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If the mean of A and B is 30, the mean of C and D is 20, then which of the following is/are correct ?…

Given \(A + B = 60\) and \(C + D = 40\), the sum of the means of \((B, C)\) and \((A, D)\) is \(\frac{B+C}{2} + \frac{A+D}{2} = \frac{100}{2} = 50\). If \(A = B = 30\) and…

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If the mean of A and B is 30, the mean of C and D is 20, then which of the following is/are correct ?
I. The mean of B and C must be greater than 25.
II. The mean of A and D must be less than 25.

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Answer and explanation

Correct answer D

Given A+B=60A + B = 60 and C+D=40C + D = 40, the sum of the means of (B,C)(B, C) and (A,D)(A, D) is B+C2+A+D2=1002=50\frac{B+C}{2} + \frac{A+D}{2} = \frac{100}{2} = 50. If A=B=30A = B = 30 and C=D=20C = D = 20, both means equal 2525, so neither statement I nor II necessarily holds.

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  • Rajasthan Clerk Grade 2

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