Bunuel wrote:

There are X watermelons of 10 Kg each, and Y Watermelons of R Kg each. The average weight of a watermelon is 12 Kg. What is the value of R?

(1) There are five heavier watermelons more than lighter watermelons.

(2) The weight of the heavier watermelons in Kg is equal to their number

10X+RY = 12 (X+Y)

(1) There are five heavier watermelons more than lighter watermelons.

Since Avg> 10, R >10

Y = X+5

10X + R(X+5)= 12 (X + X+5)

We have two variables in the equation. Not possible.

(2) The weight of the heavier watermelons in Kg is equal to their number

Y=R

Not sufficient as we will still have two variables.

Combining both statements

R=Y=X+5

Putting R= X+5 in 10X + R(X+5)= 12 (X + X+5) , we will get the equation with one variable. Hence, Sufficient.

C is the answer

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