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

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CAT 2020

Quantitative

Number System

Medium

Let NNN, xxx and yyy be positive integers such that N=x+yN = x + yN=x+y, 2<x<102 < x < 102<x<10 and 14<y<2314 < y < 2314<y<23. If N>25N > 25N>25, then how many distinct values are possible for NNN?

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