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Directions (1-5): Study the following information carefully and answer the given question.
In a class, certain number of marbles (3 colours) are distributed among students. It is found that number of students who got red coloured marbles is 37.5% of total students and number of students who got all the three colours of marbles is of total number of students. 52.5% of total students got black marbles and 57.5% got green coloured marbles. Number of students who got both red and black marbles but not green is double the number of students who got all three colours and half of the number of students who got black and green but not red marbles. Number of students who got all three colours of marbles is 10.
Q1. How many students got red and green marbles but not black?
(a) 15
(b) 20
(c) 25
(d) 30
(e) 35
Q2. Number of students who got exactly two colour of marbles is
(a) 55
(b) 60
(c) 67
(d) 70
(e) 75
Q3. Number of students who got at least two colours of marbles is
(a) 105
(b) 100
(c) 95
(d) 90
(e) 85
Q4. What is the ratio of number of students who got only red to number of students who got only green marbles?
(a) 4 : 5
(b) 3 : 2
(c) 2 : 5
(d) 3 : 5
(e) 1 : 2
Q5. What percentage of total students got exactly one colour of marbles?
(a) 55%
(b) 57.5%
(c) 60%
(d) 62.5%
(e) 75%
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