Examples(Set 1) - Average
1. sampreet's special biryani has a sale of
₹
310
,
₹
280
,
₹
320
,
₹
340
and
₹
230
for
5
consecutive months. How much sale must he have in the sixth month so that he gets an average sale of
₹
300
?
A.
₹370
B.
₹420
C.
₹355
D.
₹400
Explanation:
Let the sale in the sixth month be= x
the average sale of all six months = ₹300
(310+200+320+340+230+x)/6 = 300
x=400
2. aashish calculates the average of
20
numbers as zero. How many of them may be greater than zero, at the most?
A.
1
B.
20
C.
0
D.
19
Explanation:
Average of 20 numbers = 0
⇒ sum of 20 numbers = 0 × 20 = 0
Hence at the most, there can be 19 positive numbers. For example, if the sum of these 19 positive numbers is x , 20 th number can be − x
such that net sum will be zero.
3. The captain Aditya of a football team of
11
members is
26
years old and the striker Vrushabh 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. Find out the average age of the team.
A.
21
years
B.
23
years
C.
24
years
D.
20
years
Explanation:
let the average age of the 9 players excluding the Captain Aditya and Vrushabh be =y
(sum of the ages of 9 players)/9=y
sum of ages of 9 players =9y
let the average age of the whole team be=x
(sum of the ages of 11 players)/11=x
sum of ages of 11 players =11x
given: x-1=y (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)
sum of 11 players =sum of 9 players + age of Aditya + age of Vrushabh
11x=9y+26+29
11x=9(x-1)+55
11x=9x-9+55
x=23
4.The average monthly income of Aarya and Raghav is
₹
5050.
The average monthly income of Raghav and Chetan is
₹
6250
and the average monthly income of Aarya and Chetan is
₹
5200.
What is the monthly income of Aarya?
A.
₹
2000
B.
₹
5000
C.
₹
4000
D.
₹
3000
Explanation:
Let monthly income of Aarya = a
monthly income of Raghav = b
monthly income of Chetan = c
a + b = 2 × 5050
b + c = 2 × 6250
a + c = 2 × 5200
solving the above three equations
a=4000
That is, monthly income of Aarya is ₹ 4000
5. In the first
5
overs of a cricket game, the run rate of RCB team was only
4
What should be the run rate in the remaining
15
overs to reach the target of
200
runs?
A.
12
B.
11.5
C.
13.2
D.
11
Explanation:
let the runs scored in the first 5 overs be=x
let the runs scored in the last 15 overs be =y
x+y =200
run rate in first 5 overs=4
x/5=4
x=20
x+y=200
y=180
run rate in last 15 overs=y/15
=180/5
=12
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