The sum of the digits of a number N is 23. The remainder when N is divided by 11 is 7. What is the remainder when N is divided by 33?
What is the remainder when (13100 + 17100) is divided by 25?
A number when divided by 18 leaves a remainder 7. The same number when divided by 12 leaves a remainder n. How many values can n take?
N leaves a remainder of 4 when divided by 33, what are the possible remainders when N is divided by 55?
What is the remainder when we divide 390 + 590 by 34?
N2 leaves a remainder of 1 when divided by 24. What are the possible remainders we can get if we divide N by 12?
A prime number p greater than 100 leaves a remainder q on division by 28. How many values can q take?
How many positive integers are there from 0 to 1000 that leave a remainder of 3 on division by 7 and a remainder of 2 on division by 4?
Three numbers leave remainders of 43, 47 and 49 on division by N. The sum of the three numbers leaves a remainder 9 on division by N. What are the values N can take?
A number leaves a remainder 3 on division by 14, and leaves a remainder k on division by 35. How many possible values can k take?
Consider a large number N = 1234567891011121314………979899100. What is the remainder when first 100 digits of N is divided by 9?
Given a number, N = 555 + 175 – 725, then which of the following is true?
The integers 573921 and 575713 when divided by a 3 digit number leave the same remainder. What is that 3 digit number?