Multiple choice

The average (arithmetic mean) of k, l, m and n is 10. Quantity A Average of k and l, if the sum of m and n is 20 Quantity B Value of k, if the sum of l, m and n is 30

  1. Quantity A is greater.

  2. Quantity B is greater.

  3. The two quantities are equal.

  4. The relationship cannot be determined from the information given.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Average of k, l, m, n = 10 implies k+l+m+n = 40. Quantity A: (k+l)/2. If m+n=20, then k+l=20, so A=10. Quantity B: k. If l+m+n=30, then k=10. Both are 10.

AI explanation

The sum of all four variables is 10 multiplied by 4, giving a total of 40. For Quantity A, since the sum of m and n is 20, the sum of k and l must be 40 minus 20, which is 20, making their average 10. For Quantity B, since the sum of l, m and n is 30, the value of k is 40 minus 30, which is 10. Since both quantities evaluate to exactly 10, the two quantities are equal.

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