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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?
The LCM of the two numbers is 143 times their HCF. If both the numbers are 3 digit numbers and their HCF is 18, then what is the sum of the reciprocals of those two numbers?
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?
HCF of 132, 156 and 192 is x, HCF of 105, 150 and 210 is y, and HCF of 112, 196 and 210 is z. Which is the greatest HCF?
Consider the following statements: 1. The HCF of (p + q) and (p2 – q2) is (p + q). 2. The HCF of (p – q) and (p2 – q2) is (p + q). 3. The HCF of (p + q) and (p3 + q3) is (p + q). 4. The HCF of (p – q) and (p3 – q3)  is (p + q). Which of the above statements is/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 15 times their HCF. The HCF of those two numbers are 14 and one of those numbers is 70. What is the ratio of the smaller number to the bigger one?
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?
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?
The LCM of two numbers is 70 times their HCF. The sum of LCM and HCF is 1917. If one of the numbers is 210, then what is the sum of two numbers?