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# A collection of 36 cards consists of 4 sets of 9 cards each.

Author Message
Manager
Joined: 28 Aug 2008
Posts: 95
A collection of 36 cards consists of 4 sets of 9 cards each. [#permalink]

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11 Sep 2008, 09:12
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:25) correct 0% (00:00) wrong based on 34 sessions

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A collection of 36 cards consists of 4 sets of 9 cards each. The 9 cards in each set are numbered 1 through 9. If one card has been removed from each collection, what is the number on that card?

1) The units digit of the sum of the numbers on the remaining cards is 6

2) The sum of the numbers on the remaining 35 cards is 176

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Current Student
Joined: 11 May 2008
Posts: 551
Re: DS ... Groups of Cards [#permalink]

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11 Sep 2008, 19:00
D

total sum of the cards = 9*5=45 (sum of consecutive integers = avg*no. of integers)for each set of 9
there are 4 such sets.
so sum = 45*4=180.

stat 1)180- x = --6, wehre x is the removed card. the only way we can get 6 is byremoving 4. cos the max no. is 9 and min no. is 1.

stat 2) total sum - sum got will give us card reqd
180-176=4.
suff
VP
Joined: 17 Jun 2008
Posts: 1288
Re: DS ... Groups of Cards [#permalink]

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11 Sep 2008, 19:15
IgnitedMind wrote:
A collection of 36 cards consists of 4 sets of 9 cards each. The 9 cards in each set are numbered 1 through 9. If one card has been removed from each collection, what is the number on that card?

1) The units digit of the sum of the numbers on the remaining cards is 6

2) The sum of the numbers on the remaining 35 cards is 176

IMO D

the sum of the numbers on the cards =45*4=180
(1)units digit is 6 for sum iof remainder since only 4 when deducted from 180 gives units digit6,SUFFI
(2)180-176=4 again SUFFI

IMO D

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Its Now Or Never

Re: DS ... Groups of Cards   [#permalink] 11 Sep 2008, 19:15
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