A CAT Number Systems: Remainders question that appears in the Quantitative Aptitude section of the CAT Exam broadly tests an aspirant on the concepts - Remainder Theory, Successive Remainders, Test of Divisibility and so on. In CAT Exam, one can generally expect to get approx. 1 question from CAT Number Systems: Remainders. Make use of 2IIMs Free CAT Questions, provided with detailed solutions and Video explanations to obtain a wonderful CAT score. If you would like to take these questions as a Quiz, head on here to take these questions in a test format, absolutely free.
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 (13^{100} + 17^{100}) 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 3^{90} + 5^{90} by 34?
N^{2} 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 = 55^{5} + 17^{5} – 72^{5}, 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?
If N = (24^{3} + 25^{3} + 26^{3} + 27^{3}), then N divided by 102 leaves a remainder of?
The Questions that follow, are from actual IPMAT papers. If you wish to take them separately or plan to solve actual IPMAT papers at a later point in time, It would be a good idea to stop here.
In a division problem, product of quotient and the remainder is 24 while their sum is 10. If the divisor is 5 then dividend is __________.
The remainder when \29^{29^{29}}\\) is divided by 9 is
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