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Average - Aptitude MCQ Questions and Solutions with Explanations

Average MCQ Questions and answers with easy and logical explanations.Arithmetic Ability provides you all type of quantitative and competitive aptitude mcq questions on Average with easy and logical explanations. Average MCQ is important for exams like Banking exams,IBPS,SCC,CAT,XAT,MAT etc. Page-5 section-4

Each section contains 100 MCQs on Average .
41
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is :
Discuss
Answer & Solution
Answer: Option A
Solution:
Total marks of three batches
= 55 × 50 + 60 × 55 + 45 × 60
= 2750 + 3300 + 2700
= 8750
Average
$$\frac{8750}{55 + 60 + 45}$$
= $$\frac{8750}{160}$$
= $$\frac{875}{16}$$
= 54.68
42
Find the average of cubes of first 49 positive integers.
Discuss
Answer & Solution
Answer: Option A
Solution:
Sum of cubes of first n positive consecutive numbers is $$ = \frac{{{{\left( {n\left( {n + 1} \right)} \right)}^2}}}{4}$$
Average
$$ = \frac{{{{\left( {n\left( {n + 1} \right)} \right)}^2}}}{4}$$
$$\eqalign{ & \Rightarrow n = 49 \cr & \Rightarrow \frac{{49{{\left( {50} \right)}^2}}}{4} \cr & \Rightarrow 30625 \cr} $$
43
In a family of 5 members, the average age at present is 33 years. The youngest member is 9 years old. The average age of the family just before the birth of the youngest members was :
Discuss
Answer & Solution
Answer: Option A
Solution:
According to the question,
Average age of 5 members today = 33 years
Sum of ages of 5 members today = 33 × 5 = 165 years
If the youngest member is 9 year old
∴ Sum of the age of 4 members before the birth of youngest child
= 165 - 9 - 4 × 9
= 120 years
∴ Average = $$\frac{120}{4}$$ = 30 years
44
A man spends his three months income in four month time. If his monthly income is Rs. 1000 then his annual savings is ?
Discuss
Answer & Solution
Answer: Option A
Solution:
According to the question,
Annual income
= 1000 × 12
= Rs. 12000
Annual expenditure
= 1000 × 9
= Rs. 9000
Savings
= 12000 - 9000
= Rs. 3000
45
Average weight of 25 persons is increased by 1 kg when one person weighing 60 kg is replaced by a new person. Weight of new the person is-
Discuss
Answer & Solution
Answer: Option D
Solution:
Let the weight of 25 person's = 25x kg
And the new person's weight = y kg
According to the question,
⇒ 25x - 60 + y = 25 (x +1)
⇒ 25x - 60 + y = 25x + 25
⇒ y = 85 kg
46
The average age of Ram and his two children is 17 years and the average age of Ram's wife and the same children is 16 years. If the age of Ram is 33 years, the age of his wife is (in years) :
Discuss
Answer & Solution
Answer: Option D
Solution:
According to the question,
$$ = \frac{{{\text{Ram + 2C}}}}{3}$$
= 17 years
Ram + 2C = 51 years.....(i)
$$ = \frac{{{\text{Wife + 2C}}}}{3}$$
= 16 years
Wife + 2C = 48 years.....(ii)
If Ram age = 33 years old
Put this value in equation (i)
∴ 2C = 51 - 33
2C = 18 years old.....(iii)
Put this value in equation (ii)
Wife + 18 = 48
Wife = 48 - 18 = 30
wife = 30 years old
47
The average weight of 12 parcels is 1.8 kg. Addition of another new parcel reduces the average weight by 50 gm. What is the weight of the new parcel ?
Discuss
Answer & Solution
Answer: Option C
Solution:
Let the weight of the new parcel = x kg.
According to the question,
⇒ 12 × 1.8 + x = 13 × 1.75
⇒ 21.6 + x = 22.75
⇒ x = 1.15 kg
48
Six tables and twelve chairs were bought for Rs. 7800. If the average price of a table is Rs. 750, then the average price of a chair would be :
Discuss
Answer & Solution
Answer: Option B
Solution:
According to the question,
6T + 12C = 7800
Average price of table = Rs. 750
Total price of tables
= 750 × 6 = Rs. 4500
Total price of chairs
= 7800 - 4500 = Rs. 3300
Average price of chairs
= $$\frac{3300}{12}$$ = Rs. 275
49
The average of six numbers is 20. If one number is removed, the average becomes 15. What is the number removed ?
Discuss
Answer & Solution
Answer: Option D
Solution:
According to the question,
Average of six numbers is = 20
Sum of six numbers is
= 20 × 6 = 120
One number is removed then,
Average of five numbers is = 15
Sum of five numbers is = 15 × 5 = 75
∴ Remove number is
= 120 - 75 = 45
50
The average age of four brothers is 12 years. If the age of their mother is also included, the average is increased by 5 years. The age of the mother (in years) is :
Discuss
Answer & Solution
Answer: Option A
Solution:
Sum of age of four brothers = 12 × 4 = 48
Sum of age of four brothers and their mother
= 17 × 5 = 85
∴ Mother's age = 85 - 48 = 37 years