Question
LCM of two numbers is 5 times their HCF. The product of
the numbers is 4500. What will be the maximum possible difference between the numbers?Solution
ATQ, Let HCF of two numbers be ‘x’ So, LCM of two numbers = 5 × x = 5x Or, x × 5x = 4500 Or, 5x² = 4500 Or, x² = 900 Or, x = √900 = 30 LCM of two numbers = 30 × 5 = 150 Let two numbers be ‘30a’ and ‘30b’, where ‘a’ and ‘b’ are co-prime numbers. So, 30ab = 150 Or, a × b = 5 So, when a = 1 and b = 5, then difference will be maximum Desired difference = 30 × 5 – 30 × 1 = 120
The headquarter of State Bank of India is located at:
The ______ Schedule to the Constitution of India defines and specifies allocation of powers and functions between Union & States.
Who is the current Administrator of Chandigarh?
In which year India became a part of the Mineral Security Partnership (MSP), which is led by the USA?
The concept of 'Freedom of Press' is protected under which article of the Indian Constitution?
Cleanest river in the world is ?
Who invented the light bulb?
राजस्थान उत्पादन में देष में प्रथम है ?
From the invisible part of Sunlight, the process of photosynthesis is performed by:
Which of the following is a famous rock-cut temple complex located in the state of Himachal Pradesh?
Relevant for Exams:
