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27 Mar 2017, 07:01
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
84% (01:38) correct
16%
(02:17)
wrong
based on 334
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If x, y, and z are positive integers, x : y = 1 : 3, and z : y = 2 : 5, then x + z COULD equal
A) 46
B) 50
C) 54
D) 62
E) 66
*Kudos for all correct solutions
A) 46
B) 50
C) 54
D) 62
E) 66
*Kudos for all correct solutions
27 Mar 2017, 08:20
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GMATPrepNow
If x, y, and z are positive integers, x : y = 1 : 3, and z : y = 2 : 5, then x + z COULD equal
A) 46
B) 50
C) 54
D) 62
E) 66
*Kudos for all correct solutions
A) 46
B) 50
C) 54
D) 62
E) 66
*Kudos for all correct solutions
Hi
x/y = 1/3 ----> 3x=y
z/y = 2/5 ----> 5z = 2y
5z = 6x -----> z=6n, x=5n
z + x = 6n + 5n = n(6 + 5) = 11n
z + x should be a multiple of 11.
Answer E (66)
Updated on: 13 Nov 2019, 17:05
Originally posted by BrentGMATPrepNow on 28 Mar 2017, 06:17.
Last edited by BrentGMATPrepNow on 13 Nov 2019, 17:05, edited 1 time in total.
Last edited by BrentGMATPrepNow on 13 Nov 2019, 17:05, edited 1 time in total.
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GMATPrepNow
If x, y, and z are positive integers, x : y = 1 : 3, and z : y = 2 : 5, then x + z COULD equal
A) 46
B) 50
C) 54
D) 62
E) 66
A) 46
B) 50
C) 54
D) 62
E) 66
Given: x : y = 1 : 3
y : z = 5 : 2
To COMBINE these ratios, their shared term (the y-value) must be the same in each ratio.
So, take x : y = 1 : 3 and multiply both parts by 5 to get an EQUIVALENT RATIO: x : y = 5 : 15
Likewise, take y : z = 5 : 2 and multiply both parts by 3 to get: y : z = 15 : 6
We can now COMBINE the ratios to get: x : y : z = 5 : 15 : 6
This means the ratio x : z = 5 : 6
Since x and z are positive integers, x + z must be a MULTIPLE of 5 + 6
In other words, x + z must be a MULTIPLE of 11
Answer: E
