Dear
Kaal,
I'm happy to help.
First of all, "
slim chance" and "
fat chance" are highly colloquial phrases that appear in American conversation English, but these are
very informal and would
never appear on the GMAT. BTW, in American spoken English, "fat chance" is almost always used sarcastically to implie its opposite.
"
Is Chris going to watch the baseball game with us?" -- "
Fat chance! He hates baseball!"
The GMAT might speak of "
more/less likely" or a "
higher/lower probability." Using the word "
chance" to describe probabilities at all sounds a little colloquial, not quite as well-spoken as the GMAT would be.
For ordinary numbers, math numbers, we use "
greater" and "
less."
For measurements (temperature, speed, etc.), we sometimes use "
higher" and "
lower." This would also be correct for "
interest rates."
In formal contexts, "
smaller" and "
larger" are used for physical size. In more colloquial contexts, these might be used for numerical comparisons, but I don't think I have seen this use on the GMAT. I will say that "
a larger number" sounds considerably more natural than "
a smaller number." Also, the term "
bigger number" sounds like grade-school speak, not what we would expect from intelligent adults.
The word "
lesser" is particularly interesting--this is never used for numerical comparisons or comparisons of physical size. It almost always used for questions of virtue, moral worth, artistic merit--something more philosophical. The word has a very negative disparaging connotation--it's a well-spoken way to deliver a deep insult. For example, someone might say, "
A is a musical genius, but B is a lesser artist." Since the GMAT steers clear of any controversy, I have never seen the word "lesser" on any official question.
Similarly, the word "
meager" denotes a small number, but it has a disparaging connection.
"
The politician's first rally had a small turnout." -- factual, value-neutral, as a newspaper might report
"
The politician's first rally had a meager turnout." -- disparaging, implying that there's something wrong here
Most of the other numerical comparative words are value-neutral, but "
lesser" and "
meager" definitely have some emotional charge to them.
Does all this make sense?
Mike