Average salary
= 8000 + 5000 + 11000 + 7000 + 9000 / 5
= Rs. 8000
Average = sum of 6 numbers / 6
= ( 13 + 17 + 25 + 11 + 26 + 10 ) / 6
= 102 / 6
= 17
Present average age of family
= 25 year
3 year ago average of family
= 25 - 3 = 22 years
Average number of pencils
= ( 8 + 10 + 15 ) / 3
=11
Average = (8 + 9 + 12 + 13 + 15 + 9)/6
= 66 / 6
= 11
Given that
x = 1305, y = 4665, z = 6905
Then ,
|x - y| = |1305 - 4665| = 3360
|y - z] = |4665 - 6905| = 2240
|z - x| =|6905 -1305| = 5600
? Required number = HCF of 3360, 2240 and 5600 = 1120
On dividing 1305 by 1120, remainder is 185.
On dividing 4665 by 1120, remainder is 185.
On dividing 6905 by 1120, remainder is 185.
? Common remainder = 185
Actual average
=( 100 + 220 + 300 + ... + 1000 ) / 10
=550
New Average = 550 / 5
=110
Average number of T. V. sets
= ( 20 + 30 + 60 + 80 + 50 ) / 5
= 48
Required average
= (( 7 - 1 ) + ( 8 - 1 ) + ( 10 - 1 ) + ( 13 - 1 ) + (6 - 1) +( 10 - 1 ) )/ 6
= ( 7 + 8 +10 + 13 + 6 + 10 ) / 6 - ( 6 x 1 ) / 6
=9 - 1 = 8
Required average
= Old average + New average
= 60 + 6 = 66
Now required average
= old average x Multiplicand
= 6 x 2 = 12
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