In a set of numbers, if the number 30 is a multiple of a certain number 'X', whi

Practice Questions

Q1
In a set of numbers, if the number 30 is a multiple of a certain number 'X', which of the following could be 'X'?
  1. 5
  2. 7
  3. 10
  4. 12

Questions & Step-by-Step Solutions

In a set of numbers, if the number 30 is a multiple of a certain number 'X', which of the following could be 'X'?
  • Step 1: Understand what a multiple is. A number 'A' is a multiple of 'B' if you can divide 'A' by 'B' without leaving a remainder.
  • Step 2: Identify the number we are working with, which is 30.
  • Step 3: List the factors of 30. Factors are numbers that can divide 30 evenly.
  • Step 4: Find the factors of 30. They are 1, 2, 3, 5, 6, 10, 15, and 30.
  • Step 5: Check which of the given options (5 and 10) are factors of 30.
  • Step 6: Since both 5 and 10 can divide 30 evenly (30 ÷ 5 = 6 and 30 ÷ 10 = 3), they are valid options for 'X'.
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