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22 Feb 2021, 03:15
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Difficulty:
25%
(medium)
Question Stats:
83% (02:23) correct
17%
(02:28)
wrong
based on 99
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How many 6 digits odd numbers greater than 600,000 can be formed from the digits 5, 6, 7, 8, 9, 0 if repetitions are allowed?
A. 240
B. 360
C. 720
D. 1252
E. 15552
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
A. 240
B. 360
C. 720
D. 1252
E. 15552
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
22 Feb 2021, 03:34
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Suppose the 6 digit number is 'abcdef.
We have no restrictions for b,c,d and e. So they can take 6 values
Since the number is odd, 'f' can take only 3 values (5, 7 or 9). The number is greater than 600,000, so 'a' can take 4 values (6,7,8 or 9).
Total possible numbers = 4*6*6*6*6*3 = 15552
We have no restrictions for b,c,d and e. So they can take 6 values
Since the number is odd, 'f' can take only 3 values (5, 7 or 9). The number is greater than 600,000, so 'a' can take 4 values (6,7,8 or 9).
Total possible numbers = 4*6*6*6*6*3 = 15552
ravigupta2912
GMAT 2: 720 Q49 V40
Posts: 717
22 Feb 2021, 05:28
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I'm not sure if the question or answer choices are right. Bunuel can you check.
I'm getting the following answer:-
1st digit - 5 options (5,6,7,8 and 9) -- since the number has to be greater than 60,000. 500,005 > 60,000. So 5 options.
2nd digit - 6 options (5,6,7,8,9 and 0)
3rd digit - 6 options (5,6,7,8,9 and 0)
4th digit - 6 options (5,6,7,8,9 and 0)
5th digit - 6 options (5,6,7,8,9 and 0)
6th digit 3 options (5,7 and 9)
Answer = 5*6*6*6*6*3
I'm getting the following answer:-
1st digit - 5 options (5,6,7,8 and 9) -- since the number has to be greater than 60,000. 500,005 > 60,000. So 5 options.
2nd digit - 6 options (5,6,7,8,9 and 0)
3rd digit - 6 options (5,6,7,8,9 and 0)
4th digit - 6 options (5,6,7,8,9 and 0)
5th digit - 6 options (5,6,7,8,9 and 0)
6th digit 3 options (5,7 and 9)
Answer = 5*6*6*6*6*3
