Number System, HCF & LCM — practice questions, page 3
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Two numbers when divided by a certain divisor leave remainders 4375 and 2986. When their sum is…For which values of n is xⁿ + aⁿ always divisible by (x + a)?Which of the following numbers exactly divides (49¹⁵ − 1)?Which of the following exactly divides (17²⁰⁰ − 1)?The number (2⁴⁸ − 1) is exactly divisible by two numbers between 60 and 70. Which are they?What is the unit digit of 6374¹⁷⁹³ × 625³¹⁷ × 341⁴⁹¹?How many numbers between 100 and 500 are divisible by both 6 and 8?How many three-digit numbers are divisible by 7 but not by 3?What is the sum of all numbers between 100 and 500 that are divisible by 7?What is the largest four-digit number that leaves a remainder of 5 when divided by 12?Add up the odd factors of 360. What is the sum?How many factors of 2^4 × 3^5 × 7^2 are perfect squares?Which is the smallest natural number having exactly 10 factors?Multiply together the distinct prime factors of 4620. What product do you get?How many prime factors are there in total in 6^10 × 7^17 × 55^27?How many zeros are there at the end of the product 5 × 10 × 15 × 20 × … × 100?Find the largest n for which 12^n divides 50!.The product of the first 50 odd numbers, 1 × 3 × 5 × … × 99, is divisible by which highest power…By what smallest number must 1350 be multiplied to make it a perfect square?The HCF and LCM of two numbers are 11 and 693, and the numbers differ by 22. What is their sum?How many pairs of natural numbers have HCF 16 and sum 384?Which pair of numbers has HCF 18 and LCM 540?The HCF and LCM of two numbers are 21 and 4641. If one of them lies between 200 and 300, find it.The HCF and LCM of two fractions are 1/24 and 35/2. If one fraction is 5/6, find the other.Find the LCM of 22, 54, 108, 135 and 198.
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