Number System, HCF & LCM — practice questions, page 6
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QuestionThe number 2^16 - 1 is exactly divisible by which of these?QuestionTwo consecutive natural numbers are chosen. What is their HCF always?QuestionTwo numbers multiply to 1800 and their HCF is 15. What is their LCM?QuestionWhat is the HCF of 2^5 × 3^2 × 7 and 2^3 × 3^4 × 11?QuestionKavita has 96 red beads and 120 blue beads. She wants to make identical packets, each with the…QuestionThe HCF of two numbers is 6 and their LCM is 180. One of the numbers is 30. Find the other.QuestionA room 4.8 m long and 3.6 m wide is to be paved with identical square tiles, as large as possible,…QuestionFind the greatest number that divides 301, 492 and 783, leaving remainders 5, 11 and 6 respectively.QuestionThe LCM of two numbers is 2079 and their HCF is 27. If one number is 189, what is the other?QuestionFind the HCF of the fractions 4/5, 6/25 and 12/35.QuestionThe LCM of two numbers is fourteen times their HCF, and HCF + LCM = 600. One of the numbers is…QuestionThree lighthouses flash every 40 s, 60 s and 72 s. They flash together at 6:00 PM. How many times…QuestionFind the smallest number which leaves remainder 5 on division by each of 12, 18 and 21, and is…QuestionHow many three-digit numbers leave remainder 2 when divided by each of 3, 4 and 5?QuestionTwo numbers have HCF 12 and LCM 360. What is the smallest possible value of their sum?QuestionFor how many natural numbers n from 1 to 100 is HCF(n, 36) equal to 4?QuestionA vendor has between 700 and 800 mangoes. Counting them in sixes, eights or nines always leaves 1…QuestionWhich of these pairs of numbers is co-prime?QuestionUsing Euclid's division method, find the HCF of 1517 and 902.QuestionA courtyard 18 m 72 cm long and 13 m 20 cm wide is to be paved with identical square tiles, as…QuestionTwo ribbons, 3 m 60 cm and 2 m 52 cm long, are to be cut into pieces of equal length with nothing…QuestionRamesh visits a temple every 12 days and Suresh every 15 days. Both visited it on 3 January of a…QuestionFind the least number which, when divided by 15, 20 and 36, leaves remainders 8, 13 and 29…QuestionFind the greatest number that divides 2011 and 2623, leaving remainders 9 and 5 respectively.QuestionTwo natural numbers have HCF 7 and add up to 63. How many such pairs are there (order not counted)?
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