Number System, HCF & LCM — practice questions, page 5
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How many digits are used in all to number the pages of a book that has 250 pages?Exactly 1890 digits are used to number the pages of a book. How many pages does it have?What is the smallest number by which 588 must be multiplied so that the product is a perfect cube?N = 10^25 - 7. What is the sum of the digits of N?How many of the numbers from 1 to 1000 are divisible by none of 2, 3 and 5?How many positive divisors does 10! have?A number leaves remainder 3 when divided by 5, remainder 4 when divided by 7 and remainder 5 when…Four consecutive natural numbers multiply to 3024. What is their sum?For how many natural numbers n from 1 to 100 is n^2 + n + 1 divisible by 7?Find the sum of all the divisors of 2^4 × 3^3 that are multiples of 6.Which of these fractions is the smallest: 3/4, 5/8, 7/12, 2/3?Which one of these numbers is a perfect cube?A number leaves remainder 4 when divided by 6. What remainder does its square leave when divided…What is the least number that must be added to 7231 to make it exactly divisible by 9?Rationalise the denominator of 1√7 - √5.How many three-digit numbers have all three digits odd?The digits of a two-digit number add up to 11. Reversing the digits increases the number by 45.…What is the smallest natural number that leaves remainder 7 on division by 11 and remainder 3 on…How many integers x satisfy |x − 3| < 5?What is the unit digit of 1^1 + 2^2 + 3^3 + + 10^10?The natural numbers are written in order without gaps: 1234567891011121314… What is the 100th…How many positive whole numbers below 1000 have digits that add up to 10?4095 equals 2^12 - 1. What is the sum of its distinct prime factors?Which is the smallest natural number that has exactly 15 divisors?How many ordered pairs of natural numbers (x, y) satisfy 1/x + 1/y = 1/6?
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