Number System, HCF & LCM — practice questions, page 4
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The HCF of two numbers is 12 and their LCM is 72. If their sum is 60, find their difference.Two numbers are in the ratio 5 : 7 and the product of their HCF and LCM is 5040. Find their LCM.The LCM of two natural numbers equals their product. Which statement must be true?The LCM of three consecutive natural numbers is 2730. What is their sum?LCM(24, a) = 168. What is the least natural number a for which this holds?How many natural numbers a satisfy LCM(a, 18) = 36?For the numbers 12, 18 and 30, the product of the numbers is how many times the product of their…The HCF of two numbers is 29 and their sum is 174. Find their LCM.The LCM of 2^a × 3^2 × 5 and 2^3 × 3^b × 7 is 2^5 × 3^4 × 5 × 7. Find a + b.Six bells start tolling together and then toll at intervals of 2, 4, 6, 8, 10 and 12 seconds. How…Three bells ring at intervals of 10, 15 and 25 minutes. They ring together at 8:00 AM. At what…Buses on three routes leave a depot every 20, 30 and 40 minutes. All three leave together at 6:00…Three friends visit a library every 4, 6 and 10 days respectively. They were all there on 1 March.…Two meshing gears have 36 and 48 teeth. A tooth of each is marked, and the marks touch now. After…Which is the largest 4-digit number which, when decreased by 11, is exactly divisible by 16, 24…When divided by 6, 9, 15 and 18, a number leaves remainders 4, 7, 13 and 16 respectively. Find the…Which is the smallest prime number greater than 90?When 7381 is divided by 23, what is the remainder?Add up the cubes of the first ten natural numbers, 1^3 + 2^3 + + 10^3. What is the total?All the odd numbers from 1 to 99 are added together. What is the sum?How many two-digit numbers have digits that add up to 9?How many numbers from 1 to 36 are co-prime to 36?What is the remainder when 1003 × 1007 × 1011 is divided by 1000?What is the remainder when 5^99 is divided by 13?By Wilson's theorem, what remainder does 16! leave when divided by 17?
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