| 39610 | If V is the product of the integers from 1 to 30… | Medium | |
| 39620 | If (x # y) represents the remainder that results when the positive… | Medium | |
| 39623 | How many positive integers e less than 30 have no common prime… | Medium | |
| 39658 | A two digit number, digits interchange places and the new number is… | Medium | |
| 39681 | For some integer p, p^2 - 5 is divisible by all of… | Medium | |
| 39740 | When positive integer B is divided by 6 the remainder is 3 | Medium | |
| 39751 | IF n >0 what is the remainder when 912^n+3 is divided by… | Medium | |
| 39766 | What least number must be added to 3000 to obtain a number… | Medium | |
| 39790 | If f and g are distinct prime numbers less than 10, which… | Medium | |
| 39802 | For an integer n greater than 1, n* denotes the product of… | Medium | |
| 39815 | a,b and c are positive integers less than or equal to 9 | Medium | |
| 39831 | If p+5/q is a prime integer, which of the following must be… | Medium | |
| 39909 | Find the number of factors of 180 that are in the form… | Medium | |
| 39910 | What is the greatest number which divides 29, 32, 38 and leaves… | Medium | |
| 39930 | How many three-digit integers between 310 and 400, exclusive, are divisible by… | Medium | |
| 39946 | P is an integer divisible by 4 and Q is an integer… | Medium | |
| 40015 | Find the remainder when 4*4 | Medium | |
| 40053 | A number when divided by 342 gives a remainder 47.When the same… | Medium | |
| 40091 | The remainder obtained when a prime number greater than 8 is divided… | Medium | |
| 40150 | The lowest number which should be added to 8247 so that the… | Medium | |
| 40217 | The positive integer x has a factor of 16 | Medium | |
| 40268 | 10 is added to a certain number, the sum is multiplied by… | Medium | |
| 40271 | Find the least value of 'a' so that 365a08 is divisible by… | Medium | |
| 40304 | 1!+2!+3!+4!+5!+.100 | Medium | |
| 40359 | 1!+2!+3!+4!+5!+..100 | Medium | |
| 40401 | When 999^500 is divided by 5, the remainder is | Medium | |
| 40424 | An even number, total of whose digits is 27, is always divisible… | Medium | |
| 40425 | If q and y are both odd prime numbers and q <… | Medium | |
| 40458 | If a and b are prime numbers, which of the following CANNOT… | Medium | |
| 40486 | The positive two-digit integers k and m have the same digits, but… | Medium | |
| 40505 | An even positive integer 'x' has 'y' positive integral factors including '1'… | Medium | |
| 40563 | When x is divided by 2, the quotient is y and the… | Medium | |
| 40646 | If l and g are distinct prime numbers less than 10, which… | Medium | |
| 40654 | If x and y are both odd prime numbers and x <… | Medium | |
| 40703 | How many integers Q are prime numbers in the range 200 <… | Medium | |
| 40777 | The difference between two numbers 1365.When the larger number is divided by… | Medium | |
| 40848 | Find the remainder W when 12^190 is divided by 1729 | Medium | |
| 40861 | What is the remainder when 4^8707 is divided by 5 | Medium | |
| 41028 | All factors of a positive integer X are multiplied and the product… | Medium | |
| 41068 | A Mersenne number is a positive integer that is one less than… | Medium | |
| 41112 | The numbers 272738 and 232342, when divided by n, a two digit… | Medium | |
| 41188 | If x is divisible by 3 and 4, which of the following… | Medium | |
| 41217 | What is the greatest value of positive integer x such that 2^x… | Medium | |
| 41239 | If S and T are positive integers, and the remainder obtained when… | Medium | |
| 41330 | A number has exactly 32 factors out of which 4 are not… | Medium | |
| 41405 | The number 4 is the smallest positive integer that has exactly three… | Medium | |
| 41420 | If x is a whole number, then x²(x² - 1) is always… | Medium | |
| 41465 | John's favorite number is odd and has prime factors that do not… | Medium | |
| 41482 | How many 4 digit numbers are there, if it is known that… | Medium | |
| 41493 | The remainder when K=1+3+3^2+3^3+..........+3^200 is divided 13 | Medium | |