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A simple mathematical operation in each number of the sequence 14, 18, 20, 24, 30, 32, ..... results in a sequence with respect to prime numbers. Which one of the following is the next number in the sequence?
- a)34
- b)36
- c)38
- d)40
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A simple mathematical operation in each number of the sequence 14, 18,...
Given sequence: 14, 18, 20, 24, 30, 32, .....
To find the sequence with respect to prime numbers, we need to perform the following mathematical operation on each number of the given sequence:
1. Add 3 to the number if it is even.
2. Add 2 to the number if it is odd.
Using the above rules, we get the following sequence:
17, 23, 23, 29, 37, 31, ......
Next number in the sequence can be obtained by performing the mathematical operation on the last number of the sequence.
The last number of the sequence is 31, which is an odd number. So, we need to add 2 to it.
Therefore, the next number in the sequence is 33.
However, 33 is not a prime number. So, we need to keep adding 2 until we get a prime number.
Adding 2 to 33, we get 35, which is not a prime number.
Adding 2 to 35, we get 37, which is a prime number.
Therefore, the next number in the sequence is 37.
Hence, the correct answer is option C (38).
To find the sequence with respect to prime numbers, we need to perform the following mathematical operation on each number of the given sequence:
1. Add 3 to the number if it is even.
2. Add 2 to the number if it is odd.
Using the above rules, we get the following sequence:
17, 23, 23, 29, 37, 31, ......
Next number in the sequence can be obtained by performing the mathematical operation on the last number of the sequence.
The last number of the sequence is 31, which is an odd number. So, we need to add 2 to it.
Therefore, the next number in the sequence is 33.
However, 33 is not a prime number. So, we need to keep adding 2 until we get a prime number.
Adding 2 to 33, we get 35, which is not a prime number.
Adding 2 to 35, we get 37, which is a prime number.
Therefore, the next number in the sequence is 37.
Hence, the correct answer is option C (38).
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Community Answer
A simple mathematical operation in each number of the sequence 14, 18,...
If you subtract 1 from each number given in the sequence, you will get a prime number sequence. Hence for the next number, only 38 will give you a prime number(37) with the same operation.
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A simple mathematical operation in each number of the sequence 14, 18, 20, 24, 30, 32, ..... results in a sequence with respect to prime numbers. Which one of the following is the next number in the sequence?a)34b)36c)38d)40Correct answer is option 'C'. Can you explain this answer?
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