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04 Dec 2023, 11:49
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B
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Difficulty:
55%
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69% (01:53) correct
31%
(02:39)
wrong
based on 684
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How many of the integers from 100 to 999, inclusive, do NOT contain either the digit 2 or the digit 5?
A. 343
B. 448
C. 512
D. 648
E. 700
A. 343
B. 448
C. 512
D. 648
E. 700
04 Dec 2023, 12:05
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soumyap09
How many of the integers from 100 to 999, inclusive, do NOT contain either the digit 2 or the digit 5?
A. 343
B. 448
C. 512
D. 648
E. 700
A. 343
B. 448
C. 512
D. 648
E. 700
_ _ _
The hundreds digit can be filled by 1, 3, 4, 6, 7, 8, or 9. Hence, the hundreds digits can be filled in 7 ways
The tens digit can be filled by 0, 1, 3, 4, 6, 7, 8, or 9. Hence, the tens digits can be filled in 8 ways
The unit digit can be filled by 0, 1, 3, 4, 6, 7, 8, or 9. Hence, the unit digits can be filled in 8 ways
Total number of combinations = 8 * 8 * 7 = 448
Option B
10 May 2024, 08:47
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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
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
