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If 4s - 3t = 10 where s and t are integers, which of the following can

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If 4s - 3t = 10 where s and t are integers, which of the following can  [#permalink]

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New post 04 Feb 2018, 13:23
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Question Stats:

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If 4s - 3t = 10 where s and t are integers, which of the following cannot be true?

a. s and t have same signs.
b. s and t have opposite signs.
c. there is a solution such that t is divisible by 8.
d. there is solution such that when s is divided by 3, remainder is 1.
e .there is a solution such that both s and t are positive integers.
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Re: If 4s - 3t = 10 where s and t are integers, which of the following can  [#permalink]

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New post 04 Feb 2018, 14:10
prince00113 wrote:
If 4s - 3t = 10 where s and t are integers, which of the following cannot be true?

a. s and t have same signs.
b. s and t have opposite signs.
c. there is a solution such that t is divisible by 8.
d. there is solution such that when s is divided by 3, remainder is 1.
e .there is a solution such that both s and t are positive integers.


4s - 3t = 10. ---> 4s = 10 + 3t

a. \(t = 2, s = 4\)
b. \(t = -2, s= 1\)
c. \(t = \frac{10}{4} + 6k\) --- No Such Solution
d. \(t = 2, s = 4\)
e. \(t= 2, s = 4.\)
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If 4s - 3t = 10 where s and t are integers, which of the following can  [#permalink]

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New post 04 Feb 2018, 15:15
prince00113 wrote:
If 4s - 3t = 10 where s and t are integers, which of the following cannot be true?

a. s and t have same signs.
b. s and t have opposite signs.
c. there is a solution such that t is divisible by 8.
d. there is solution such that when s is divided by 3, remainder is 1.
e .there is a solution such that both s and t are positive integers.


a. is true for s=4;t=2
b. is true for s=1;t=-2
c. is not true:
4s-3t=10
→t=(4s-10)/3
→t/8=(4s-10)/24
4s-10 is not a multiple of 4
t≠integer
c
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If 4s - 3t = 10 where s and t are integers, which of the following can &nbs [#permalink] 04 Feb 2018, 15:15
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