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Mechanical Engineering Exam  >  Mechanical Engineering Test  >  General Aptitude for GATE  >  MCQ: Averages - 2 - Mechanical Engineering MCQ

Averages - 2 - Free MCQ Practice Test with solutions, GATE ME General Aptitude


MCQ Practice Test & Solutions: MCQ: Averages - 2 (15 Questions)

You can prepare effectively for Mechanical Engineering General Aptitude for GATE with this dedicated MCQ Practice Test (available with solutions) on the important topic of "MCQ: Averages - 2". These 15 questions have been designed by the experts with the latest curriculum of Mechanical Engineering 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 15

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

MCQ: Averages - 2 - Question 1
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The average of 100 numbers is 210. The average of these 100 numbers and 20 other new numbers is 200. What is the average of 20 new numbers?

Detailed Solution: Question 1

Sum of 100 numbers =100×210=21000
Sum of 120 numbers =120×200=24000
Sum of 20 numbers =24000−21000=3000
∴ Average of 20 new numbers =3000/20=150


Hence, Option D is correct.

MCQ: Averages - 2 - Question 2
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The average of 13 numbers is 60. The average of the first 7 numbers is 57 and that of the last 7 numbers is 65. What is the 7th number?

Detailed Solution: Question 2

7 × 57 + 7 × 65 = 854
Since the 7th number came twice, it is added two times.
So the answer = 854 – 13 × 60 = 74
Hence, Option D is correct.

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MCQ: Averages - 2 - Question 3
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The average of 31 numbers is 57. The average of the first 10 numbers is 50 and that of the last 20 numbers is 61. What is the 11th number?

Detailed Solution: Question 3

Last 20 number = 12th to 31st
So remaining is 11th number.
So the answer = 31 × 57 – 10 × 50 – 20 × 61 = 47
Hence, Option D is correct.

MCQ: Averages - 2 - Question 4
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A class has three sections A, B and C and the combined number of students in all three sections of the class is 200. In a test, the average marks of all the students in the class is 95. The average marks of all the students of sections A and B is 80 and the average marks of all the students of section C is 104. What is the number of students in Section C?

Detailed Solution: Question 4

Let the number of students in Section C = X
The combined number of students in sections A and B = 200 – X
X × 104 + (200 – X) × 80 = 200 × 95
104X + 16000 – 80X = 19000
3000 = 24X
125 = X
Hence, Option D is correct.

MCQ: Averages - 2 - Question 5
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The average weight of A, B and C is 50 kg. If the average weight of A and B is 45 kg and that of B and C is 59 kg, what is the weight of A?

Detailed Solution: Question 5

Reqd. weight = 50 × 3 – 59 × 2 = 32 kg

Hence, Option D is correct.

MCQ: Averages - 2 - Question 6
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The average weight of A, B, C and D is 64 kg. If the average weight of A and B is 50 kg and that of B, C and D is 70 kg, what is the weight of B?

Detailed Solution: Question 6

Weights → A + B + C + D = 64 × 4 = 256 kg
Weights → A + B = 50 × 2 = 100 kg
Weights → B + C + D = 70 × 3 = 210 kg
Weights → A + B + B + C + D = 100 + 210 = 310 kg
So the answer = 310 – 256 = 54 kg
Hence, Option D is correct.

MCQ: Averages - 2 - Question 7
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The average of X natural numbers is 32. If 8 is added to the first number and 40 is subtracted from the last number, the average becomes 30. What is the value of X?

Detailed Solution: Question 7

X × 32 + 8 – 40  = X × 30
2X = 32
X = 16
Hence, Option A is correct.

MCQ: Averages - 2 - Question 8
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The average weight of a group of 15 persons increases by 2 kg when a person weighing 40 kg is replaced by Saurabh. What is the weight of Saurabh?

Detailed Solution: Question 8

Combined weight of the group increases by = 2 × 15 = 30 kg
So the answer = 40 + 30 = 70 kg
Hence, Option C is correct.

MCQ: Averages - 2 - Question 9
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What is the average of first 5 positive prime numbers?

Detailed Solution: Question 9

First five positive numbers = 2, 3, 5, 7 and 11

Hence, Option D is correct.

MCQ: Averages - 2 - Question 10
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What is the average of all odd numbers between 1 and 100?

Detailed Solution: Question 10



MCQ: Averages - 2 - Question 11
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The average of X natural numbers is 20. If 40 is added to the first number and 4 is subtracted from the last number, the average becomes 22. What is the value of X?

Detailed Solution: Question 11

X × 20 + 40 – 4 = X × 22
36 = 2X
X = 18
Hence, Option A is correct.

MCQ: Averages - 2 - Question 12
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The average weight of A, B and C is 72 kg. When D joins them, the new average becomes 68 kg. When E joins, A, B, C and D, the average of all five becomes 70 kg. What is the weight of E?

Detailed Solution: Question 12

The average weight of A, B, C and D = 68 kg
The average weight of A, B, C, D and E = 70 kg
So the answer = 70 × 5 – 68 × 4 = 78 kg
Hence, Option A is correct.

MCQ: Averages - 2 - Question 13
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Six friends have an average height of 172 cm. A boy with height 152 cm leaves the group. What is the new average height of the group?

Detailed Solution: Question 13


Hence, Option A is correct.

MCQ: Averages - 2 - Question 14
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What is the average of all even numbers between 1 and 50?

Detailed Solution: Question 14

All even numbers between 1 and 50 = 2 to 48

Hence, Option D is correct.

MCQ: Averages - 2 - Question 15
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The average of 8 numbers 12, 19, 23, 7, ‘x’, 9, 26 and 13 is 16. What is the value of ‘x’?

Detailed Solution: Question 15

12 + 19 + 23 + 7 + x + 9 + 26 + 13 = 16 × 8
109 + x = 128
x = 128 – 109 = 19
Hence, Option D is correct.

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About this Mechanical Engineering Practice Test

This test contains 15 MCQs on MCQ: Averages - 2 with detailed solutions for each question. It is part of the General Aptitude for GATE course on EduRev, designed to align with the current Mechanical Engineering 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.

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