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03 Nov 2018, 10:09
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I. |p+q | < q
II. p +q < 0
III. pq< 0
A) I only
B) III only
C) I , II
D) I, III
E) II, III
Weekly Quant Quiz #7 Question No 5
Chethan92
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03 Nov 2018, 10:24
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1st statement :
|p+q|<q
-q<p+q<q
Subtracting q
-2q<p<0
From number line q is positive
p is negative.
But p might or might not be less than q. hence this statement is not always true.
2nd statement:
p+q<0
Again depends on p and q.
If q is 30 and p is -10
then p+q is not less than 0
and if p = -5 and q is 3
then -2<0.
Both yes and no.
Not true always.
3rd statement :
P is negative and q is positive.
Hence pq<0.
Always true.
B is the answer.
|p+q|<q
-q<p+q<q
Subtracting q
-2q<p<0
From number line q is positive
p is negative.
But p might or might not be less than q. hence this statement is not always true.
2nd statement:
p+q<0
Again depends on p and q.
If q is 30 and p is -10
then p+q is not less than 0
and if p = -5 and q is 3
then -2<0.
Both yes and no.
Not true always.
3rd statement :
P is negative and q is positive.
Hence pq<0.
Always true.
B is the answer.
03 Nov 2018, 10:32
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If p and q are numbers on the number line above, which of the following statements must be true?
I. |p+q | < q
II. p +q < 0
III. pq< 0
A) I only
B) III only
C) I , II
D) I, III
E) II, III
What we can infer from the image is this:
Both of opposite signs. (p,q) (they are not equal to zero also)
Hence Statement 3 has to be true.
Coming to other statments
Stat 1:
Depends on the distance of p from the 0.
SO if P=-100
and Q=1
Lhs=99
Rhs=1
Which is incorrect
NOt a must be true case
Stat 2:
Again depends on the distance of p from 0 and q from 0
q=5
p=-1
Lhs=4
Hence not a must be true statement
Hence Ans B
I. |p+q | < q
II. p +q < 0
III. pq< 0
A) I only
B) III only
C) I , II
D) I, III
E) II, III
What we can infer from the image is this:
Both of opposite signs. (p,q) (they are not equal to zero also)
Hence Statement 3 has to be true.
Coming to other statments
Stat 1:
Depends on the distance of p from the 0.
SO if P=-100
and Q=1
Lhs=99
Rhs=1
Which is incorrect
NOt a must be true case
Stat 2:
Again depends on the distance of p from 0 and q from 0
q=5
p=-1
Lhs=4
Hence not a must be true statement
Hence Ans B
