H.C.F and L.C.M Aptitude Test Paper 311) The LCM of two numbers is 8919, and their sum is 1000. The two numbers are:
Answer: C Explanation: Let the two numbers be x and (1000  x) ∴ x * (1000  x) = 8919 ∴ (x  991) = 0 12) If the LCM of two numbers is 70 and their HCF is 2, find the numbers.
Answer: D Explanation: Apply Formula: HCF x LCM = First number x Second number 13) Three different containers contain 496 liters, 403 liters, and 713 liters of water, respectively. What is the capacity of the biggest container that can measure three different quantities evenly?
Answer: C Explanation: For the capacity of the biggest container, we have to find the HCF. The HCF of 496 and 403 = 31 HCF of 713 and 31 is 31 14) The least number which when divided by 2, 3, 4, 5 and 6 leaves the same remainder 1 in each case. If the same number is divided by 7, it leaves no remainder. Find the number.
Answer: B Explanation: LCM of 2, 3, 4, 5, 6 LCM = 2 x 2 x 3 x 5 = 60 Now, 60 x 1 + 1 = 61 is not divisible by 7 60 x 2 + 1 = 121 is not divisible by 7 60 x 5 + 1 = 301 is divisible by 7 Hence 301 is the number. 15) Which is the greatest threedigit number which when divided by 6, 9 and 12 leaves a remainder of 3 in each case?
Answer: A Explanation: Greatest three digit number = 999 LCM = 2 x 2 x 3 x 3 = 36 On dividing 999 by 36, Remainder = 27. ∴ The greatest three digit number divisible by 6, 9, and 12 = (999  27) = 972 As per the question, the required number is (972 + 3) = 975. H.C.F and L.C.M Aptitude Test Paper 1 H.C.F and L.C.M Aptitude Test Paper 2 H.C.F and L.C.M Aptitude Test Paper 4 H.C.F and L.C.M Aptitude Test Paper 5 H.C.F and L.C.M Aptitude Concepts
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