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What least number should be added to the predecessor of 38 to get a prime number which is greater than 40 and less than 50?
- a)4
- b)6
- c)10
- d)3
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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What least number should be added to the predecessor of 38 to get a pr...
To find the least number that should be added to the predecessor of 38 to get a prime number between 40 and 50, we need to follow a step-by-step approach.
Step 1: Determine the predecessor of 38.
The predecessor of a number is the number that comes before it. Therefore, the predecessor of 38 is 37.
Step 2: Find the prime numbers between 40 and 50.
To find the prime numbers between 40 and 50, we can check each number in that range to see if it is divisible by any number other than 1 and itself. The prime numbers between 40 and 50 are:
41, 43, 47
Step 3: Calculate the difference between each prime number and 37.
To determine the number that needs to be added to 37 to get a prime number between 40 and 50, we calculate the difference between each prime number and 37.
For 41: 41 - 37 = 4
For 43: 43 - 37 = 6
For 47: 47 - 37 = 10
Step 4: Choose the least number.
Among the differences calculated in step 3, the least number is 4. Therefore, the answer is option A) 4. Adding 4 to the predecessor of 38 (37 + 4) will result in the prime number 41, which is greater than 40 and less than 50.
Step 1: Determine the predecessor of 38.
The predecessor of a number is the number that comes before it. Therefore, the predecessor of 38 is 37.
Step 2: Find the prime numbers between 40 and 50.
To find the prime numbers between 40 and 50, we can check each number in that range to see if it is divisible by any number other than 1 and itself. The prime numbers between 40 and 50 are:
41, 43, 47
Step 3: Calculate the difference between each prime number and 37.
To determine the number that needs to be added to 37 to get a prime number between 40 and 50, we calculate the difference between each prime number and 37.
For 41: 41 - 37 = 4
For 43: 43 - 37 = 6
For 47: 47 - 37 = 10
Step 4: Choose the least number.
Among the differences calculated in step 3, the least number is 4. Therefore, the answer is option A) 4. Adding 4 to the predecessor of 38 (37 + 4) will result in the prime number 41, which is greater than 40 and less than 50.
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