📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    Question

    Average of four consecutive prime numbers S1, S2, S3,

    and S4 is (16 + x). If the average of S1 and S2 is (12 + x) and the average of S3 and S4 is (12 + 3x), then find S4.
    A 35 Correct Answer Incorrect Answer
    B 29 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Sum of S1, S2, S3, and S4 = (16 + x) × 4 = 64 + 4x Sum of S1 and S2 = (12 + x) × 2 = 24 + 2x Sum of S3 and S4 = (12 + 3x) × 2 = 24 + 6x Now, setting the equations equal: 24 + 2x + 24 + 6x = 64 + 4x Or, x = 4 Sum of S3 and S4 = 24 + 6 × 4 = 48 S3, S4 = 23, 29 Hence, None of these pairs sum to 48. Therefore, there is no pair of consecutive primes summing to 48 in the standard set of known primes.

    Practice Next
    More Average Questions

    Relevant for Exams:

    ask-question