OG 12th edition Q # 38

[bhumika.k.shah]

38. If p1 and p2 are the populations and r1 and r2 are the
numbers of representatives of District 1 and District 2,
respectively, the ratio of the population to the number
of representatives is greater for which of the two
districts?

(1) p1 > p2
(2) r2 > r1

Can someone try explaining via a different approach. the one explained in OG is tooo confusing

[raisethebar]

Is the Ans C. Both statements are required to answer.

[bhumika.k.shah]

Yes . But what made u say that ?

Is the Ans C. Both statements are required to answer.

[raisethebar]

Yes . But what made u say that ?

Is the Ans C. Both statements are required to answer.

(1) p1 > p2 -insuff.
(2) r2 > r1 -insuff

but statement 1 says p1 is more and statement 2 says r1 is less

we are interested in finding the ratio p1/r1 and p2/r2

so
greater number(respective to p1/p2) / smaller number(respective to r1,r2) > lesser number(respective to p1/p2) /larger number(respective to r1,r2)

p1/r1 > p2/r2

Let me know if you dont understand this, I will try to explain in other way.

[bhumika.k.shah]

I got it !
but is there another approach than this?
like plugging #s or blah!

???

Yes . But what made u say that ?

Is the Ans C. Both statements are required to answer.

(1) p1 > p2 -insuff.
(2) r2 > r1 -insuff

but statement 1 says p1 is more and statement 2 says r1 is less

we are interested in finding the ratio p1/r1 and p2/r2

so
greater number(respective to p1/p2) / smaller number(respective to r1,r2) > lesser number(respective to p1/p2) /larger number(respective to r1,r2)

p1/r1 > p2/r2

Let me know if you dont understand this, I will try to explain in other way.

[ajith]

38. If p1 and p2 are the populations and r1 and r2 are the
numbers of representatives of District 1 and District 2,
respectively, the ratio of the population to the number
of representatives is greater for which of the two
districts?

(1) p1 > p2
(2) r2 > r1

Can someone try explaining via a different approach. the one explained in OG is tooo confusing

Say 1000 is the population for District 1 and 2000 is the population for District 2

Say A has 10 representatives and B has 15 representatives

Ratio for D1 = 10/1000 = 1/100 = 4/400
Ratio for D2 = 15/2000 = 3/400

now Say B has 40 reps

Ratio for D1 = 1/100
Ratio for D2 = 40/2000 =2/100

Both of these satisfy conditions 1 and 2 and gives contradicting results
hence E

[sanju09]

38. If p1 and p2 are the populations and r1 and r2 are the
numbers of representatives of District 1 and District 2,
respectively, the ratio of the population to the number
of representatives is greater for which of the two
districts?

(1) p1 > p2
(2) r2 > r1

Can someone try explaining via a different approach. the one explained in OG is tooo confusing

Take the two statements together...

(1) If p1 > p2, then p1/p2 > 1.

(2) If r2 > r1, then r1/r2 < 1.

Hence, p1/p2 > r1/r2

or p1/r1 > p2/r2. DONE

[spoiler]C[/spoiler]

[ajith]

38. If p1 and p2 are the populations and r1 and r2 are the
numbers of representatives of District 1 and District 2,
respectively, the ratio of the population to the number
of representatives is greater for which of the two
districts?

(1) p1 > p2
(2) r2 > r1

Can someone try explaining via a different approach. the one explained in OG is tooo confusing

Take the two statements together...

(1) If p1 > p2, then p1/p2 > 1.

(2) If r2 > r1, then r1/r2 < 1.

Hence, p1/p2 > r1/r2

or p1/r1 > p2/r2. DONE

[spoiler]C[/spoiler]

My Mistake!!!! Ignore my post the values I assumed do not follow the conditions