A CAT Number theory question from Number Systems: Digits that appears in the Quantitative Aptitude section of the CAT Exam will consist of concepts from Digits, Test of Divisibility, Perfect squares and so on. In CAT Exam, one can expect to get 1~2 questions from CAT Number Systems: Digits. 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.
How many numbers with distinct digits are possible product of whose digits is 28?
A page is torn from a novel. The sum of the remaining page numbers is 10000. What is the sum of the two page-numbers on the torn page of this novel?
A 4-digit number of the form aabb is a perfect square. What is the value of a - b?
What are the last two digits of the number 7^{45}?
n^{2} + 5n + 6 is a multiple of 6. n is natural number less than 100. How many values can n take?
[x] is the greatest integer less than or equal to x. Find the number of positive integers n such that [\\frac{n}{11}\\)] = [\\frac{n}{13}\\)] .
Positive numbers 1 to 55, inclusive are placed in 5 groups of 11 numbers each. What is the maximum possible average of the medians of the 5 groups?
N is an 80-digit positive integer (in the decimal scale). All digits except the 44^{th} digit (from the left) are 2. If N is divisible by 13, find the 44^{th} digit?
A number 4^{16} + 1 is divisible by x. Which among the following is also divisible by x?
Which among the following is the smallest 7 digit number that is exactly divisible by 43?
How many 3-digit positive integers, with digits a, b and c exist such that a < b and c < b? Assume that a is in hundred's place, b is in ten's place, c is in unit's place and a is a non-zero digit.
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