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Select the option that is related to the fifth number in the same way as the fourth number is related to the third number and the second number is related to the first number.
37:43::23:31::17:?

  1. A
    19
  2. B
    23
  3. C
    21
  4. D
    25

Solution & Step-by-step Explanation

The logic followed in the pairs is that the second number is the immediate next prime number after the first number.
First pair: 37:43
The prime number immediately following 37 is 43.

Second pair: 23:31
The prime number immediately following 23 is 29. However, looking closely at the prime number series: 23,29,31,37,41,43.
Let's re-examine the consecutive prime numbers:

Prime numbers are: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,…

For 37:43, 43 is the first prime number after 37.

For 23:31, the prime numbers after 23 are 29 and then 31. Here, it skips one prime number (29) and takes the next one (31).

Let's check an alternative pattern: consecutive prime numbers.
The sequence of prime numbers related to the question is: 17,19,23,29,31,37,41,43.

For 37, the next prime number is 41, and the one after is 43. If it skips one prime number: 37→(skips 41)→43.

For 23, the next prime number is 29, and the one after is 31. If it skips one prime number: 23→(skips 29)→31.

Following the same logic for 17: the next prime number is 19, and the one after is 23. If it skips one prime number: 17→(skips 19)→23.

Therefore, the missing number is 23.

Practice this question

Try it yourself before checking the explanation above.

Select the option that is related to the fifth number in the same way as the fourth number is related to the third number and the second number is related to the first number.
37:43::23:31::17:?
A
19
B
23
C
21
D
25

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