Question
LCM of two numbers is 8 times their HCF. The product of
the numbers is 10240. What will be the maximum possible difference between the numbers?Solution
ATQ, Let HCF of two numbers be ‘x’ So, LCM of two numbers = 8 × x = 8x Or, x × 8x = 10240 Or, 8x² = 10240 Or, x² = 1280 Or, x = √1280 = 35.78 (Approx 36) LCM of two numbers = 36 × 8 = 288 Let two numbers be ‘36a’ and ‘36b’, where ‘a’ and ‘b’ are co-prime numbers. So, 36ab = 288 Or, a × b = 8 So, when a = 1 and b = 8, then difference will be maximum Desired difference = 36 × 8 – 36 × 1 = 252
In which year did the Chauri Chaura incident take place?
Which of the following is a risk associated with implementation of green revolution in India?
I. It would Possibly increase the disparities betwe...
Which not-for-profit organization created history in December 2023, by becoming the first entity to be listed on the National Stock Exchange's (NSE) Soc...
The people of Sikkim celebrate Lhabab Dhnechen which is observed to mark the descent of ________ from heaven back to earth.
_____________ is one of the most important festivals of Kamakhya temple of Guwahati. It is held every year during the monsoon (mid-June) season, when th...
To which of the state does Sattriya classical dance belong?
Which of the following epidemics in 1918-19 killed 170 lakh people in India?
As per the Constitution of India, the subject of 'livestock and animal husbandry' is included in the:
Who has been launched as the official mascot by the Ministry of Consumer Affairs to promote consumer awareness?
What milestone has India Post Payments Bank (IPPB) recently achieved in terms of the number of customers benefiting from its financial services?
Relevant for Exams:
