CAT 2018 Slot 2 — QA Question 29
In a tournament, there are 43 junior level and 51 senior level participants. Each pair of juniors play one match. Each pair of seniors play one match. There is no junior versus senior match. The number of girl versus girl matches in junior level is 153, while the number of boy versus boy matches in senior level is 276. The number of matches a boy plays against a girl is
Answer & solution
Answer: 1098
The number of matches played in a group of ‘n’ peope = ââ
The number of girl vs girl matches in junior level = 153.
Therefore, = 153 ⇒ n = 18
Therefore there are 18 girls at junior level.
⇒ There are 43 - 18 = 25 boys at junior level.
The number of boy vs boy matches in senior level = 276.
Therefore, = 276 ⇒ n = 24
Therefore there are 24 boys at senior level.
⇒ There are 51 - 24 = 27 girls at senior level.
Therefore, we have
Therefore, the number of boys vs girls matches = 25 × 18 + 24 × 27 = 1098
Hence, 1098.