rohanberi wrote:On the number line, if the number k is to the left of the number c, is the product kt to the right of t ?
(1) t < 0
(2) k < 1
If the number k is to the left of the number c, on the number line, then k < c; and we know nothing about the nature of k and t to decide on whether k t > t or not. I see no reason why c is mentioned in the question. If this is not typo, then answer to the DS is doubtlessly [spoiler]E[/spoiler]; because t < 0 could include negative fractions too and k < 1 could include positive fractions as well as all negative numbers too.
And if it's typo, then I guess the right wordings would have been "the number k is to the left of the number t", and in that case statement (1) alone would have been sufficient to answer, because we already knew k < t and hence k < t < 0, and the product k t would have been positive thus making us believe that YES k t > t. Statement (2) alone is still not sufficient, and the answer to the DS would have been [spoiler]A[/spoiler].
