Explore Exams
Login Signup
Sign in Open App
CAT Exam  >  CAT Test  >  Level-wise Tests  >  Test Level 2: Averages - 1 - CAT MCQ

Test Level 2: Averages - 1 CAT MCQs & solutions - Free


MCQ Practice Test & Solutions: Test Level 2: Averages - 1 (10 Questions)

You can prepare effectively for CAT Level-wise Tests for CAT with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test Level 2: Averages - 1". These 10 questions have been designed by the experts with the latest curriculum of CAT 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

Sign up on EduRev for free to attempt this test and track your preparation progress.

Test Level 2: Averages - 1 - Question 1
Save

The average score of a cricketer in a certain number of innings is 15. When he scores zero in the next innings, his average drops to 13.5. How many innings have been played by him, including the last one?

Detailed Solution: Question 1

Let the number of innings be x.
Total runs scored by the cricketer = 15x
New number of innings = x + 1
Also, new average = 13.5

15x = 13.5(x + 1)
15x = 13.5x + 13.5
15x - 13.5x = 13.5
1.5x = 13.5

Number of innings played, including the last one = 9 + 1 = 10

Test Level 2: Averages - 1 - Question 2
Save

The average of three distinct positive integers is 11. What can be the maximum possible value that the greatest number of these three can take?

Detailed Solution: Question 2

To get the greatest possible value for one number, the other two should be as small as possible sum of the three numbers = 33.

Since the numbers are positive distinct integers, the two numbers can be 1 and 2.

So, the third will be 30, which is the maximum possible value.

Clear all your doubts with EduRev
Test Level 2: Averages - 1 - Question 3
Save

The average of 3 numbers is x. If the second number is 9 more than the first and the third number is 5 more than x, then what is the difference between x and the first number?

Detailed Solution: Question 3

Let a, b and c be the three numbers.
a + b + c = 3x
b = 9 + a and c = x + 5

a + a + 9 + x + 5 = 3x
2a + 14 = 2x
∴ x - a = 7

Test Level 2: Averages - 1 - Question 4
Save

In a History test, the boys' average is 86 points and the girls' average is 80 points. If the overall average of the class is 82 points, what is the ratio of the number of boys to that of girls in the class?

Detailed Solution: Question 4

Let the number of boys in the class be 'b' and the girls be 'g'.

Now, as the average score is 82, we have (86b + 80g)/(b + g) = 82
86b + 80g = 82b + 82g
4b = 2g
b/g = 1/2

Thus the required ratio is 1 : 2.
Hence, answer option (4) is correct.

Test Level 2: Averages - 1 - Question 5
Save

A certain company employed 600 men and 400 women and the average wage was Rs. 2.55 per day. If a woman got 50 paise less than what a man got, then what were their daily wages?

Detailed Solution: Question 5

Total employees = 600 + 400 = 1000
Total income at an average Rs. 2.55/day = 2.55 × 1000 = Rs. 2550 per day
Let the daily wage of a man be Rs. x.
Then, their total wages = Rs. 600x
A woman got 50 paise less than a man.
∴ Their total wages = 400(x - 0.5)
⇒ 600x + 400(x - 0.5) = 2550
⇒ 600x + 400x - 200 = 2550
⇒ 1000x = 2750
⇒ x = Rs. 2.75
∴ Man`s daily wage = Rs. 2.75
Woman`s daily wage = 2.75 - 0.50 = Rs. 2.25

Test Level 2: Averages - 1 - Question 6
Save

What is the average of all the two-digit numbers that are divisible by 3, 6 and 9?

Detailed Solution: Question 6

Numbers that are divisible by 3, 6 and 9 = Multiple of L.C.M(3, 6, 9) = 18, 36, 54,......
The required numbers are 18, 36, 54, … and 90.

Test Level 2: Averages - 1 - Question 7
Save

The average of n consecutive numbers is 'a'. If any one number is deleted from these 'n' numbers, then the average of the remaining (n – 1) numbers cannot be less than

Detailed Solution: Question 7

Let x, x + 1, x + 2, ...., (x + n) be n consecutive integers, then their sum is


as it is starting from 0 + 1 + 2 + 3 +  ..  . . .+  n so there are n-1 terms for addition if you look carefully

Assume after deleting any term, the new mean is , then their sum is 

Subtract equation (1) from equation (2) we get

So, the answer is a - 1/2

Test Level 2: Averages - 1 - Question 8
Save

The average of 21 results is 54. If the average of the first 11 results is 51 and that of the last 11 is 57, find the 11th result.

Detailed Solution: Question 8

Average of 21 results = 54
Total of 21 results = 54 x 21 = 1134
Average of the first 11 results = 51
Total of the first 11 results = 51 x 11 = 561
Average of the last 11 results = 57
Total of the last 11 results = 57 x 11 = 627
Therefore, 11th result = 561 + 627 - 1134 = 1188 - 1134 = 54

Test Level 2: Averages - 1 - Question 9
Save

The average of 10 numbers is 20. If a number equal in value to the largest of the 10 given numbers is added to the given set, the average increases by 1. But instead of adding the number, if the largest number itself is deleted, then what will be the average?

Detailed Solution: Question 9

Sum of 10 numbers = 200
Assume that x is the maximum.

If x is deleted, average

Test Level 2: Averages - 1 - Question 10
Save

Some children are sitting in a row. The nth child has n2 chocolates and every child has an average of 46 chocolates. How many children are sitting in the row?

Detailed Solution: Question 10

According to the question,
Total number of chocolate = 46n

2n2 + 2n + n + 1 = 276

2n2 + 3n - 275 = 0

5 docs|246 tests
Join Course
Information about Test Level 2: Averages - 1 Page
In this test you can find the Exam questions for Test Level 2: Averages - 1 solved & explained in the simplest way possible. Besides giving Questions and answers for Test Level 2: Averages - 1, EduRev gives you an ample number of Online tests for practice
Download as PDF
;

About this CAT Practice Test

This test contains 10 MCQs on Test Level 2: Averages - 1 with detailed solutions for each question. It is part of the Level-wise Tests for CAT course on EduRev, designed to align with the current CAT syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

Explore more CAT Study Resources

If you found this Test Level 2: Averages - 1 MCQ Test helpful, you can further enhance your CAT preparation with in-depth courses on EduRev, for all the subjects and topics available in Level-wise Tests for CAT course. The course offers:
  • Video Lectures: covering all the topics of Level-wise Tests for CAT
  • Notes for Revision: offering revision notes, important questions, summaries, flashcards, cheatsheets & more for CAT preparation
  • MCQ Test: variety of questions as per the pattern of CAT exam
Signup to see your scores go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup