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

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

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New post 11 Sep 2008, 09:12
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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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Joined: 11 May 2008
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Re: DS ... Groups of Cards [#permalink]

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New post 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

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Re: DS ... Groups of Cards [#permalink]

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New post 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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Re: DS ... Groups of Cards   [#permalink] 11 Sep 2008, 19:15
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A collection of 36 cards consists of 4 sets of 9 cards each.

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