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Practice Problems on Average | Math Quiz

Q1. The average weight of A, B and C is  45 kg, that of A and B is 40 kg and B and C is 43 kg. What is the weight of B?

• A) 17 kg
• B) 26 kg
• C) 20 kg
• D) 31 kg

Answer: (D) 31 kg

Weight of A+B+C = 45  × 3 = 135 kg .....(i) 
Wt. Of A+B = 40 × 2 = 80 kg .....(ii)
Weight of B + C = 43 × 2 = 86 kg ......
(iii)
Now on adding (ii) and (iii), 
wt. of A+2B+C = 166kg
A+B+ C = 135 kg ....given (i)
On Subtracting  (i)
B = 31 kg ..Ans

Q2. The average of following 5 numbers is 8, find the missing number in 7, 5, 3,12,?.

• A) 14
• B) 13
• C) 8
• D) 12

Answer: (B) 13

The sum of all numbers = 8 × 5 = 40
So, ? = 40 - (7+3+12+5) = 13 Ans.

Q3. The average of the first three numbers is double of the fourth number. if the average of all the four numbers is 12, find the 4th number.

• A) 16
• B) 20
• C) 18
• D) 48/7

Answer: (D) 48/7

Let the 4th number be x,
Then the average of first three numbers = 2x ,
So the sum of first 3 numbers = 2x × 3 = 6x,
Since the average of 4 numbers = 12.
Then sum of 4 numbers = 12 × 4 = 48.
so, 48 - 6x = x => 7x = 48,
x = 48/7 ..Ans.

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