Is |p| =

[sanju09]

Is |p| = q - r?
(1) p + q = r.
(2) p < 0.

[raviki8208]

Is |p| = q - r?
(1) p + q = r.
(2) p < 0.

using 1 alone,
p = r - q so not sufficient

using 2 alone,
p r q relation is not known.

uisng both
if p < 0, |p| = -p so,
|p| ≠ q - r so, sufficient .. Answer is C

[sk818020]

(1) p+q=r, rewritten is;

p=q-r

Both side have to be positive or negative. It can't be that both sides have opposite signs. Thus,

If q-r is negative, lpl does not equal q-r.

If q-r is postive, then lpl=q-r.

Thus, (1) insufficient.

(2) p<0. This doesn't say anything about q or r. Thus, (2) insufficent.

Put them together, because p<0, q-r must also be negative. Thus lpl does not equal q-r. Thus,

IMO the answer is C.

What is the OA?

[November Rain]

IMO A

If |p| = q - r it means that either p = q - r or (-p) = q - r

Statement 1 tell us that p + q = r -> p = r - q -> - p = q - r

Sufficient.


Statment B does not tell us anything. Insufficient

[sk818020]

IMO A

If |p| = q - r it means that either p = q - r or (-p) = q - r

Statement 1 tell us that p + q = r -> p = r - q -> - p = q - r

Sufficient.


Statment B does not tell us anything. Insufficient

(1) is not sufficient because what if r-q is negative? It couldn't possibly be equal lpl. (1) does not tell us that r-q is not negative. It tells us it is equal to p. P could be negative. Therefore, r-q could be negative, at which point r-q could not equal an absolute value because absolute values are always positive.

[thinkpanther]

IMO C


1) p + q = r

p = r-q

by definition of absolute value

when p is +ve |p| = p and when p is -ve |p| = -p

so insufficient

2) p <0 insufficient

combined:

|p| = -p = q-r hence sufficient

[November Rain]

IMO A

If |p| = q - r it means that either p = q - r or (-p) = q - r

Statement 1 tell us that p + q = r -> p = r - q -> - p = q - r

Sufficient.


Statment B does not tell us anything. Insufficient
(1) is not sufficient because what if r-q is negative? It couldn't possibly be equal lpl. (1) does not tell us that r-q is not negative. It tells us it is equal to p. P could be negative. Therefore, r-q could be negative, at which point r-q could not equal an absolute value because absolute values are always positive.

Yes, you're right. I missed that possibility.

[nikhilkatira]

What is the OA ?

[sanju09]

What is the OA ?

When each statement alone is not clicking, we then take p = r - q, which is negative, cannot equal an absolute value; but q - r could.

[spoiler]C the OA[/spoiler]