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10 Apr 2017, 12:19
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
59% (01:33) correct
41%
(01:46)
wrong
based on 44
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x, y, and z are numbers that have a sum of 93. Find the numbers.
1. The numbers are primes.
2. The numbers are consecutive integers.
1. The numbers are primes.
2. The numbers are consecutive integers.
Source: Nova GMAT
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10 Apr 2017, 18:19
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1 is insufficient to solve the problem.
2 is sufficient.
x + x+1 + x+ 2 = 93
We would be able to find out the numbers.
Answer is B
2 is sufficient.
x + x+1 + x+ 2 = 93
We would be able to find out the numbers.
Answer is B
29 May 2017, 14:58
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SajjadAhmad
The key things to look for in the stimulus and in the statements are - do the numbers have to be integers? Do the numbers have to be positive?
Statement 1
Three prime numbers must add up to 93; however, the numbers are not restricted to being all positive or all negative. Also, the numbers are not restricted to a particular range ( example: prime numbers 1-100) Therefore, there may be more than one combination of prime numbers that add up to 93. Prime numbers 1-100
2 3 5 7 11 13 17 23
29 31 37 41 43 47 53 59
61 67 71 73 79 83 89 97
17 + 27 + 29 = 93
Yet-
97 + 3 + (-7) = 93
Insufficient
Statement 2
All three numbers are consecutive integers (are monotonically increasing; 1, 2 ,3 ; 7,8,9; 11,12,13 etc). The three numbers that add up to 93, therefore, cannot be negative because the sum would be negative. Additionally, there cannot be a mix of positive and negative numbers that are both large enough to add up 93 and consecutive. The three numbers must be 30 31 32
Sufficient
