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29 Jan 2024, 02:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
48% (01:39) correct
52%
(01:33)
wrong
based on 172
sessions
History
Date
Time
Result
Not Attempted Yet
How many unique sums can be created by adding 2 distinct numbers from the set {1, 2, 4, 8, 16, 32, 33}?
A. 17
B. 18
C. 19
D. 20
E. 21
A. 17
B. 18
C. 19
D. 20
E. 21
29 Jan 2024, 05:39
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IMO it's D
by adding 1 to 2, 4, 8, 16, 32, 33. We get 3,5,9,17,33,34
by adding 2 to 4, 8, 16, 32, 33. we get 6,10,18,34,35
by adding 4 to 8, 16, 32, 33. we get 12,20,36,37
by adding 8 to 16, 32, 33. we get 24,40,41
by adding 16 to 32, 33. we get 48,49
by adding 32 to 33 we get 65
so we can see that only 34 is common. Hence 20 is our answer
by adding 1 to 2, 4, 8, 16, 32, 33. We get 3,5,9,17,33,34
by adding 2 to 4, 8, 16, 32, 33. we get 6,10,18,34,35
by adding 4 to 8, 16, 32, 33. we get 12,20,36,37
by adding 8 to 16, 32, 33. we get 24,40,41
by adding 16 to 32, 33. we get 48,49
by adding 32 to 33 we get 65
so we can see that only 34 is common. Hence 20 is our answer
10 Feb 2024, 19:43
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Is there a more optimized way rather than calculating each one. I did 7C2 but couldn't figure out how to find duplicates for each combo in an easy way.
