Question: If x ≡ 4 (mod 6), which of the following could be a possible value of x?
Options:
10
8
2
12
Correct Answer: 10
Solution:
10 mod 6 = 4, so x could be 10.
If x ≡ 4 (mod 6), which of the following could be a possible value of x?
Practice Questions
Q1
If x ≡ 4 (mod 6), which of the following could be a possible value of x?
10
8
2
12
Questions & Step-by-Step Solutions
If x ≡ 4 (mod 6), which of the following could be a possible value of x?
Step 1: Understand what 'x ≡ 4 (mod 6)' means. This means that when x is divided by 6, the remainder is 4.
Step 2: Write down the possible values of x that give a remainder of 4 when divided by 6. These values can be found by starting from 4 and adding multiples of 6: 4, 10, 16, 22, etc.
Step 3: Check if 10 is one of the values we found. Since 10 is in the list (4 + 6 = 10), it is a possible value for x.
Step 4: Conclude that x could be 10 because it satisfies the condition of having a remainder of 4 when divided by 6.
Modular Arithmetic – Understanding congruences and how to find equivalent values under a modulus.
Finding Equivalent Values – Identifying numbers that satisfy a given modular condition.
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