CAT 2020 Number System Question (Medium)

Question

Let , and be positive integers such that , , then how many distinct values are possible for ?

Accepted Answer

Step 1 We are given - - We need to find the number of distinct values that can take. Step 2 Minimum possible Minimum , minimum Maximum Maximum , maximum But since , we only consider from 26 to 31. We need to see what distinct values can take in this range. Let us tabulate possible sums - For , range

CAT 2020

Quantitative

Number System

Medium

Let $N$ , $x$ and $y$ be positive integers such that $N = x + y$ , $2 < x < 10$ and $14 < y < 23$ . If $N > 25$ , then how many distinct values are possible for $N$ ?

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