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.
Justice Revati Mohite Dere was sworn in as the first woman Chief Justice of which High Court?Â
Who won the Belgian Grand Prix after George Russell's disqualification?
- Which Indian state became the top recipient of Foreign Direct Investment (FDI) in FY25?
In which river will India’s first solar-powered boat be launched?
Which entity recently launched the second international banking centre in Chennai to cater to the financial needs of global Indians?
Who won the Prime Minister election in Mauritius on November 11, 2024?
Which state recently joined the Ayushman Bharat PM-JAY scheme?
- Which central agency approved the River Cities Alliance (RCA) master plan?
Government has advanced the target of 20% ethanol blending in petrol from earlier 2030 to ______.
REC Limited has signed an agreement with which organization to aid in the education of approximately 75,500 children in the Siddharthnagar, UP?
Relevant for Exams:
