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What will come in place of question mark...

What will come in place of question mark (?) in the given question
44 41 36 29 18 ?

A

5

B

11

C

3

D

7

Text Solution

AI Generated Solution

The correct Answer is:
To find the missing number in the sequence 44, 41, 36, 29, 18, ?, we will analyze the differences between the consecutive numbers. 1. **Step 1: Identify the differences between consecutive terms.** - 44 to 41: 44 - 41 = 3 - 41 to 36: 41 - 36 = 5 - 36 to 29: 36 - 29 = 7 - 29 to 18: 29 - 18 = 11 So, the differences are: 3, 5, 7, 11. **Hint:** Look for a pattern in the differences between the numbers. 2. **Step 2: Recognize the pattern in the differences.** - The differences are 3, 5, 7, and 11. These numbers are all prime numbers. - The sequence of prime numbers starts with 2, 3, 5, 7, 11, and the next prime number after 11 is 13. **Hint:** Identify if the differences follow a specific sequence or pattern. 3. **Step 3: Calculate the next difference.** - Since the last difference we used was 11, the next difference should be 13 (the next prime number). **Hint:** Determine the next number in the series of prime numbers. 4. **Step 4: Subtract the next difference from the last number in the sequence.** - Now, we will subtract 13 from the last number in the sequence, which is 18. - 18 - 13 = 5. **Hint:** Perform the subtraction to find the missing number. 5. **Step 5: Conclusion.** - The missing number that replaces the question mark (?) is 5. Thus, the final answer is 5. **Final Answer:** 5
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