Problem: Out of 85 football players… 42 have scored a goal and 54 have received a yellow card. If 5 players did not do either. what fraction of the players scored a goal and received a yellow card as well ?

View all: SONALI & JANATA BANK LTD (SO) IT / ICT WRITTEN QUESTION (MATH) SOLVE | 2018

Correct Answer: $\frac{16}{85}$

Explanation:

Given. total football players 85

Do not score a goal = 85 – 42 = 43 players

Do not receive a yellow card = 85 – 54 = 31 players

Do not score a goal or don‘t receive yellow card or do not do either = 43 + 31 – 5 = 69

Number of players who scored a goal and received a yellow end = 85 – 69 = 16

Required fraction = $\frac{16}{85}$.

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