If a number leaves a remainder of 1 when divided by 3 and a remainder of 2 when divided by 4, what is the smallest positive integer that satisfies these conditions?
Practice Questions
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Q1
If a number leaves a remainder of 1 when divided by 3 and a remainder of 2 when divided by 4, what is the smallest positive integer that satisfies these conditions?
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The smallest number that satisfies both conditions is 11 (11 % 3 = 2 and 11 % 4 = 3).
Questions & Step-by-step Solutions
1 item
Q
Q: If a number leaves a remainder of 1 when divided by 3 and a remainder of 2 when divided by 4, what is the smallest positive integer that satisfies these conditions?
Solution: The smallest number that satisfies both conditions is 11 (11 % 3 = 2 and 11 % 4 = 3).
Steps: 14
Step 1: Understand the problem. We need to find a number that gives a remainder of 1 when divided by 3 and a remainder of 2 when divided by 4.
Step 2: Write down the conditions mathematically. We can express the conditions as: Number % 3 = 1 and Number % 4 = 2.
Step 3: Start testing positive integers to find the smallest number that meets both conditions. Begin with 1 and go up.
