TNPSC Quantitative Aptitude - Average
Exam Duration: 45 Mins Total Questions : 30
The average of 20 numbers is zero. Of them at the most, how many may be greater than zero?
- (a)
0
- (b)
1
- (c)
10
- (d)
19
The average of the first nine prime numbers is :
- (a)
9
- (b)
11
- (c)
\(11{1\over 9}\)
- (d)
\(11{2\over 9}\)
A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x?
- (a)
3
- (b)
7
- (c)
17
- (d)
31
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
The average of first 50 natural numbers is :
- (a)
12.25
- (b)
21.25
- (c)
25
- (d)
25.5
The average of 7 consecutive numbers is 20. The largest of these numbers is :
- (a)
20
- (b)
22
- (c)
23
- (d)
24
The average weight of 16 boys in a class is 50.25 kgs and that of the remaining 8 boys is 45.15 kgs. Find the average weight of all the boys in the class.
- (a)
47.55 kgs
- (b)
48 kgs
- (c)
48.55 kgs
- (d)
49.25 kgs
The average price of three item of furniture is Rs. 15000. If their prices are in the ratio 3: 5 : 7, the price of the cheapest item is :
- (a)
Rs. 9000
- (b)
Rs. 15000
- (c)
Rs. 18000
- (d)
Rs. 21000
Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is :
- (a)
15
- (b)
45
- (c)
48
- (d)
60.25
Of the three numbers, the first is twice the second and the second is twice the third. The average of the reciprocal of the number is \(7\over 72\). The numbers are :
- (a)
16, 8, 4
- (b)
20, 10, 5
- (c)
24, 12, 6
- (d)
36, 18, 9
Of the three numbers, the average of the first and the second is greater than the average of the second and the third by 15. What is the difference between the first and the third of the three numbers?
- (a)
15
- (b)
45
- (c)
60
- (d)
Data inadequate
- (e)
None of these
Average of ten positive numbers is \(\bar { x } \). If each number is increased by 10%, then \(\bar { x } \) :
- (a)
remains unchanged
- (b)
may decrease
- (c)
may increase
- (d)
is increased by 10%
The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is :
- (a)
11 years
- (b)
14 years
- (c)
15 years
- (d)
\(15{2\over 7}\)years
The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is :
- (a)
11
- (b)
11.3
- (c)
11.4
- (d)
11.5
The average temperature of the town in the first four days of a month was 58 degrees. The average for the second, third, fourth and fifth days was 60 degrees. If the temperatures of the first and fifth days were in the ratio 7 : 8, then what is the temperature on the fifth day?
- (a)
64 degrees
- (b)
62 degrees
- (c)
56 degrees
- (d)
None of these
The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increase by one. What is the teacher's age in the years?
- (a)
31
- (b)
36
- (c)
51
- (d)
cannot be determined
- (e)
None of these
The average monthly salary of 20 employees in an organisation is Rs. 1500. If the manager's salary is added, then the average salary increases by Rs. 100. What is the manager's monthly salary?
- (a)
Rs. 2000
- (b)
Rs. 2400
- (c)
Rs. 3600
- (d)
Rs. 4800
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
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
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
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
The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is :
- (a)
20
- (b)
21
- (c)
22
- (d)
23
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
The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one them weighing 65 kg.What might be the weight of the new person ?
- (a)
76 kg
- (b)
76.5 kg
- (c)
85 kg
- (d)
Data inadequate
- (e)
None of these
The total of the present ages of A,B,C and D is 96 years. What is B's present age ?
I. The average age of A,B and D is 20 years.
II. The average age of C and D is 25 years.
- (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.
What is the average weight of the three new team members who are recently included in the team ?
I. The average which of the team increases by 20 kg.
II. The three new men substitute earlier members whose weight are 64 kg, 75 kg and 66 kg.
- (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.
How old will C be after 10 years ?
I. Five years ago, the average age of A and B was 15 years.
II. Average age of A, B and C today is 20 years.
- (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.
Deepak's marks in Hindi are 15 more than the average marks obtained by him in Hindi, Economics, Sociology and Philosophy. What are his marks in Philosophy ?
I. The total marks obtained by him in Hindi and Philosophy together is 120.
II. The difference between the marks obtained by him in Sociology and Economics is 120.
- (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 Stattement 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.
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.
What is the average salary of 15 employees ?
I. Average salary of 7 clerical cadre (out of the 15 employees) is Rs. 8500.
II. Average salary of 5 officer cadre (out of the 15 employees) is Rs. 10000.
III. Average salary of the 3 sub-staff employees (out of the 15 employees) is Rs. 2500.
- (a)
None
- (b)
Only I
- (c)
Only II
- (d)
Only III
- (e)
Question cannot be answered even with information in all the three statements