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.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.
Which vessel is the first Fast Patrol Vessel (FPV) inducted into the Indian Coast Guard out of the eight being built by Goa Shipyard Limited (GSL)?Â
The President shall in respect of every financial year cause to be laid before both the Houses of Parliament a statement of the estimated receipts and e...
Which state government recently unveiled the 'Mukhyamantri Teerth Darshan Yojana,' a pilgrimage scheme for senior citizens of all religions?
In the RBI’s circular on hedging foreign exchange risk, what is the maximum notional amount for derivative contracts involving INR without requiring u...
Which of the following is INCORRECT about Treaty of Bassein?
India has signed a MoU with which country to share the 'India Stack'?
Brice Oligui Nguema has been sworn in as the interim President of which country?
Which component accounted for the largest share of India’s external debt as of March 2025?
Prime Minister Narendra Modi was honoured with the ‘Key to the City’ of which South American capital in 2025?
Under the amended NPS exit rules, what is the maximum percentage a non-government subscriber can withdraw on normal exit? Â
Relevant for Exams:
