Formula Used 

Average = sum of data/ No. of data

Calculation

So, the sum of 50 innings runs = 60 × 50 = 3000

Let the highest score of the innings = x

and the score of lowest innings = y

then, x – y = 182 runs -----(1)

According to the question 

when these two innings are excluded, the average of the remaining 48 innings = 58 runs

so, the sum of 48 innings runs = 58 × 48 = 2784

⇒ x + y = 3000 – 2784 = 216 runs

Now, x + y = 216 ----(2)

By solving both the eq , we get x = 199 runs  and y = 17 runs

∴ The lowest score is 17 runs.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...