Number System, HCF & LCM — practice questions, page 7
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QuestionPoles are to be fixed along the boundary of a rectangular field 252 m by 180 m, at equal distances…QuestionFour bells ring at intervals of 5, 6, 8 and 12 seconds. They ring together at the start. How many…QuestionThe LCM of three numbers is 120. Which of these can NOT be their HCF?QuestionFind the smallest number which, when increased by 17, is exactly divisible by both 520 and 468.QuestionTwo numbers add up to 100. Their HCF is 5 and their LCM is 495. By how much do they differ?QuestionFind the largest four-digit number that leaves remainder 3 on division by each of 4, 7 and 13.QuestionA number leaves remainders 1, 2, 3 and 4 when divided by 2, 3, 4 and 5 respectively. Find the…QuestionTwo numbers are in the ratio 4 : 5, and their LCM exceeds their HCF by 228. Find the sum of the…QuestionAdd up all the natural numbers n for which LCM(n, 12) = 60. What is the total?QuestionTwo numbers have HCF 11 and LCM 2310. How many such pairs of numbers are there (order not counted)?QuestionThree cyclists ride round a circular track, completing a lap in 252 s, 308 s and 198 s. They start…QuestionN is the greatest number that divides 2045, 3417 and 4887 leaving the same remainder each time.…QuestionHow many divisors of 7200 are perfect squares (count 1 as well)?QuestionWhat is the remainder when 7^103 is divided by 25?QuestionPooja has 1152 red beads and 1600 white beads. She strings them into necklaces so that every…QuestionFind the least number of square slabs needed to pave a hall 16 m 32 cm long and 11 m 22 cm wide,…QuestionThe product of two two-digit numbers is 2160 and their HCF is 12. What is the sum of the two…QuestionHow many numbers from 1 to 600 are divisible by 4 or by 6 but NOT by 9?QuestionFind the remainder when the sum 1! + 2! + 3! + … + 50! is divided by 15.QuestionA six-digit number 3 5 a 7 2 b is divisible by 72. How many possible values does the number have?QuestionWhat is the highest power of 6 that divides 80! exactly?QuestionFind the unit digit of 3^65 × 7^42 × 9^27.
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