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There are 20 cards in a box and each card is numbered from 1 to 20. Bi
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Bunuel
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There are 20 cards in a box and each card is numbered from 1 to 20. Bi [#permalink] New post  27 Jan 2021, 12:35
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There are 20 cards in a box and each card is numbered from 1 to 20. Bill picked cards at random from the box without replacement. What is the minimum number of cards drawn that will give a guaranteed even number for the sum of all the cards drawn?

A. 1
B. 3
C. 10
D. 12
E. 20

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yatharthdas
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Re: There are 20 cards in a box and each card is numbered from 1 to 20. Bi [#permalink] New post  30 Jan 2021, 01:12
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I think the answer is D
1 2 4 6 8 10 12 14 16 18 20 then u will use odd no. I.e. 3(or any other odd no.) Which will give the answer as even

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rsrighosh
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Re: There are 20 cards in a box and each card is numbered from 1 to 20. Bi [#permalink] New post  30 Jan 2021, 05:59
I think answer is D
If we consider the worst case scenario

We pick 1st as Odd then next 10 even then 1 odd... So total is 12
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There are 20 cards in a box and each card is numbered from 1 to 20. Bi [#permalink] New post  30 Jan 2021, 18:42
If you pull 1 then every even card in a row you'll get {1,2,4,6,8,10,12,14,16,18,20} then you'll need one more to get an even sum. That set is 11 integers, so I'd guess the answer is 12, because you'd have to pull one more card and it would be odd, since there are no evens left: hence 12 cards would be pulled and guarantee an even sum.

I venture to guess D.
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Bunuel
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Re: There are 20 cards in a box and each card is numbered from 1 to 20. Bi [#permalink] New post  04 Feb 2021, 00:07
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Bunuel wrote:
There are 20 cards in a box and each card is numbered from 1 to 20. Bill picked cards at random from the box without replacement. What is the minimum number of cards drawn that will give a guaranteed even number for the sum of all the cards drawn?

A. 1
B. 3
C. 10
D. 12
E. 20

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Re: There are 20 cards in a box and each card is numbered from 1 to 20. Bi [#permalink]
04 Feb 2021, 00:07
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