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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-6 section-2

Each section contains 100 MCQs on Average .
51
The average sale of car dealership was 15 cars per week. After a promotional scheme the average sale increased to 21 cars per week. The percentage increased in the sale of cars was-
Discuss
Answer & Solution
Answer: Option B
Solution:
Number of cars sold per week originally = 15 × 7 = 105
Number of cars sold per week under scheme = 21 × 7 = 147
Increase in sale = 147 - 105 = 42
∴ Percentage increase
$$\eqalign{ & = \left( {\frac{{42}}{{105}} \times 100} \right)\% \cr & = \left( {\frac{{4200}}{{105}}} \right)\% \cr & = 40\% \cr} $$
52
The average age of the mother and her six children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother ?
Discuss
Answer & Solution
Answer: Option B
Solution:
Age of the mother
= (12 × 7 - 7 × 6) years
= 42 years
53
The average age of the boys in a class is 16 years and that of the girls is 15 years. The average age for the whole class is-
Discuss
Answer & Solution
Answer: Option D
Solution:
Clearly, to find average, we ought to know the number of boys, girls or students in the class, neither of which has been given.
So. the data provided is inadequate.
54
Amount five people with monthly income (in Rs.) 15000, 26000, 16000, 19000, 50000, how many will have income less than the mean income of five people?
Discuss
Answer & Solution
Answer: Option C
Solution:
Mean income
$$ = {\text{Rs}}{\text{.}}\left( {\frac{{15000 + 26000 + 16000 + 19000 + 50000}}{5}} \right)$$
$$\eqalign{ & = {\text{Rs}}{\text{.}}\left( {\frac{{126000}}{5}} \right) \cr & = {\text{Rs}}{\text{. 25200}} \cr} $$
Clearly, three people have monthly income below the mean income.
55
If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is
Discuss
Answer & Solution
Answer: Option B
Solution:
We have :
$$\eqalign{ & a = \frac{{0 + 5 + 4 + 3}}{4} = 3 \cr & b = \frac{{ - 1 + 0 + 1 + 5 + 4 + 3}}{6} = 2 \cr & c = \frac{{5 + 4 + 3}}{3} = 4 \cr & \therefore a:b:c = 3:2:4 \cr} $$
56
In a family, the average age of a father and a mother is 35 years. The average age of the father, mother and their only son is 27 years. What is the age of the son?
Discuss
Answer & Solution
Answer: Option C
Solution:
Sum of ages of father and mother
= (35 × 2) years
= 70 years
Sum of ages of father, mother and son
= (27 × 3) years
= 81 years
∴ Son's age = (81 - 70) years
= 11 years
57
Find the average of all the numbers between 6 and 34 which are divisible by 5 -
Discuss
Answer & Solution
Answer: Option B
Solution:
Average
$$\eqalign{ & {\text{ = }}\left( {\frac{{10 + 15 + 20 + 25 + 30}}{5}} \right) \cr & {\text{ = }}\frac{{100}}{5} \cr & {\text{ = 20}} \cr} $$
58
The mean of 25 observations was found to be 78.4. But later on it was found that 96 were misread as 69. The correct means is-
Discuss
Answer & Solution
Answer: Option C
Solution:
Correct sum = (78.4 × 25 + 96 - 69) = 1987
∴ Correct mean
= $$\frac{1987}{25}$$
= 79.48
59
The average temperature for the first four days of a week is 40.2° C and that of the last four days is 41.3° C. If the average temperature for the whole 40.6°C, then the temperature on the fourth day is-
Discuss
Answer & Solution
Answer: Option C
Solution:
Temperature on the fourth day
= [(40.2 × 4 + 41.3 × 4) - (40.6 × 7)]° C
= 41.8° C
60
The average of five numbers is 306.4. The average of the first two numbers is 431 and the average of the last two numbers is 214.5. What is the third number?
Discuss
Answer & Solution
Answer: Option E
Solution:
Third number
= [306.4 × 5 - (431 × 2 + 214.5 × 2)]
= (1532 - 1291)
= 241