Quantitative Aptitude - Average
Exam Duration: 45 Mins Total Questions : 30
In Arun's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Arun and he thinks that Arun's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all of them are correct in their estimation, what is the average of different probable weights of Arun?
- (a)
67 kg
- (b)
68 kg
- (c)
69 kg
- (d)
Data inadequate
- (e)
None of these
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 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
The average of five consecutive odd numbers is 61. What is the difference between the highest and lowest numbers?
- (a)
2
- (b)
5
- (c)
8
- (d)
Cannot be determined
- (e)
None of these
the sum of three consecutive odd numbers is 38 more than the average of these numbers. What is the first of these numbers?
- (a)
13
- (b)
17
- (c)
19
- (d)
Data inadequate
- (e)
none of these
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
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
A car owner buys petrol at Rs 7.50, Rs. 8 and 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if be spends Rs. 4000 each year?
- (a)
Rs. 7.98
- (b)
Rs. 8
- (c)
Rs. 8.50
- (d)
Rs. 9
The average score of a cricketer for ten matches is 38.9 runs.If the average for the first six matches is 42, then find the average for the last four matches.
- (a)
33.25
- (b)
33.5
- (c)
34.25
- (d)
35
The average of a runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?
- (a)
2
- (b)
4
- (c)
70
- (d)
76
In the first 10 overs of a cricket game. the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the reach the target of 282 runs?
- (a)
6.25
- (b)
6.5
- (c)
6.75
- (d)
7
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
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 weight of three boys A,B and C is \(54{1\over 3}\)kg, while the average weight of three boys B, D and E is 53 Kg. What is the average weight of A, B, C, D and E?
- (a)
52.4 kg
- (b)
53.2 kg
- (c)
53.8 kg
- (d)
Data inadequate
- (e)
None of these
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 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
A team of 8 persons joins in a shooting competition. The best marksman scored 85 points. If he had scored 92 points, the average score for the team would have been 84. The number of points, the team scored was :
- (a)
588
- (b)
645
- (c)
665
- (d)
672
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
10 years ago, the average age of a family of 4 members was 24 years. Two children having been born (with age difference of 2 years), the present average age of the family is the same. The present age of the youngest child is :
- (a)
1 year
- (b)
2 year
- (c)
3 year
- (d)
5 year
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 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
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.
The average age of P,Q,R and S is 30 years. How old is R ?
I. The sum of ages of P and R is 60 years.
II. S is 10 years younger than R.
- (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.
The average age of teacher and student in a class is 3 years more than the average age of students. What is the age of the class teacher ?
I. There are 11 students in the class.
II. The average age of teacher and students is 14 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.
How many marks did Tarun secure in English ?
I. The average marks obtained by Tarun in four subjects including English is 60.
II. The total marks obtained by him in English and Mathematics together is 170.
III. The total marks obtained by him in Mathematics and Science together is 180.
- (a)
I and II only
- (b)
II and III only
- (c)
I and III only
- (d)
All, I, II and III
- (e)
None of these
The mean temperature of Monday to Wednesday was \(37^{o}\)C and of tuesday to thursday was \(34^{o}\)C. What was the temperature on Thursday ?
I. The temperature on Thursday was \(4\over5\)th that of Monday.
II.The mean temperature of monday and thursday was \(40.5^{o}\)
III. The difference between the temperature on Monday and that on Thusday was \(9^{o}\)C.
- (a)
I and II only
- (b)
II and III only
- (c)
Either I or II
- (d)
Either I, II or III
- (e)
Any two of the three
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