Wipro Solved Placement Papers - Averages
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Find 3 solved questions from Averages section.
1) Find the average of first 20 natural numbers
a) 10.5
b) 20.5
c) 15
Answer:
Sum of first n natural numbers = n(n + 1)/2
Therefore sum of first 20 natural numbes = 20(21)/2 = 210
Average = 210/20 = 10.5
2) In a classroom, average weight of 4 students was 60 Kgs. A new entrant, Rahim, increased the average to 62.
Then can you find the weight of Rahim?
a) 65
b) 70
c) Cannot be determined
Answer: Since the average weight of 4 students was 60 Kgs, their total weights added = 4 x 60 = 240 Kgs
Let x be Rahim's weight. Then new average = (240 + x)/5 = 62
240 + x = 310. Therefore x = Rahim's weight = 70 Kgs.
3) Find the average of first 10 numbers in the series - 1,4,7......
a) 14.5
b) 12.5
c) 10.5
Answer: The given sequence is in the form of AP (arithmetic progression).
Consider an AP : a, (a + d), (a + 2d), (a + 3d),(a + 4d),....
Sum to n no of terms Sn = n / 2 (2a + (n - 1)d)
Average of n numbers in an AP = Sn/n = (2a + (n - 1)d)/2
Substituting a = 1, d = 3 and n = 10, we get average = 14.5 by above formula
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