General Questions
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Hence, required average
| = | 10 + 15 + 20 + 25 + 30 | = | 100 | = 20 |
| 5 | 5 |
Required average
| = | 3(1 + 2 + 3 + 4 + 5) | = | 45 | = 9 |
| 5 | 5 |
Average of 20 numbers = 0.
Sum of 20 numbers (0 x 20) = 0.
It is quite possible that 19 of these numbers may be positive and if their sum is a then 20th number is (-a).
Let the number be x, x + 2, x + 4, x + 6, and x + 8.
Then,
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 61
5
5x + 20 = 305
x = 57
So, required difference = (57 + 8) - 57 = 8
Since the month begins with a Sunday, so there will be five Sundays in the month.
Required average :
| = | 510 x 5 + 240 x 25 | = | 8550 | = 285. |
| 30 | 30 |
Excluded number = (27 x 5) - (25 x 4)
= 135 - 100 = 35.
Sum of the remaining two numbers
= (3.95 x 6) -[(3.4 x 2) + (3.85 x 2)]
= 23.70 - (6.8 + 7.7)
= 23.70 - 14.5
= 9.20
Required average = 9.2/2 = 4.6
Let A, B, C represent their respective weights. Then, we have:
A + B + C = (45 x 3) = 135 .... (i)
A + B = (40 x 2) = 80 .... (ii)
B + C = (43 x 2) = 86 ....(iii)
Adding (ii) and (iii), we get: A + 2B + C = 166 .... (iv)
Subtracting (i) from (iv), we get : B = 31.
B's weight = 31 kg.
Required average :
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| = 54.68 |
Correct sum = (36 x 50 + 48 - 23)
= 1825
Correct mean = |
1825 | = 36.5 |
| 50 |

