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
UPI is best classified as a:
Which research step comes first?
There are various costs associated with conducting surveys. Which of the set represents the correct ascending (least expensive to most expensive) order ...
Which factor belongs to personal factors influencing consumer behaviour?
Which strategy is most suitable during the maturity stage of the Product Life Cycle?
If a bank invests in financial literacy programs to improve long-term community welfare along with business growth, it follows:
Social networks are
Although research shows consumers are sensitive to ecological issues, they may NOT be willing to purchase a given product or service solely on the basis...
Which of the following is an example of non-durable goods?
Business Correspondents (BCs) help banks to:
