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TNPSC Quantitative Aptitude - Average Important Questions

Quantitative Aptitude - Average

Exam Duration: 60 Mins Total Questions : 30

1 )

The average of the first five multiples of 3 is:

(a)
3
(b)
9
(c)
12
(d)
15

2 )

If the mean of 5 observation x, x+2, x+4, x+6 and x+8 is 11, then the mean of the last three observation is :

(a)
11
(b)
13
(c)
15
(d)
17

3 )

If the mean of a, b, c is M and ab+bc+ca=0, then the mean of a², b², c² is :

(a)
M²
(b)
3M²
(c)
6M²
(d)
9M²

4 )

The average of all odd numbers upto 100 is :

(a)
49
(b)
49.5
(c)
50
(d)
51

5 )

The average of 7 consecutive numbers is 20. The largest of these numbers is :

(a)
20
(b)
22
(c)
23
(d)
24

6 )

A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family?

(a)
\(28{4\over 7}\) years
(b)
\(31{5\over 7}\) years
(c)
\(32{1\over 7}\) years
(d)
None of these

7 )

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 :

(a)
53.33
(b)
54.68
(c)
55
(d)
None of these

8 )

Out of 9 persons, 8 persons spent Rs. 30 each for their meals. The ninth one spent Rs. 20 more than the average expenditure of all the nine. The total money spent by all of them was :

(a)
Rs. 260
(b)
Rs. 290
(c)
Rs. 292.50
(d)
Rs. 400.50

9 )

The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly :

(a)
28.32
(b)
28.78
(c)
29.27
(d)
29.68

10 )

The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two members?

(a)
4.5
(b)
4.6
(c)
4.7
(d)
4.8

11 )

The average price of 10 books is Rs. 12 while the average price of 8 these books is Rs. 11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other, what is the price of each of these two books?

(a)
Rs. 5, Rs. 7.50
(b)
Rs. 8, Rs. 12
(c)
Rs. 10, Rs. 16
(d)
Rs. 12, rs. 14

12 )

The average of 8 numbers in 20. The average of first two numbers is \(15{1\over 2}\) and that of the next three is \(21{1\over 3}\). If the sixth number be less than the seventh and eighth numbers by 4 and 7 respectively, then the eighth number is :

(a)
18
(b)
22
(c)
25
(d)
27

13 )

If the arithmetic mean of seventy-five numbers is calculated, it is 35. If each number is increased by 5, then mean of new numbers is :

(a)
30
(b)
40
(c)
70
(d)
90

14 )

The average of ten numbers is 7. If each numbers is multiplied by 12, then the average of the new set of numbers is :

(a)
7
(b)
19
(c)
82
(d)
84

15 )

The mean of 50 observations was 36. It was found later that an observation 48 was wrongly taken as 23. The corrected new mean is :

(a)
35.2
(b)
36.1
(c)
36.5
(d)
39.1

16 )

The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is :

(a)
17 kg
(b)
20 kg
(c)
26 kg
(d)
31 kg

17 )

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?

(a)
40 years
(b)
42 years
(c)
48 years
(d)
50 years

18 )

A motorist travels to a place 150 km away at an average speed of 50 km / hr and returns at 30 km / hr. His average speed for the whole journey in km / hr is :

(a)
35
(b)
37
(c)
37.5
(d)
40

19 )

The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one-year old child. The average age of the family now is :

(a)
19 years
(b)
23 years
(c)
28.5 years
(d)
29.3 years

20 )

Three years ago, the average age of A and B was 18 years. With C joining them, the average age becomes 22 years. How old is C now?

(a)
24 years
(b)
27 years
(c)
28 years
(d)
30 years

21 )

The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is :

(a)
35 years
(b)
40 years
(c)
50 years
(d)
None of these

22 )

3 years ago, the average age of a family of 5 members was 17 years. A baby having been born, the average of the family is the same today. The present age of the baby is

(a)
1 year
(b)
\(1{1\over 2}\) year
(c)
2 year
(d)
3 year

23 )

After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member?

(a)
2 year
(b)
4 year
(c)
8 year
(d)
15 year

24 )

The average age of 3 children in a family in 20% of the average age of the father and the eldest child. The total age of the mother and the youngest child is 39 years. If the father's age is 26 years, what is the age of second child?

(a)
15 years
(b)
18 years
(c)
20 years
(d)
Cannot be determined

25 )

The average age of a group of persons for picnic is 16 years. Twenty new persons with an average age of 15 years join the group on the spot due to which their average age becomes 15.5 years. The number of persons initially going for picnic is :

(a)
5
(b)
10
(c)
20
(d)
30

26 )

The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.4 years. The ratio of the number of boys to the number of girls in the class is :

(a)
1 : 2
(b)
2 : 3
(c)
3 : 4
(d)
3 : 5

27 )

The average weight of 45 students in a class is 52 kg.Five of them whose average weight is 48 kg leaveable class and other 5 students whose average weight is 54 kg join the class.What is the new average weight (in kg) of the class?

(a)
\(52\frac{1}{3}\)
(b)
\(52\frac{1}{2}\)
(c)
\(52\frac{2}{3}\)
(d)
None of these

28 )

What is the average age of children in the class ?

I. Age of the teacher is as many years as the number of children.

II. Average age increased by 1year if the teacher's age is also included.

(a)
If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
(b)
If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
(c)
If the data either in statement I or in Statement II alone are sufficient to answer the question.
(d)
If the data even in both Statement I and II together are not sufficient to answer the question.
(e)
If the data in both Statement I and II together are necessary to answer the question.

29 )

How many candidates were interviewed everyday by the panel A out of three panels A, B and C ?

I. The three panels on an average interview 15 candidate everyday.

II. Out of a total of 45 candidates interview everyday by the three panels, the number of candidates interviewed by panel A is more by 2 than the candidates interviewed by panel C and more by 1 than the candidates interviewed by panel B.

(a)
If the data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.
(b)
If the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
(c)
If the data either in statement I or in Statement II alone are sufficient to answer the question.
(d)
If the data even in both Statement I and II together are not sufficient to answer the question.
(e)
If the data in both Statement I and II together are necessary to answer the question.