Question
What is the largest three-digit
number that leaves a remainder of 5 when divided by both 11 and 13? Call this number a. Additionally, what is the smallest four-digit number that is divisible by both 32 and 38? Call this number b. Determine the difference between b and a.Solution
ATQ, If a number leaves the same remainder when divided by two different numbers, then the number is the sum of a multiple of the two divisors and the remainder. Since, 11 × 13 = 143 And, 999 ÷ 143 ~ 6.98 So, largest 3 digit number that is multiple of 11 and 13 = 143 × 6 = 858 So, x = 858 + 5 = 863 Since, 'Q' is divisible by both 32 and 38. So, it must divisible by L.C.M of 32 and 38 = 608 So, smallest possible 4 digit number that is multiple of 608 = 608 × 2 = 1216 Therefore, required difference = 1216 - 863 = 353
Under whose chairmanship was the Official Language Commission set up in 1955?
. Which of the following statements is not correct in regards to Census 2011?
Who is responsible for the Ministry of Coal?
Which US-based company has developed 'smart guns' that use biometric identification technology to restrict firearm use only to authorized persons?
Who has been appointed as the new ambassador to the World Trade Organisation (WTO) in Geneva by the Indian government?
Who will lead the Indian team at the World Athletics Championships?
Which Indian Naval Ships visited Manila, Philippines as part of their South China Sea operational deployment?
When was the Ministry of Education (MoE) created?
What is the total estimated cost of the proposed Gorikund-Kedarnath Ropeway Project?
What is the primary focus of PM JANMAN?