On the number line, if the number k is to the left of the number t, is

Question

On the number line, if the number k is to the left of the number t, is the product kt to the right of t?

(1) t < 0

(2) k < 1

eschn3am · Accepted Answer

1. t is less than 0

T is negative and K is to the left of T so K is negative as well

negative*negative = positive

and any positive will be to the right of t when it's negative

A is sufficient

2. k is less than 1

if T is 10 K could be 1/2 and kt would be to the left of T
if T is -1 K could be -2 and kt would be to the right of T

Insufficient

 Answer A

shubhampandey · Answer

I will go with A.

(1) t -ve , so k is -ve then kt = +ve Sufficient
(2) k -ve means t can be = +ve or -ve. Insffucient

Whats the OA

CaspAreaGuy · Answer

A. 

(1) T is negative. So is K. Product is positive, i.e. to the right of 0 and T. SUFF
(2) K and T could be positive. If K<1> 1 the product will give a number to the left of T. T may also be less than 1, and if it is negative, the product KT will be positive and greater than T. INSUFF

pmenon · Answer

A

1 k neg, therefore t neg, and product will always be positive therefore to the right of t

2 k less than 1, so k can be positive or negative. depending on sign of t, kt will either be positive or negative. no way to tell. insufficient

AlexBon · Answer

I go with C. I think not only integers can be on the number line.

eschn3am · Answer

It doesn't matter whether the numbers are integers or not. We just need to know if the new number is greater than t. If T is negative and k is negative, the product must be positive

sudhir18n · Answer

A it is 
St 1: if T<0 , and K is left of t , this means K is also a negative numbers smaller than T
assume T = -2 and K =-3... product of 2 negative will be +ve , hence to the right of T....sufficient

St2 : K <1 ,assume K = -1 and t = 1/2 product is -1/2 .. this is to the left of t
 assume k = k = -2 and t = -1 product = +2 , this is to the right of t.. ............thus insufficient

jamifahad · Answer

Screen shot 2011-07-22 at 8.20.37 PM.png Here's your case. For 2, T can be less than 0 or T can be greater than 0. Thus product kt's position depends where K and T are. OA A.

pacifist85 · Answer

I also drew the number line and agree with you. Just to make the second case a bit more clear:

We know that k<1.
What we don't know is if t is also LT 1. 
Also, LT1 could mean 0.5 or it could be a negative number.

For 1, we know that k< t<0, so they are both negative. This would make their product positive and greater that t.

hdwnkr · Answer

Is kt>t?

Statement 1:
If t < 0. Then the number to the left would also be negative. Product of two negatives would be greater (and to the right) of the two integers. Sufficient

Statement 2:
Multiple cases possible. Insuff.

Option A

BrainLab · Answer

Question: Is the product kt to the right of t 3 combinations are possible: 1. K.....T......0 --> YES 2. K.....0.....T --> No 3. 0.....K.....T --> YES (if k > 1) (1) t < 0 --> see above, straight yes, sufficient (2) k < 1 --> could be combi 2 or 3. Not sufficient Answer A

ameyaprabhu · Answer

I took 'left' as T K and not K T.

Can we expect questions with such ambiguity on the GMAT?

Bunuel · Answer

The number k is to the left of the number t means ______K_______T__________. There is no ambiguity there.

anairamitch1804 · Answer

Draw number line, place k and t as mentioned in question.
A --> ____k____t______0__
as k and t both are left of zero, (negative) their product will be positive.

B --> multiple possibilities.
as on below number lines (i am drawing only 3, u can try more by moving t around 0 and 1)
____k__0__t________ kt negative so on left of t
____k__ t___0_____ kt positive so on right of t
_0__k___1___t________ kt is positive but k<1 so kt<t therefore kt on left of t
So the answer A.
Hope this helps!

RashedVai · Answer

"Number k" means k can be integer, fraction, decimal anything?  Bunuel

Posted from my mobile device

Bunuel · Answer

Yes, k can be any real number.

bumpbot · Answer

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On the number line, if the number k is to the left of the number t, is

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