Question
The product of two positive
integers is 121 times the product of one integer and the reciprocal of the other. If the sum of these two integers is 28, find the square of the larger integer.Solution
ATQ, Let the two integers be ‘x’ and ‘y’ where x > y. Then, according to the question, x × y = x × (1/y) × 121 Or, xy = (121x/y) Or, 121x = xy2 So, y = √121 = 11 {since, ‘x’ and ‘y’ are positive integers} So, x = 28 – 11 = 17 Therefore, x2 = 172 = 289
Who among the following won a silver medal at the 13th European Girls’ Mathematical Olympiad (EGMO) 2024?
With reference to Maharashtra’s geo-tagged 13-digit Infra ID system, consider the following statements:
1. From October 1, 2025, all infrastruc...
Which political leader’s birth centenary was commemorated with the release of a coin by Raksha Mantri Rajnath Singh on August 18, 2024?
Fill in the blanks with the correct options regarding recent decisions of the Employees’ State Insurance Corporation (ESIC):
1. The one-time am...
Which organization established NPCIBHIM Services Ltd as a whollyowned subsidiary?
With reference to Microsoft’s newly launched BioEmu AI system, consider the following statements:
1. BioEmu has been developed by Microsoft Res...
With reference to the Banking Laws (Amendment) Act, 2025, consider the following statements:
1. The Act redefines the threshold for ‘substantia...
Who has assumed the presidency of the Financial Action Task Force (FATF) for the term 2024-2026?
In which state of India is the Pobitora Wildlife Sanctuary located?
Who is the first female Subedar in the Indian Army?
Relevant for Exams:
