Iam a number between 17 and 25 i am a multiple of 3 but not a multiple of 6
The correct Answer and Explanation is:
The correct answer is 21.
Explanation
To solve this riddle, we need to find a number that satisfies three conditions:
- It is between 17 and 25
- It is a multiple of 3
- It is not a multiple of 6
Let’s examine each step carefully.
Step 1: Identify numbers between 17 and 25
The numbers between 17 and 25 are:
18, 19, 20, 21, 22, 23, 24
Step 2: Select multiples of 3 from the list
A multiple of 3 is any number that results from multiplying 3 by a whole number. From the list above, the multiples of 3 are:
- 18 (3 × 6)
- 21 (3 × 7)
- 24 (3 × 8)
So now, we’re left with:
18, 21, 24
Step 3: Eliminate multiples of 6
A number is a multiple of 6 if it is divisible by both 2 and 3.
Let’s check each:
- 18: Divisible by 2 and 3 → Multiple of 6 → Eliminate
- 21: Divisible by 3, not by 2 → Not a multiple of 6 → Keep
- 24: Divisible by 2 and 3 → Multiple of 6 → Eliminate
So, the only number that meets all three conditions is 21.
Why 21 Is the Correct Answer
- It is greater than 17 and less than 25 ✅
- 21 ÷ 3 = 7 → It is a multiple of 3 ✅
- 21 ÷ 6 = 3.5 → It is not a multiple of 6 ✅
Thus, 21 is the only number that satisfies all three conditions in the riddle. This kind of logical reasoning is helpful in solving pattern and number puzzles in both mathematics and aptitude tests.
