Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

If A divided by B is equal to C and C is larger than D, and all these number are positive whole numbers other than one, it follows that

  1. A is always larger than D
  2. B is always smaller than C
  3. B is always smaller than D
  4. C is always larger than B
  5. D is always larger than B

I got this from reasoning skill section. How would I choose it ?

share|cite|improve this question
up vote 0 down vote accepted

$$\frac{A}{B} = C$$ $$\frac{A}{B} \geq D$$ $$A \geq BD$$

As $B$ is a natural number greater than 1:

  1. A is always larger than D.
share|cite|improve this answer

$A=CB$, $C>D$ and $A,B, C, D >1$

  1. We have $C=\cfrac AB >D$ thus $A>BD>D$, so $A>D$ since $B>1$
  2. $B<C$ is not necessarily true for example $2\times 2 =4$ and $2=2$.
  3. From 1. $A>BD$, so take for example $5>2\times 2$, $2=2$ so $B<D$ is not necessarily true.
  4. $C>B \iff B<C$ Same argument as 1.
  5. $D>B \iff B<D$ Same argument as 1.

Choice 1. is the only choice that is always true.

$a>b-$ means $a$ is greater or larger than $b$.

$a<b-$ means $a$ is less or smaller than $b$.

share|cite|improve this answer
I quite understand with you details explanation. Thanks you – Megamind Nov 25 '12 at 17:07

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.