PE 3 - Average | Arithmetic - Average
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The average of two numbers increases by 15 when one of the numbers is doubled and increases by 20 when the other number is doubled. What is the difference between the original numbers?
- (a)
25
- (b)
20
- (c)
10
- (d)
15
Solution
Discuss
ReportOf the 42 students in a hostel, 26 students are left. Due to this, the expenditure of the mess decreased by Rs. 110 per day, while the average expenditure per head increased by Rs. 5. What is the sum of original expenditure and the new expenditure of the mess?
- (a)
Rs. 1150
- (b)
Rs. 1100
- (c)
Rs. 1050
- (d)
None of these
The average of ten numbers is 35. If the smallest number is deleted from the list, the average of the remaining 9 numbers will be x and if the largest number is deleted, the average will be y. What is the average of the smallest and the largest numbers, if x + y = 20?
- (a)
260
- (b)
250
- (c)
240
- (d)
210
The average of n consecutive numbers is ‘a’. If any one number is deleted from these ‘n’ numbers, then the average of the remaining (n – 1) numbers cannot be less than
- (a)
a - 4/5
- (b)
a - 1/2
- (c)
a - 3/2
- (d)
a - 3/20
If A1 = avg (a, b, c) and A2 = avg (avg (a, b), avg (b, c), avg(c, a)), then
- (a)
A1 = A2
- (b)
A1 > A2
- (c)
A1 + A2 = 0
- (d)
A1 ≥ A2
How many pairs of positive integers, not more than 100, will have an average greater than 50?
- (a)
575
- (b)
1275
- (c)
2550
- (d)
5000
x is the average of three different integers, y is the average of minimum and maximum integers among the three. If x is two more than y, what is the absolute difference between x and the third integer, which is neither minimum nor maximum?
- (a)
0
- (b)
1
- (c)
2
- (d)
4
In a large packet, there are 7 boxes of different weights. If the average (arithmetic mean) weight of these boxes is 'a' pounds, which of the following could be the sum of weights of the 4 heaviest boxes?
- (a)
8a
- (b)
30a/4
- (c)
13a/3
- (d)
3.2a
If
A1 = avg(x1, x2,…xn),
A2 = avg(avg(x1, x2), avg(x2, x3)…, avg(xn-1, xn), avg(xn, x1),
A3 = avg(avg(x1, x2, x3)), avg(x2, x3, x4)…, avg(xn-2, xn+1, xn), avg(xn-1, xn, x1), avg(xn, x1, x2)).
Which of the following is true?
- (a)
A3 > A2
- (b)
A1 > A2
- (c)
A1 < A2
- (d)
A1 = A2 = A3