# PE 2 - Average | Arithmetic - Average

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**PE 2 - Average | Arithmetic - Average**

There are five students whose average weight is 62 kgs. Then, four new students join the group whose weights are (a + 2), (a – 2), (a + 5) and 2a kgs more than the original average of the group. If the average weight of the group is now 67 kgs, find the value of a.

- (a)
8

- (b)
7

- (c)
6

- (d)
5

Answer: Option A

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**PE 2 - Average | Arithmetic - Average**

Harsh scored a total of 308 points in 28 basketball games. Karan played 10 fewer games than Harsh and his average score was 1.5 points per game higher than Harsh's average score. How many points in total did Karan score?

Answer: 225

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**Answer the next 4 questions based on the information given below.**

The following table shows some incomplete information about the runs scored by four batsmen in four innings.

**Additional information:**

- Average runs scored in the 1
^{st}innings for all the players were 101.25. - Rohit's average runs for all 4 innings were 1.5 times the runs scored by Dhawan in 1
^{st}innings. - Virat's average runs were 108.75 in all four innings.
- Total runs scored by Pant in all the four innings were 450.
- The runs scored in 2
^{nd}innings were 15 less than the runs scored in 1^{st}innings for all the players. - Rohit and Pant scored the same runs in 4
^{th}innings. - Sum of runs scored by all the players in the 4
^{th}innings is 405.

**PE 2 - Average | Arithmetic - Average**

The average runs scored by each player, per innings, are (rounded off to the nearest integer).

Answer: 96

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**PE 2 - Average | Arithmetic - Average**

Who scored the lowest runs in the 1st innings?

- (a)
Virat

- (b)
Rohit

- (c)
Dhawan

- (d)
Pant

- (e)
Cannot be determined

Answer: Option C

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**PE 2 - Average | Arithmetic - Average**

Who scored the highest total runs in all innings?

- (a)
Virat

- (b)
Rohit

- (c)
Dhawan

- (d)
Pant

- (e)
Cannot be determined

Answer: Option D

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**PE 2 - Average | Arithmetic - Average**

Who scored the least in the 2^{nd} innings?

- (a)
Virat

- (b)
Rohit

- (c)
Dhawan

- (d)
Pant

- (e)
Cannot be determined

Answer: Option C

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**PE 2 - Average | Arithmetic - Average**

A baseball team, which played 60 games, won 30% of its played games. After a phenomenal winning streak, this team raised its winning percentage to 50%. What is the least numbers of games the team must have additionally played in order to attain this average?

- (a)
18

- (b)
20

- (c)
24

- (d)
26

Answer: Option C

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**PE 2 - Average | Arithmetic - Average**

Avinash was asked to calculate the arithmetic mean of ten positive integers, each of which had two digits. By mistake, he interchanged the two digits, say a and b, in one of these ten integers i.e. ab. As a result, his answer for the arithmetic mean was 2.7 more than what it should have been. Then, b - a is equal to

- (a)
1

- (b)
2

- (c)
-2

- (d)
3

Answer: Option D

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**PE 2 - Average | Arithmetic - Average**

The average of x consecutive integers is n and the average of the next y consecutive integers is n + 6. Find the relation between x and y.

- (a)
x + y = 12

- (b)
x - y = 6

- (c)
x = y

- (d)
2x - y = 6

Answer: Option A

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**PE 2 - Average | Arithmetic - Average**

A group of students decided to buy speakers for a party worth Rs. 600. But at the last moment, five students backed out, so each of the remaining had to pay Rs. x more than what they had planned. If ten students had backed out, each of the remaining would have had to pay Rs. 10 more than what they had planned. Find the value of x and total number of students.

- (a)
Rs. 6, 50

- (b)
Rs. 4, 30

- (c)
Rs. 5, 30

- (d)
Rs. 4, 20

Answer: Option B

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