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Two integers X and Y are in the ratio of 5 : 6. Which of the following
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19 Aug 2024, 03:23
19 Aug 2024, 03:23
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Two integers X and Y are in the ratio of 5 : 6. Which of the following options are true?
A. 11 can be the highest prime factor of X + Y
B. 3 is the highest prime factor of XY
C. X + Y must be an odd number
D. XY must be an even number
E. X must be less than Y
F. X must be divisible by 10
A. 11 can be the highest prime factor of X + Y
B. 3 is the highest prime factor of XY
C. X + Y must be an odd number
D. XY must be an even number
E. X must be less than Y
F. X must be divisible by 10
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Re: Two integers X and Y are in the ratio of 5 : 6. Which of the following
[#permalink]
27 Aug 2024, 07:41
27 Aug 2024, 07:41
1
x=5k, y=6k.
A. take k=13, i.e. x=65, y=78, then 13 is a prime factor of x+y which is greater than 11. So A is incorrect.
B. xy=30k^2, clearly it is divisible by 5, so B is incorrect.
C. take k=2, x+y=22. C is incorrect.
D. xy=30k^2, it is always even, independent of k. So D is correct.
E. take k=-1, i.e. x=-5, y=-6, here x>y. E is incorrect.
F. take k=3, x=15. F is incorrect.
So, D is the correct answer.
A. take k=13, i.e. x=65, y=78, then 13 is a prime factor of x+y which is greater than 11. So A is incorrect.
B. xy=30k^2, clearly it is divisible by 5, so B is incorrect.
C. take k=2, x+y=22. C is incorrect.
D. xy=30k^2, it is always even, independent of k. So D is correct.
E. take k=-1, i.e. x=-5, y=-6, here x>y. E is incorrect.
F. take k=3, x=15. F is incorrect.
So, D is the correct answer.
gmatclubot
Re: Two integers X and Y are in the ratio of 5 : 6. Which of the following [#permalink]
27 Aug 2024, 07:41
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