Averages Questions for CAT with Answers PDF

Will always decrease since the net value transferred from B to A will be higher than the net value transferred
from A to B.

The maximum possible value for B will happen when the A to B transfer has the maximum possible valueand the reverse transfer has the minimum possible
value.

Since the lowest score in Class B is 23 which is more than the highest score of any student in class A. Hence, A’s average will always increase.

Cannot say since there is no indication of the values of the numbers which are transferred.

The effect on A will depend on the profile of the people who are transferred. Hence, anything can
happen.

If C increases, then the average of C goes up from 30. For this to happen it is definite that the average of B should drop.

Definitely decrease, since the highest marks in Class A is less than the lowest marks in Class B.

Monthly estimates of income is reduced as the denominator
is increased from 12 to 14 at the same time the monthly estimate of expenditure is increased as the denominator is reduced from 12 to 9. Hence, the savings will be underestimated

The maximum possible value for C will be achieved when the transfer from C is of five 26’s and the
transfer back from B is of five 31’s. Hence, difference is totals will be +25. Hence, max. average =
(900 + 25)/30 = 30.833.
[Note here that 900 has come by 30*30]

For the maximum possible value of Class B the following set of operations will have to hold:
Five 33’s are transferred from C to B, whatever goes from B to A comes back from A to B, then
five 23’s are transferred from B to C. This leaves us with:
Increase of 50 marks → average increases by 2 to 27.