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Question

Directions (181 – 185): Study the following and answer the questions that follow: There are some Astronauts who were going to three different missions – Mars, Moon and Venus. Number of Astronauts who were going to Mars is 225, of which % Astronauts who were going to both Mars and Moon. The number of Astronauts who were going to Moon and Venus only are % greater than those who were going to all the three missions. The number of Astronauts who were going to Venus but not Moon is 185. The number of Astronauts who were going to Moon only is 95 less than those who were going to Venus but not Moon. The number of Astronauts who were going to Moon but not Mars 150. The number of Astronauts who were going to both Mars and Venus only is 75.

What is the number of Astronauts who were going to both Mars and Moon only?

A 80 Correct Answer Incorrect Answer
B 180 Correct Answer Incorrect Answer
C 120 Correct Answer Incorrect Answer
D 60 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Number of Astronauts who were goint to Mars is 225 so (a+e+g+f) = 225 of which 26(2/3)% Astronauts were going only on mars and moon so f = 26 (2/3)% of 225 = 60 the number of astronauts who were going to both moon and venus are 33(1/3)% greator than those who were going to all the three missions, so d is 33(1/3)% greator than g the number of astronauts who were going to venus but not moon is 185. so  c + e = 185 (means venus and mars) 

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