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    Question

    What is the difference between the total number of males

    and females in the building?
    A 25 Correct Answer Incorrect Answer
    B 52 Correct Answer Incorrect Answer
    C 65 Correct Answer Incorrect Answer
    D 56 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 Total number of males =5/8 of 40 + 7/10 of 70 + 11/20 of 100 + 4/5 of 10 + 7/15 of 30 +2/5 of 50+ 3/4 of 20 Total number of females = 320 - 186 = 134 Required difference = 186 – 134 = 52

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