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MCQ: Averages - 1 - Mechanical Engineering MCQ


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15 Questions MCQ Test General Aptitude for GATE - MCQ: Averages - 1

MCQ: Averages - 1 for Mechanical Engineering 2024 is part of General Aptitude for GATE preparation. The MCQ: Averages - 1 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The MCQ: Averages - 1 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Averages - 1 below.
Solutions of MCQ: Averages - 1 questions in English are available as part of our General Aptitude for GATE for Mechanical Engineering & MCQ: Averages - 1 solutions in Hindi for General Aptitude for GATE course. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free. Attempt MCQ: Averages - 1 | 15 questions in 15 minutes | Mock test for Mechanical Engineering preparation | Free important questions MCQ to study General Aptitude for GATE for Mechanical Engineering Exam | Download free PDF with solutions
MCQ: Averages - 1 - Question 1

A company has 80 employees. The average income of 30 of them is Rs. 48,000 and the average income of the rest of them is Rs. 30,000. What is the average income of all the employees of the company?

Detailed Solution for MCQ: Averages - 1 - Question 1


Hence, Option D is correct.

MCQ: Averages - 1 - Question 2

20 kg of rice costing Rs. 30 per kg is mixed with 130 kg of rice costing Rs. 75 per kg. What is the average per kg price of the mixture?

Detailed Solution for MCQ: Averages - 1 - Question 2


Hence, Option A is correct.

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MCQ: Averages - 1 - Question 3

The average number of visitors in a museum on each Sunday is 420 and the average number of visitors in the museum on any other day is 210. What is the average number of per day visitors in the whole month of April, which starts on Saturday?

Detailed Solution for MCQ: Averages - 1 - Question 3

Sundays → 2nd, 9th, 16th, 23rd and 30th (5 Sundays)

Hence, Option C is correct.

MCQ: Averages - 1 - Question 4

In a year, the average monthly expenditure of Rajat in the first 5 months is Rs. 21,000, in the next 4 months is Rs. 24,000 and in the last three months is Rs. 12,000. If he saves overall Rs. 1,80,000 in the whole year, what is his average monthly income?

Detailed Solution for MCQ: Averages - 1 - Question 4

Total income of the year = 5 × 21,000 + 4 × 24,000 + 3 × 12,000 + 1,80,000 = 4,17,000

Hence, Option B is correct.

MCQ: Averages - 1 - Question 5

32 boys and 40 girls spend an average amount of Rs. 400. If the average amount spent by each boy is Rs. 500, what is the average amount spent by each girl?

Detailed Solution for MCQ: Averages - 1 - Question 5


Hence, Option D is correct.

MCQ: Averages - 1 - Question 6

6 persons are sitting in a car. The average weight of all six persons is 72 kg and the average weight of the car and all six persons is 180 kg. What is the weight of the car?

Detailed Solution for MCQ: Averages - 1 - Question 6

Weight of the car = (180 × 7 – 72 × 6) = 828 kg
Hence, Option B is correct.

MCQ: Averages - 1 - Question 7

A man bought 17 articles for Rs. 480 each, 15 articles for Rs. 600 each and 18 articles for Rs. 900 each. What is the average cost price per article?

Detailed Solution for MCQ: Averages - 1 - Question 7


Hence, Option A is correct.

MCQ: Averages - 1 - Question 8

What is the average of all the composite numbers between 11 and 30?

Detailed Solution for MCQ: Averages - 1 - Question 8

Prime numbers between 1 and 30 →13, 17, 19, 23 and 29 (5)
Rest are prime numbers.
Total numbers 12 to 29 = 18
Total composite numbers = 13

Hence, Option A is correct.

MCQ: Averages - 1 - Question 9

Find the average of 6, 0.06, 66.66, 60.60, 600.60 and 6000?

Detailed Solution for MCQ: Averages - 1 - Question 9


Hence, Option B is correct.

MCQ: Averages - 1 - Question 10

The combined amount spent on 30 books and 120 notebooks is Rs. 15,000. If the price of each book is Rs. 400, what is the price of each notebook?

Detailed Solution for MCQ: Averages - 1 - Question 10


Hence, Option D is correct.

MCQ: Averages - 1 - Question 11

The average weight of a group of 14 persons is 40 kg. One more person joins the group and the average weight becomes 41.50 kg. What is the weight of the new person?

Detailed Solution for MCQ: Averages - 1 - Question 11

Reqd. weight = 41.50 × 15 – 14 × 40 = 62.50 kg
Hence, Option C is correct.

MCQ: Averages - 1 - Question 12

The average of 80 numbers is 105. The average of the first 21 numbers is 104 and that of the next 57 numbers is 103. What is the average of the last two numbers?

Detailed Solution for MCQ: Averages - 1 - Question 12

The average of the last two numbers

Hence, Option A is correct.

MCQ: Averages - 1 - Question 13

The average of 20 numbers is 41. The average of the first 8 numbers is 39 and that of the last 13 numbers is 43. What is the 8th number?

Detailed Solution for MCQ: Averages - 1 - Question 13

8 × 39 + 13 × 43 = 871
Since the 8th number came twice, it is added two times.
So the answer = 871 – 20 × 41 = 51
Hence, Option A is correct.

MCQ: Averages - 1 - Question 14

What is the average of all the numbers between 5 and 78, which can be divided by 6?

Detailed Solution for MCQ: Averages - 1 - Question 14

Between 5 and 78:
First number = 6
Last number = 72

Hence, Option D is correct.

MCQ: Averages - 1 - Question 15

There are 17 persons in a group. The average age of 16 persons among them is 60.50 years and the age of 17th person is 8 years more than the average age of all the 17 persons. What is the age of the 17th person?

Detailed Solution for MCQ: Averages - 1 - Question 15

Let the average age of all the 17 persons = X years
Age of 17th persons = X + 8 years 
16 × 60.50 + X + 8 = 17 × X
976 = 16X 
X = 61 
So the answer = 61 + 8 = 69 years
Hence, Option D is correct.

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