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kevincan
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GRE 1: Q170 V170
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ps_dahiya
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kevincan
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I think anwsers by Kevin and ps_dahiya are contradictory.When 9 is the mode that means it occurs more than any other digit and at the same time the sum of ten digits should not be more than 45.
I think i have understood the question correctly and in the light of this i am unable to get any solution.
Please help.
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kevincan
A set has a single mode of 9 only if 9 occurs more often than any other number. Some sets have several modes, others have no mode.


Then the answer is B = 4

If we take nines 2 times:
Then we have to take all other numbers only once and set will be 9912345678. Sum will exceed 45.

If we take nine three times:
Then we can take any number at a max of 2 times. To minimize the sum repeat the smallest numbers more. Sets are

9991122334 = 43.......................1
9991122335 = 44.......................2
9991122336 = 45.......................3
9991223344 = 46.. EXCEEDS 45.

If we take nine four times:
9999111222 = 45.......................4
9999111223 = 46.. EXCEEDS 45.

We can't take 9 five time or more because sum exceeds 45.
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Great approach, though you've overlooked 9991123344 9991122344 and 991122345
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kevincan
Great approach, though you've overlooked 9991123344 9991122344 and 991122345

Yes... thanks. Hope I don't miss on the G-Day .



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