Question
The average of first three numbers of a set of six
numbers is 60 .The average of the second, third and fourth numbers is 20 and the average of the third, fourth and fifth numbers is 30. The average of last three numbers is 40. What is the average of first three and last three numbers of the set?Solution
We are given four conditions involving averages of groups of three numbers from a set of six numbers a,b,c,d,e,f:
We add these equations to get = a+2b+3c+3d+2e+f = 450 Then, using the known sums a+b+c =180 and d+e+f=120, we substitute them into the equation: 180+120+(b+2c+2d+e) = 450 This simplifies to:b+2c+2d+e=150 The total sum of all six numbers is 180+120 = 300. Therefore, the average of the first three and last three numbers is: 300/6 = 50
If 51 @ 24 = 9' and 56 @ 22 = 8', then 72 @ 32 = ?'. What will come in place of question mark?
Select the option in which the numbers are related in the same way as are the numbers of the following sets.
(8, 5, 43)
(6, 3, 21)
...Choose the word which is different from the rest
Select the option that is related to the third word in the same way as the second word is related to the first word.
Chichen Itza : Mexico :: ...
Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is relat...
‘Experimenter’ is related to ‘Lab’ in the same way as ‘Chef’ is related to ‘_________’.
Select the option that is related to the fourth term in the same way as the irst term is related to the second term.
ENWQ: DPTU :: CBUT : ?
If D = 12, AGE = 39, then ‘JADE’ will be equal to?
Audacious : Courageous : : Deflate : ______.
Select the option that is related to third number-cluster in the same way first and fifth number-cluster is related to second and sixth number-cluster....
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