Others Maths Puzzle

There are two groups of children - group A and group B. The number of children in each group equals the average age (in years) of the children in the other group. The number of children in group A is twice the number of children in group B. If the average age of children in both groups put together is 12 years, how many children are there in group B?

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Others Other Question

A society of 380 people organized a tournament comprising three different games. The number of
people who participated in at least two games was 42% more than those who participated in exactly
one game. At least one person participated in exactly n games, where n = 1, 2, 3. If the number of
people who did not participate in any of the three games was minimum possible, then what was the
maximum possible number of people who participated in exactly two games?
(a) 149 (b) 150 (c) 212 (d) 213 In the figure above, the floor of a square foyer is shown. The foyer is partially covered with a circular rug which extends to the outer edges of the floor as shown. What is the area of the floor not covered by the rug?
(1) The area of the foyer is 16sq m.
(2) The area of the rug is 4p sq m.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements together are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.