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12 Jun 2010, 12:02
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B
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Difficulty:
45%
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67% (01:40) correct
33%
(01:57)
wrong
based on 941
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How many positive three-digit integers are not divisible by 3 ?
A. 599
B. 600
C. 601
D. 602
E. 603
A. 599
B. 600
C. 601
D. 602
E. 603
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12 Jun 2010, 12:54
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How many positive three-digit integers are not divisible by 3 ?
A. 599
B. 600
C. 601
D. 602
E. 603
The total number of three-digit integers is: \(999 - 100 + 1 = 900\).
The number of three-digit multiples of 3 is \(\frac{\text{last} - \text{first}}{\text{interval}} + 1 = \frac{999 - 102}{3} + 1 = 300\).
To determine the number of three-digit integers not divisible by 3, subtract the multiples of 3 from the total: \(900 - 300 = 600\).
Therefore, there are 600 positive three-digit integers that are not divisible by 3.
Answer: B.
Hope it helps.
A. 599
B. 600
C. 601
D. 602
E. 603
The total number of three-digit integers is: \(999 - 100 + 1 = 900\).
The number of three-digit multiples of 3 is \(\frac{\text{last} - \text{first}}{\text{interval}} + 1 = \frac{999 - 102}{3} + 1 = 300\).
To determine the number of three-digit integers not divisible by 3, subtract the multiples of 3 from the total: \(900 - 300 = 600\).
Therefore, there are 600 positive three-digit integers that are not divisible by 3.
Answer: B.
Hope it helps.
20 Dec 2012, 22:10
Kudos
Bookmarks
What are our three-digit numbers?
\(100\) to \(999\)
How many numbers from 1 to 999 are divisible by 3?
\(\frac{999}{3}=333\)
999-333 = 666 numbers NOT divisible by 3
How many numbers from 1 to 99 are divisible by 3?
\(\frac{99}{3}=33\)
99-33 = 66 numbers NOT divisible by 3
\(666-66=600\) numbers are NOT divisible by 3 from 100 to 999
Answer: B
\(100\) to \(999\)
How many numbers from 1 to 999 are divisible by 3?
\(\frac{999}{3}=333\)
999-333 = 666 numbers NOT divisible by 3
How many numbers from 1 to 99 are divisible by 3?
\(\frac{99}{3}=33\)
99-33 = 66 numbers NOT divisible by 3
\(666-66=600\) numbers are NOT divisible by 3 from 100 to 999
Answer: B
