Question
Find the largest number that divides 400, 500, and 600,
leaving remainders 10, 20, and 30 respectively.Solution
Let the required number be x. When dividing 400 by x, the remainder is 10, so 400 - 10 = 390 is divisible by x. When dividing 500 by x, the remainder is 20, so 500 - 20 = 480 is divisible by x. When dividing 600 by x, the remainder is 30, so 600 - 30 = 570 is divisible by x. Now, we need to find the greatest common divisor (GCD) of 390, 480, and 570. Prime factorizations: 390 = 2 * 3 * 5 * 13 480 = 2^5 * 3 * 5 570 = 2 * 3 * 5 * 19 The GCD is 2 * 3 * 5 = 30. Therefore, the required number is 30.
Which of following breed of sheep is also called 'Merino of Rajasthan'?
Toxicant found in Spices is
The way projects are planned and carried out that sequence is often called the "project cycle". Which of the following stage is the most crucial phase o...
Prosopis cinerea and Cenchrus ciliaris are good fodder tree + grass combination for
To meet the new challenges in agriculture through NARS strong and supportive ______________ policies are very imperative.
Which of the following is a function of cuboidal epithelial tissue?Â
Calculate the plant population of maize in 6000 m² area, if it is sown at a spacing of 60cm × 25 cm
. Which of the following fish is viviparous?
Which of the following is responsible for seed dormancy?
Hardy-Weinberg law is applicable for maintainence of genetic purity of