|
The
captain of a cricket team of 11 members is 26 years old and the wicket keeper
is 3 years older. If the ages of these two are excluded, the average age of
the remaining players is one year less than the average age of the whole
team. What is the average age of the team?
|
||||||||
|
Let the average age of the whole team by x years.
11x –
(26 + 29) = 9(x -1)
11x –
9x = 46 2x =
46 x =
23.
So,
average age of the team is 23 years.
|
The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is: |
||||||||
|
EXPLANATION
Let
P, Q and R represent their respective monthly incomes. Then, we have:
P +
Q = (5050 x 2) = 10100 …. (i)
Q +
R = (6250 x 2) = 12500 …. (ii)
P +
R = (5200 x 2) = 10400 …. (iii)
Adding
(i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q +
R = 16500 …. (iv)
Subtracting
(ii) from (iv), we get P = 4000.
P’s monthly income =
Rs. 4000.|
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:
|
||||||||
|
EXPLANATION
Sum
of the present ages of husband, wife and child = (27 x 3 + 3 x 3) years = 90
years.
Sum
of the present ages of wife and child = (20 x 2 + 5 x 2) years = 50 years.
Husband’s present age
= (90 – 50) years = 40 years.|
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year? |
||||||||
|
|
In Arun’s opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest 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 are them are correct in their estimation, what is the average of different probable weights of Arun? |
||||||||||||
|
EXPLANATION
Let
Arun’s weight by X kg.
According
to Arun, 65 < X < 72
According
to Arun’s brother, 60 < X < 70.
According
to Arun’s mother, X <= 68
The
values satisfying all the above conditions are 66, 67 and 68.
|
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 target of 282 runs?
|
||||||||
|
EXPLANATION
|
2.
|
A
family consists of two grandparents, two 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?
|
|||||||
|
EXPLANATION
|
A
grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for
5 consecutive months. How much sale must he have in the sixth month so that
he gets an average sale of Rs. 6500?
|
||||||||
|
||||||||
|
Total sale for 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562)
= Rs. 34009.
 Required sale = Rs. [
(6500 x 6) – 34009 ]
= Rs. (39000 – 34009)
= Rs. 4991.
|
||||||||
|
The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero? |
||||||||
|
||||||||
|
The
average of 20 numbers is zero. Of them, at the most, how many may be greater
than zero?
|
||||||||
|
EXPLANATION
Average
of 20 numbers = 0.
Sum of 20 numbers (0
x 20) = 0.
It is quite possible that
19 of these numbers may be positive and if their sum is a then
20th number is (-a).
|
The
average weight of 8 person’s increases by 2.5 kg when a new person comes in
place of one of them weighing 65 kg. What might be the weight of the new
person?
|
||||||||||||
|
EXPLANATION
Total
weight increased = (8 x 2.5) kg = 20 kg.
Weight of new person = (65
+ 20) kg = 85 kg.
|
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:
|
||||||||
|
EXPLANATION
Let
A, B, C represent their respective weights. Then, we have:
A +
B + C = (45 x 3) = 135 …. (i)
A +
B = (40 x 2) = 80 …. (ii)
B +
C = (43 x 2) = 86 ….(iii)
Adding
(ii) and (iii), we get: A + 2B + C = 166 …. (iv)
Subtracting
(i) from (iv), we get : B = 31.
B’s weight = 31 kg.|
The
average weight of 16 boys in a class is 50.25 kg and that of the remaining 8
boys is 45.15 kg. Find the average weights of all the boys in the class.
|
||||||||
|
EXPLANATION
|
A library has an average
of 510 visitors on Sundays and 240 on other days. The average number of
visitors per day in a month of 30 days beginning with a Sunday is:
|
||||||||
|
EXPLANATION
|
If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, then the average marks of all the students is: |
||||||||
|
||||||||
|
A
pupil’s marks were wrongly entered as 83 instead of 63. Due to that the
average marks for the class got increased by half (1/2). The number of pupils
in the class is:
|
||||||||
|
