Mathematics (Number System সংখ্যা পদ্ধতি)

1) If the HCF of two numbers is 23 and their LCM is 1449, what is the product of the numbers?

2) What is the greatest 4-digit number that is exactly divisible by 21?

3) If a number when divided by 56 leaves a remainder 29, what will be the remainder when the same number is divided by 8?

4) How many integers between 1 and 1000 are divisible by neither 3 nor 5?

5) What is the remainder when 17^23 is divided by 6?

6) Which of the following numbers is not a perfect square?

7) How many trailing zeros are there in 100 factorial?

8) What is the sum of all prime numbers less than 20?

9) If the product of two coprime numbers is 323, what is the sum of the squares of these numbers?

10) What is the smallest number which leaves a remainder of 1 when divided by 2, 3, and 4?