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Difficulty:
35%
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Question Stats:
66% (01:38) correct
34%
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How many integers are there between \(2*10^5\) and \(9*10^5\) so that the sum of their digits is 3?
A. 9
B. 8
C. 7
D. 6
E. 5
A. 9
B. 8
C. 7
D. 6
E. 5
27 Jun 2017, 07:04
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franz711
How many integers are there between 2 x 10^5 and 9 X 10^5 so that the sum of their digits is 3?
a) 9
b) 8
c) 7
d) 6
e) 5
a) 9
b) 8
c) 7
d) 6
e) 5
When we check the answer choices (ALWAYS check the answer choices before choosing an approach), we see that all 5 answer choices a small.
In this case, we should consider the straightforward approach of listing and counting
2 x 10^5 = 2 x 100,000 = 200,000
9 x 10^5 = 9 x 100,000 = 900,000
So, we're must consider values between 200,000 and 900,000
The first value whose digits add to 3 is: 200,001
The next one is: 200,010
And: 200,100
201,000
210,000
And there's one more: 300,000
TOTAL = 6
Answer:
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26 Jun 2017, 23:55
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franz711
How many integers are there between 2 x 10^5 and 9 X 10^5 so that the sum of their digits is 3?
a) 9
b) 8
c) 7
d) 6
e) 5
a) 9
b) 8
c) 7
d) 6
e) 5
Hi,
Pl post in Correct format
For the sum of digits to be three, two cases..
1) the first digit is 2, so (3-2) or 1 can take place at any of 5 places after 2..
Example 200001,200010..
So ways = 5
2) 3 in first place, the rest can only be 0..
So 1 way ... 300000
Total 5+1=6
D
