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# Is k greater than t? (1) kt = 24 (2) k^2 > t^2

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Re: Is k greater than t? (1) kt = 24 (2) k^2 > t^2 [#permalink]
This is a YES or NO type DS questions and we need to find out if k>t or not ?

1. kt =24.. k & t could be +ve or -ve and the value will change accordingly. E.g. --> k = 6 / -6 and t = 4 / -4, in both cases the kt=24 but the main question will change depending on the +ve and -ve values of k and t. Insufficient.

2. k^2 > t^2, same problem as above but here both k = 6 / -6 and t = 4 / -4 will hold the statement but the main question will change depending on the +ve and -ve values of k and t. Insufficient.

1. & 2. combined still confusion remains, hence E.
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Re: Is k greater than t? (1) kt = 24 (2) k^2 > t^2 [#permalink]
Bunuel,

I am not able to understand how the answer is E.

S1. kt = 24

Here, it is understood that K can be 1, 24 and t can be 24, 1.
Hence not sure whether K > t.

S2. k ^2 > t^2

Hence K^2 - t^2 >0

Hence (k-t) (k+t)>0

Hence k >t or K > -t

Now I am not able to understand how on combining S1 and S2 confusion still remains?

Thanks.
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Re: Is k greater than t? (1) kt = 24 (2) k^2 > t^2 [#permalink]
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PriyamRathor wrote:
Bunuel,

I am not able to understand how the answer is E.

S1. kt = 24

Here, it is understood that K can be 1, 24 and t can be 24, 1.
Hence not sure whether K > t.

S2. k ^2 > t^2

Hence K^2 - t^2 >0

Hence (k-t) (k+t)>0

Hence k >t or K > -t

Now I am not able to understand how on combining S1 and S2 confusion still remains?

Thanks.

Aren't you making two unsupported assumptions ? One that n and k are necessarily integers, and two that they are necessarily positive ?
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Re: Is k greater than t? (1) kt = 24 (2) k^2 > t^2 [#permalink]

k > t or k-t>0 (Tips: always keep your RHS 0)

Now, Statement 1 says, kt=24. There can be many values for kt. For e.g. k=6 & t=4 or k=-6; t=-4 etc.

So, statement 1 is insufficient

Statement 2 says, k^2-t^2>0
or, (k+t) (k-t) >0 for it to be true either both (k+t) & (k-t) are positive or both are negative.

So, statement 2 is insufficient

Even if we try to plug in values from statement 1 in statement 2 we cannot conclude on the signs for these.

So, C is also not an option.
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Re: Is k greater than t? (1) kt = 24 (2) k^2 > t^2 [#permalink]
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Re: Is k greater than t? (1) kt = 24 (2) k^2 > t^2 [#permalink]
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