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17,19, p,29,31,q,41 is a list of prime numbers in ascending order. What is the value of q−p?
- a)60
- b)37
- c)23
- d)14
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
17,19,p,29,31,q,41is a list of prime numbers in ascending order. What ...
Prime numbers between 17 and 41 are 17,19,23,28,31,37,41.
∴ p=23,q=37
. ⇒ q−p=37−23=14
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Most Upvoted Answer
17,19,p,29,31,q,41is a list of prime numbers in ascending order. What ...
Understanding the Sequence of Prime Numbers
To solve the question, we first need to identify the missing prime numbers represented by "p" and "q" in the sequence:
17, 19, p, 29, 31, q, 41.
Identifying the Missing Primes
- The prime numbers less than 41 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41.
- From the sequence, we can see that:
- The numbers 17 and 19 are already present.
- The next prime number after 19 is 23.
- After 23, the next primes are 29 and 31.
- The prime number following 31 is 37, and before 41 is 41.
Thus, we can conclude:
- p = 23
- q = 37
Calculating the Difference q - p
Now, we need to find the value of q - p:
- Substitute the values:
- q = 37
- p = 23
- Calculation:
- 37 - 23 = 14
Conclusion
Therefore, the value of q - p is 14, which corresponds to option 'D'.
To solve the question, we first need to identify the missing prime numbers represented by "p" and "q" in the sequence:
17, 19, p, 29, 31, q, 41.
Identifying the Missing Primes
- The prime numbers less than 41 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41.
- From the sequence, we can see that:
- The numbers 17 and 19 are already present.
- The next prime number after 19 is 23.
- After 23, the next primes are 29 and 31.
- The prime number following 31 is 37, and before 41 is 41.
Thus, we can conclude:
- p = 23
- q = 37
Calculating the Difference q - p
Now, we need to find the value of q - p:
- Substitute the values:
- q = 37
- p = 23
- Calculation:
- 37 - 23 = 14
Conclusion
Therefore, the value of q - p is 14, which corresponds to option 'D'.
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17,19,p,29,31,q,41is a list of prime numbers in ascending order. What is the value of q−p?a)60b)37c)23d)14Correct answer is option 'D'. Can you explain this answer?
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