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Question

What is the average number of people who read only TOI, The Hindu and Economic Times only and all three newspaper?

A 35 Correct Answer Incorrect Answer
B 20 Correct Answer Incorrect Answer
C 40 Correct Answer Incorrect Answer
D 32 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 Required Average = (70+30+20)/3 = 120/3 = 40

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