MCQ: Averages - 2 - Mechanical Engineering MCQ

# MCQ: Averages - 2 - Mechanical Engineering MCQ

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## 15 Questions MCQ Test General Aptitude for GATE - MCQ: Averages - 2

MCQ: Averages - 2 for Mechanical Engineering 2024 is part of General Aptitude for GATE preparation. The MCQ: Averages - 2 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The MCQ: Averages - 2 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Averages - 2 below.
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MCQ: Averages - 2 - Question 1

### 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 for MCQ: Averages - 2 - 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

### 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 for MCQ: Averages - 2 - 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

### 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 for MCQ: Averages - 2 - 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

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 for MCQ: Averages - 2 - 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

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 for MCQ: Averages - 2 - Question 5

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

Hence, Option D is correct.

MCQ: Averages - 2 - Question 6

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 for MCQ: Averages - 2 - 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

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 for MCQ: Averages - 2 - Question 7

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

MCQ: Averages - 2 - Question 8

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 for MCQ: Averages - 2 - 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

What is the average of first 5 positive prime numbers?

Detailed Solution for MCQ: Averages - 2 - Question 9

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

Hence, Option D is correct.

MCQ: Averages - 2 - Question 10

What is the average of all odd numbers between 1 and 100?

Detailed Solution for MCQ: Averages - 2 - Question 10

MCQ: Averages - 2 - Question 11

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 for MCQ: Averages - 2 - Question 11

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

MCQ: Averages - 2 - Question 12

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 for MCQ: Averages - 2 - 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

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 for MCQ: Averages - 2 - Question 13

Hence, Option A is correct.

MCQ: Averages - 2 - Question 14

What is the average of all even numbers between 1 and 50?

Detailed Solution for MCQ: Averages - 2 - Question 14

All even numbers between 1 and 50 = 2 to 48

Hence, Option D is correct.

MCQ: Averages - 2 - Question 15

The average of 8 numbers 12, 19, 23, 7, ‘x’, 9, 26 and 13 is 16. What is the value of ‘x’?

Detailed Solution for MCQ: Averages - 2 - 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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