CAT 2020 Quant Question [Slot 1] with Solution 23

Question

Let A, B and C be three positive integers such that the sum of A and the mean of B and C is 5. In addition, the sum of B and the mean of A and C is 7. Then the sum of A and B is

  1. 6
  2. 5
  3. 7
  4. 4
Option: 1
Solution:

Given A, B and C are positive integers such that \(A + \frac{{B + C}}{2} = 5 \cdots (1)\)

\(B + \frac{{A + C}}{2} = 7 \cdots (2)\)

\((2) - (1) \Rightarrow \frac{B}{2} - \frac{A}{2} = 2 \Rightarrow B - A = 4\)

The least value for A=1 in which case B=5.

Hence \(A + B = 6\)

CAT 2021 Online Course @ INR 8999 only

CAT 2020 Quant questions with Solutions