number line

[ice cold]

m & r are 2 nos. on number line. What is the value of r?
1) the distance b/w r & 0 is 3 times the distance b/w m & 0
2) 12 is halfway b/w m & r

[tictaktoe]

its E.

its very obvious frm 2 statement tht they arent sufficient on their own.
Lets combine. M&R both cant be on negative side since 12 divides them. hence either m,r > 0 or say m<0 and r>0

m,r>0

lets distance from 0 tom =x ; so between 0 &r = 3x; combining with statement 2 numberline will look like this

0--------m--------12--------r--
<----x---><---x----><---x--->


solving we get 2x=12, x = 6 m=6 & r =18 satisfies both statement.

but lets m<0 and r>0
m------0-------12------|------r---
<--x---><--x--><---x--><--x-->
so x = 12

thn values of m = -12 and r = 36 also

so we have 2 values of m & R .

C: Insuff

it sud b E

[Amorous]

wrong!!!

answer should be C

the values are m=6, r=18

12 is half way between then and distance between 0 and r is 3 times distance between 0 and m

-Amor

[bragss2]

Agree with E. Good explanation tictaktoe

[tictaktoe]

wrong!!!

answer should be C

the values are m=6, r=18

12 is half way between then and distance between 0 and r is 3 times distance between 0 and m

y not -12, 36 too?

st1: distance from -12 to 0 = 12 units = 3 times distance between 0 & 36.
st 2: 12 is midway between -12 & 36 . at a distance of 24 units from either.

[Amorous]

oops i thought positive numbers...i take back my statement...thanks for correcting me...

E is correct...

-Amor

[darshanprabhu]

I opt for E.

1) Insufficient.
2) Insufficient.

1) + 2)

If M is +ve........then M = 6, thus R = 18 to satisfy both pieces of info.
If M is -ve.........then M = -12, and R = 36 in this case and still satisfies both pieces of info.

Thus both together are insuffucient too......and the best answer is E. What is the Official Answer? Does this make sense?

[ice cold]

good one tictactoe. I made the same mistake as amor