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If p and q are numbers on the number line above, which of the followin
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03 Nov 2018, 10:09
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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 Weekly Quant Quiz #7 Question No 5
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Re: If p and q are numbers on the number line above, which of the followin
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03 Nov 2018, 10:24
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.
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Re: If p and q are numbers on the number line above, which of the followin
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03 Nov 2018, 10:32
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



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Re: If p and q are numbers on the number line above, which of the followin
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03 Nov 2018, 10:34
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
 p 0 q
which means p<0 and q>0
option A: p+q = which is like subtracting some number from q lets say 14 <4 true , but consider p as 10 and q as 2 , now p+q = 8 which is greater than q so not true always
Option B: p+q<0, now this is also not true lets say 4+3 <0 but how about 1+4 (here p is 1 and q is 4)
Option C: pq<0 always true as p<0 and q>0
Hence B is the answer (III only)



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Re: If p and q are numbers on the number line above, which of the followin
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03 Nov 2018, 10:43
ans is b)only III as when both of different are multiplied it will be negative for 1st if it is 98+1 the its equal to 97 which is greater than q and for second any ones magnitude can be greater



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Re: If p and q are numbers on the number line above, which of the followin
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04 Nov 2018, 02:10
p is negative ; q is positive
Statement 1 :  10 + 2  = 8 ; 8 < 2 = false
Statement 2 :  1 + 2  = 1 ; can be positive = false
Statement 3 : ve * +ve = ve = true
B



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Re: If p and q are numbers on the number line above, which of the followin
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04 Nov 2018, 03:12
1. P+Q < Q Let P = 1 & Q = 1 1 + 1 < 1 0<1 [Yes]
Let P = 5 & Q = 10 5+10 < 10 5 < 10 [No]
Hence Incorrect
2. P + Q < 0
Let P = 3 & Q = 10 3 + 10 = 7 [No]
Let P = 1 & Q = 1 1 + 1 = 0 < 0; they are equal.
Hence incorrect
3. PQ < 0
Let P = 1 & Q = 1 PQ = 1 x 1 = 1 1 < 0 [Yes]
Let P = 5 & Q = 10 PQ = 5 X 10 = 50 50 < 0 [Yes]
Hence it is correct
B is the answer IMO



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Re: If p and q are numbers on the number line above, which of the followin
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13 Nov 2018, 11:38
gmatbusters wrote: Attachment: 1 (2).jpg 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 Weekly Quant Quiz #7 Question No 5 there is no indication about the value of p and q. we only know that p is negative and q is positive.
so, pq<0. This is the correct answer. Due to range of values of p and q other options are could be true.
The best answer is B.




Re: If p and q are numbers on the number line above, which of the followin
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