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Arithmetic Ability
Average
Quiz 13
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Q.1
The total marks obtained by a student in Physics, Chemistry and Mathematics together is 120 more than the marks obtained by him in Chemistry. What is the average marks obtained by him in Physics and Mathematics together?
40
60
120
Cannot be determined
None of these
Q.2
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 mean to be 12. What should be the number in place of x?
3
7
17
31
Q.3
The mean of 1
2
, 2
2
, 3
2
, 4
2
, 5
2
, 6
2
, 7
2
is -
10
20
30
40
Q.4
Total of Arun’s marks in Sanskrit and Mathematics together are 80 more than his marks in Science. His average marks in the three subjects are 100. What are his marks in Science?
80
110
120
Data inadequate
None of these
Q.5
The average age of a cricket team of 11 players is the same as it was 3 years back because 3 of the players whose current average age of 33 years are replaced by 3 youngsters. The average age of the new comers is :
23 years
21 years
22 years
20 years
Q.6
The average of five numbers is 27. If one number is excluded, the average becomes 25. The excluded number is ?
25
27
30
35
Q.7
If a, b, c, d, e are five consecutive odd numbers, their average is
5 (a + 4)
$$\frac{{{\text{abcde}}}}{5}$$
5 (a + b + c + d + e)
None of these
Q.8
The average of five consecutive odd numbers is 95. What is the fourth number in the descending order?
91
95
97
99
None of these
Q.9
The average of two numbers is 6.5 and square root of their product is 6. What are the numbers?
11 and 2
8 and 5
9 and 4
10 and 3
Q.10
The mean of the first ten even natural number is-
0
10
11
12
Q.11
The average of the first nine prime numbers is-
9
11
$$11\frac{1}{9}$$
$$11\frac{2}{9}$$
Q.12
The average of the three numbers x, y and z is 45. x is greater than the average of y and z by 9. The average of y and z is greater than y by 2. Then the difference of x and z is :
3
5
7
8
Q.13
If the mean of a, b, c, is M and ab + bc + ca = 0, then the mean of a
2
, b
2
, c
2
is -
M
2
3M
2
6M
2
9M
2
Q.14
The average of 2, 7, 6 and x is 5 and the average of 18, 1, 6, x and y is 10. What is the value of y?
5
10
20
30
Q.15
The average of five consecutive numbers is x. If the next two numbers are included, how shall the average vary?
It shall increase by 1
It shall remain the same
It shall increase by 1.4
It shall increase by 2
Q.16
In a certain factory there are five workers A, B, C, D and E. A can complete a work in 4 minutes, B in 5 minutes, C in 6 minutes, D in 10 minutes and E in 12 minutes. The average number of units of work completed per worker per minute will be-
0.16
0.172
0.80
0.87
Q.17
The average price of 10 books is Rs. 12 while the average price of 8 of 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?
Rs. 5, Rs. 7.50
Rs. 8, Rs. 12
Rs. 10, Rs. 16
Rs. 12, Rs. 14
Q.18
16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of group B ?
$$77\frac{1}{3}$$
$$77\frac{2}{3}$$
$$78\frac{1}{3}$$
$$78\frac{2}{3}$$
Q.19
The average of odd numbers up to 100 is
49
50.5
50
100
Q.20
In a group of 120 people, one-fifth are men, one-fourth are women and the rest children. The average age of women is five-sixth of the average age of men. Average age of children is one-fourth of the average age of men. If average age of men is 60 years, what is the average age of the group?
32.75 yeras
38.45 years
45.25 years
50.5 years
Q.21
If the average weight of 6 students is 50 kg. If two student of average weight of 51 kg are added and two other students of average weight of 55 kg are also added then the average weight of all the students is :
61 kg
51.5 kg
52 kg
51.2 kg
Q.22
A, B, C and D are four consecutive even numbers respectively and their average is 65. What is the product of A and D?
3968
4092
4216
4352
None of these
Q.23
The arithmetic mean of the series 1, 2, 4, 8, 16, . . . . . . , 2
n
is -
$$\frac{{{2^n} - 1}}{{n + 1}}$$
$$\frac{{{2^n} + 1}}{{n}}$$
$$\frac{{{2^n} - 1}}{{n}}$$
$$\frac{{{2^{n + 1}} - 1}}{{n + 1}}$$
Q.24
The arithmetic mean of first 11 natural numbers is
5
5.5
6.0
6.5
Q.25
While calculating the average of a batsman as 36 in 100 matches that he played, one of the scores 90 was incorrectly noted as 40. The percentage error is-
0.5%
1.21%
1.34%
1.36%
Q.26
In a class there are 32 boys and 28 girls. The average age of the boys in the class is 14 years and the average age of the girls in the class 13 years. What is the average age of the whole class (rounded to two digits after decimal) ?
12.51
13.42
13.50
13.53
None of these
Q.27
The average of x
1
, x
2
, x
3
and x
4
is 16. Half the sum of x
2
, x
3
, x
4
is 23. What is the value of x
1
?
17
18
19
20
Q.28
The average expenditure of a man for the first five months of a year is Rs. 5000 and for the next seven months it is Rs. 5400. He saves Rs. 2300 during the year. His average monthly income is-
Rs. 5425
Rs. 5446
Rs. 5500
Rs. 5600
Q.29
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.
47.55 kgs
48 kgs
48.55 kgs
49.25 kgs
Q.30
The average age of 30 students in a class is 15 years. If 6 students of this class have the average age of 16 years, then the average age of the remaining 24 students would be-
14 yrs
14 yrs 3 mths
14 yrs 6 mths
14 yrs 9 mths
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