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Quantitative Aptitude
Percentages
I. 12 p 2-7 p...
Question
I.
12
p
2
−
7
p
=
−
1
II.
6
q
2
−
7
q
+
2
=
0
A
If
p
<
q
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B
If
p
>
q
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C
If
p
≤
q
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D
If
p
≥
q
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E
If
p
=
q
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Solution
The correct option is
A
If
p
<
q
Equation I
12
p
2
−
7
p
=
−
1
⇒
12
p
2
−
7
p
+
1
=
0
⇒
12
p
2
−
4
p
−
3
p
+
1
=
0
⇒
4
p
(
3
p
−
1
)
−
1
(
3
p
−
1
)
=
0
⇒
(
3
p
−
1
)
(
4
p
−
1
)
=
0
∴
p
=
1
3
or
p
=
1
4
Equation II
6
q
2
−
7
q
+
2
=
0
⇒
6
q
2
−
4
q
−
3
q
+
2
=
0
⇒
2
q
(
3
q
−
2
)
+
(
3
q
−
2
)
=
0
⇒
(
3
q
−
2
)
(
2
q
−
1
)
=
0
∴
q
=
2
3
or
1
2
Hence,
p
<
q
Suggest Corrections
0
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