Multiple choice

The average of 11 results is 50. If the average of the first 6 results is 49 and that of the last 6 is 52, then find the 6th result.

  1. 48

  2. 50

  3. 52

  4. 56

  5. 60

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D Correct answer
Explanation

Sum of 11 results = 11 * 50 = 550. Sum of first 6 = 6 * 49 = 294. Sum of last 6 = 6 * 52 = 312. The 6th result is counted twice: (294 + 312) - 550 = 606 - 550 = 56.

AI explanation

The sum of all 11 results is 11 multiplied by 50, which equals 550. The sum of the first 6 results is 6 multiplied by 49, which is 294, and the sum of the last 6 results is 6 multiplied by 52, which is 312. Adding these two sums gives 294 plus 312, totaling 606. Since the 6th result was counted twice in this total, its value is the difference between 606 and the overall sum of 550, which is 56.