CAT 2020 Number System Question (Medium)

Question

How many 3-digit numbers are there, for which the product of their digits is more than 2 but less than 7?

Accepted Answer

We are to find 3-digit numbers where the product of digits is more than 2 and less than 7. Valid product values 3, 4, 5, 6 We will count all 3-digit numbers from 100 to 999 whose digits multiply to these values. Let the number be represented as a, b, c a 0 Product 3 Triplets 1,1,3 , 1,3,1 , 3,1,1 To

CAT 2020

Quantitative

Number System

Medium

$How many 3-digit numbers are there, for which the product of their digits is more than 2 but less than 7?$

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