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    Question

    What the ratio of males who read only ‘The Hindu’ to the Female who read all three newspaper?

    A 5:2 Correct Answer Incorrect Answer
    B 2:3 Correct Answer Incorrect Answer
    C 5:1 Correct Answer Incorrect Answer
    D 3:4 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the number of people who read ‘The Hindu and TOI (Only)’ be x Let the number of people who read ‘The Hindu and Economic Times (Only)’ be y. Let the number of people who read ‘TOI and Economics Times (Only)’ be z. Given that: 40 + 20 +x +y = 100 =>x+y = 40 ---- (i) 70 + 20 +x+z = 150 =>x+z = 60 ----(ii) 100 + 20 +y+z = 200 =>y+z = 80 -----(iii) Adding eq. (i), (ii) and (iii), we get 2 (x+y+z) = 180 x+y+x = 90 ----(iv) Now, subtracting (iv) by (i), we get z= 50 Now, subtracting (iv) by (ii), we get y= 30 Now, by subtracting (iv) by (iii), we get X=10 Number of males who read only ‘The Hindu’ =5/8 of 40 = 25 Number of females who read all three newspaper =1/4 of 20 = 5 Required ratio = 25: 5 = 5 : 1

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