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Consider the following in respect of natural numbers a, b and c: 1. LCM(ab, ac) = a × LCM(b, c) 2. HCF(ab, ac) = a × HCF(b, c) 3. HCF (a, b) < LCM(a, b) 4. HCF(a, b) divides LCM(a, b) Where, a ≠ b ≠ c  Which of the above are correct?
Consider the following sentences: 1. If a = bc with HCF(b, c) = 1, then HCF(c, bd) = HCF(c, d). 2. If a = bc with HCF(b, c) = 1, then LCM(a, d) = LCM(c, bd). Which of the above statements is/are correct?
The LCM of two numbers is 28 times their HCF and the sum of their LCM and HCF is 493. The difference of the two numbers is 51. If s is the sum of the two numbers, then what is the sum of digits of s?
LCM of two numbers is 56 times their HCF, with the sum of their HCF and LCM being 1710. If one of the two numbers is 240, then what is the other number?
There are two distinct numbers A and B of which A is larger. If LCM and HCF of A and B are 525 and 15 respectively and their LCM is 7 times that of B, then what is the HCF of A and B when 5 is added to both A and B?
There are two numbers A and B (A > B) of two-digits each and their HCF is 18. If LCM and HCF of B and 45 are 270 and 9 respectively and the difference between digits of A is 5, then what is the LCM of A and B?
There are two numbers A and B and the sum of the square of both the numbers is 2197 and the multiplication of LCM and HCF of both the numbers is 1014, then LCM of A and B is how much times of their HCF?
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer. Quantity A: The LCM of two numbers is 40 times their HCF. The sum of the LCM and HCF is 1,476. If one of the numbers is 288, find the sum of digits of other number? Quantity B: A vendor has 748 oranges, 408 apples and 952 mangoes. If he packs the fruits into crates with an equal number of fruit without mixing them, what is the sum of digits of minimum number of crates required?
The LCM of two number is 45 times their HCF. If one of the numbers is 125 and the sum of HCF and LCM is 1150, the other number is:
HCF and LCM of two numbers P and Q are 16 and 560 respectively and when 8 is added to P and 20 is added to Q, then HCF and LCM become 20 and 600 respectively, then what is the ratio of the value of P to Q? Assume both P and Q are more than 50.