Practice Quiz

SAT Math

Category - Number and Operations

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Let k be a positive integer. If 28 is divided by k, the remainder is 4. How many different values can k have?
  1. 0
  2. 1
  3. 2
  4. 3
  5. 4
Explanation
Answer: E - K can have 4 different values. 28 - 4 = 24 must be divisible by k. So, we need to find the factors of 24.
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24.
The solution is all factors of 24 greater than the remainder 4. These are 6, 8, 12, and 24. Therefore, k can have 4 values.
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