Problem Solving (PS) | How many of the integers from 100 to 999, inclusive, do NOT contain ei

­How many of the integers from 100 to 999, inclusive, do NOT contain either the digit 2 or the digit 5?

Many GMAT Quant questions can be solved in multiple ways. For instance, in the case of this question, if you didn't know how to use the approach gmatophobia used, you could use brute force.

Starting number of integers: 900

Take away all the 200 and 500s: 700

Take away all the remaining 20s and 50s: 700 - 7(10 + 10) = 560

Take away a 2 and a 5 for each of the remaining 10s: 560 - 7(8 × 2) = 560 - 112 = 448

A. 343
B. 448
C. 512
D. 648
E. 700

Correct answer: B­

Statistics : Posted by MartyMurray • on 04 Dec 2023, 11:49 • Replies 2 • Views 2044

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