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If one number is selected at random from set $X$ and another number
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05 Mar 2025, 00:57
05 Mar 2025, 00:57
Expert Reply
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B
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Question Stats:
40% (01:20) correct
60% (00:27) wrong based on 5 sessions
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$$X={1,2,3,4,5}Y={11,12,13,14,15}$$
If one number is selected at random from set $X$ and another number is selected from set $Y$, how many different sums will be obtained?
(A) 5
(B) 9
(C) 18
(D) 20
(E) 25
If one number is selected at random from set $X$ and another number is selected from set $Y$, how many different sums will be obtained?
(A) 5
(B) 9
(C) 18
(D) 20
(E) 25
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Re: If one number is selected at random from set $X$ and another number
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18 Mar 2025, 13:43
18 Mar 2025, 13:43
Expert Reply
We have two sets $X={1,2,3,4,5}&Y={11,12,13,14,15}$; we need to find the number of different sums that can be obtained if one number is selected from set X and the other one is selected from set Y.
The minimum and the maximum sums that can be obtained by adding one element from set X and the other one from set $Y$ is $1+11=12&5+15=20$ respectively.
So, all the values from $12&20$, both inclusive, can be obtained by adding the values of set X and set Y.
Hence a total of $20−12+1=9$ different sums can be obtained, so the answer is (B).
The minimum and the maximum sums that can be obtained by adding one element from set X and the other one from set $Y$ is $1+11=12&5+15=20$ respectively.
So, all the values from $12&20$, both inclusive, can be obtained by adding the values of set X and set Y.
Hence a total of $20−12+1=9$ different sums can be obtained, so the answer is (B).
gmatclubot
Re: If one number is selected at random from set $X$ and another number [#permalink]
18 Mar 2025, 13:43
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