Question
The Least Common Multiple (LCM) of two numbers is 15
times their Highest Common Factor (HCF). The product of these two numbers is 15,360. What is the maximum possible difference between these numbers?Solution
Let HCF of two numbers be ‘x’ So, LCM of two numbers = 15 × x = 15x Or, x × 15x = 15360 Or, 15x2 = 15360 Or, x2 = 1024 Or, x = 32 LCM of two numbers = 32 × 15 = 480 Let two number be ‘32a’ and ‘32b’, where ‘a’ and ‘b’ are co-prime numbers. So, 32ab = 480 Or, a × b = 15 So, when a = 1 and b = 15, then difference will be maximum Desired difference = 32 × 15 – 32 × 1 = 448
RBI has imposed a penalty of ₹2.27 crore based on the deficiencies in regulatory compliance on which Bank?
Consider the following statements about Noma disease:
1. It is a rapidly progressing severe gangrenous disease of the skin.
...
According to the IMF World Economic Outlook report, what is India’s growth rate in 2023?
What is the target percentage of women's representation in the aviation sector by 2025, as per DGCA’s advisory circular?
Cherrapunji and Mawsynram are located south of which hill range?
What is the primary purpose of the 25T Bollard Pull Tug 'Mahabali' launched at M/s Shoft Shipyard Pvt Ltd, Bharuch, Gujarat?
What is the annual income criteria for an student to get the benefit under the “Post-Matric Scholarship Scheme For ST Students”?
By which date is the Telangana government aiming to roll out the Bhu Bharati portal across the state?
What is one of the core aims of India’s new National Sports Policy approved in July 2025?
What groundbreaking initiative did the UN General Assembly adopt concerning AI systems?
Relevant for Exams:
Hey, Don't leave. If you have any queries regarding any exam let us know here.
