Final answer:
To determine what can be true for the average of the remaining tests, we analyze the given information. The average of the remaining tests, x, must be less than or equal to 85 (x ≤ 85), based on the calculations explained in the detailed answer.
Step-by-step explanation:
To find out what can be true for the average of the remaining tests, let's analyze the information given.
From the information provided, we know that Kanaka took 8 tests and her mean score was 90. This means that the sum of her scores on the 8 tests would be 8 times 90, which is 720.
To determine if more than a quarter of her tests have scores less than 85, we need to find the number of tests with scores less than 85. Since we know the sum of her scores is 720, we can subtract 85 multiplied by the number of tests with scores less than 85 from 720.
The remaining tests would then have a sum equal to the remaining score, which is 720 minus the score for the tests with scores less than 85. If we divide the remaining score by the number of remaining tests, we can find the average, x.
To summarize, if the average of the remaining tests is x, it must be true that x is less than or equal to 85 (x ≤ 85), since we subtracted the scores less than 85 from the sum of the 8 tests to get the remaining score.
Therefore answer is D) x > 90.