Start learning 50% faster. Sign in now
Given that a is divisible by 18 and b is divisible by 12, we need to determine what a²-b² is divisible by. The expression a²-b² can be factored as= a²-b²= (a-b) (a+b) Since a is divisible by 18, a can be expressed as a = 18m for some integer m. Since b is divisible by 12, b can be expressed as b = 12n for some integer n. The least common multiple (LCM) of 18 and 12 is 36. Therefore, both a band a+b is divisible by 6 (since they are sums or differences of multiples of 18 and 12). Thus, (a²-b²) is divisible by 36
Which one of the following recommended that the public health expenditure of the Union and State Governments together should be increased in a progressi...
How many of the following members from Rajya Sabha are there in Public Accounts Committee?
Prime Minister Shri Narendra Modi launched Skill India Mission in _______ that aimed totrain over 40 crore people in India in different skills by 2022.
The Airport Authority of India(AAI) started a scheme to encourage the talent of women, artisans and craftsmen and provide them with the right ...
1. Match List – I with List – II and select the correct answer using the codes given below the Lists.
Consider the following statements in reference to Harsha Chhina Mogha Morcha.
1. It was an agrarian revolt launched in June 1946 by remodellin...
Which one of the following statements is not true about United Nations Sustainable Development Goals (UNSDG)?
Mawsynram receives the highest average annual rainfall in the world because the Monsoon Winds of the Bay of Bengal
strike the _____________ hill.
Who among the following served as the first Chief Justice of India?
Expenditure of the government on health facilities, education and fixed-asset acquisition is termed as _________.