SGPGI Nursing Officer-2024
Non Nursing Subjects
Medium
The sum of all those prime numbers which are not greater than 17 is?
Appeared in: SGPGI Nursing Officer-2024
Explanation
- A prime number is a whole number greater than 1 with only two divisors: 1 and itself.
- The phrase 'not greater than 17' means we must include all prime numbers up to and including 17.
- The prime numbers to be summed are 2, 3, 5, 7, 11, 13, and 17.
- The sum of these numbers is calculated as: 2 + 3 + 5 + 7 + 11 + 13 + 17 = 58.
Why Other Options Were Wrong
- Option A: This is an incorrect calculation of the sum. 59 is a prime number itself, but not the sum of primes up to 17.
- Option C: This value represents the sum of prime numbers strictly 'less than' 17 (2+3+5+7+11+13 = 41). The question specifies 'not greater than 17', which includes 17.
- Option D: This is an incorrect sum, likely resulting from a miscalculation.
Related Visual
Clinical Relevance
- Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Sum of Prime Numbers as background academic context rather than a clinical decision trigger.
- This question tests basic arithmetic and number theory, skills that are foundational for nursing calculations like drug dosages, IV drip rates, and interpreting lab results.
- Accuracy in basic math is a critical patient safety skill for nurses to prevent medication errors and ensure correct treatment delivery.
- What if? If the question asked for the sum of prime numbers 'between 5 and 15', the numbers would be 7, 11, and 13, and the sum would be 31.
How to Approach the Question
- First, carefully read the question to identify the key mathematical terms: 'sum', 'prime numbers', and the condition 'not greater than 17'.
- Recall the definition of a prime number: a whole number greater than 1 that can only be divided by 1 and itself.
- Interpret the condition 'not greater than 17' as 'less than or equal to 17' (≤ 17).
- Systematically list all the prime numbers that meet this condition: 2, 3, 5, 7, 11, 13, 17.
- Calculate the sum of these listed numbers.
- Double-check your addition to ensure accuracy.
Concept Tested & Keywords
- Concept Tested: Sum of Prime Numbers
- Stem keywords: sum, prime numbers, not greater than 17
- Lead-in keywords: is?
- Negative lead-in flag: false
Question ID
QslAgpmuNJT2QEC-eaXDOC
Practise the full SGPGI Nursing Officer-2024
Attempt every question from this paper in a timed mock, then review the full solution for each one.
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