Question:medium

There are 10 stations on a railway line.The number of different journey tickets that are require by the authorities, is

Updated On: Nov 25, 2025

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Top Questions on Number Systems

Arun selected an integer \( x \) between 2 and 40, both inclusive. He noticed that the greatest common divisor of the selected integer \( x \) and any other integer between 2 and 40, both inclusive, is 1. How many different choices for such an \( x \) are possible?
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A king has distributed all his rare jewels in three boxes. The first box contains 1/3 of the rare jewels, while the second box contains k/5 of the rare jewels, for some positive integer value of k. The third box contains 66 rare jewels.
How many rare jewels does the king have?
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Consider a 4-digit number of the form abbb, i.e., the first digit is a (a > 0) and the last three digits are all b.
Which of the following conditions is both NECESSARY and SUFFICIENT to ensure that the 4- digit number is divisible by a?
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The roots of the polynomial are the radii of three concentric circles. \(P(x) = 2x^3-11x^2 +17x-6.\) The ratio of their area, when arranged from the largest to the smallest, is:
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