I- 3 p-2 q-58-0II- 4 q-4 p-92A- p is equal to qB- p is either equal to or smaller than qC- p is greater than qD- p is less than qE- p is either equal to or greater than q

The correct option is C p is greater than qWe have, I. 3p + 2q = 58 ...(i) II. 4p + 4q = 92 ⇒ 2p + 2q = 46 ...(ii) On substracting Eq. (ii) from Eq. ( ...

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Quantitative Aptitude

Meeting Point

I. 3 p+2 q-58...

Question

I. $3 p + 2 q - 58 = 0$
II. $4 q + 4 p = 92$

p is greater than q

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p is less than q

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p is equal to q

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p is either equal to or greater than q

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p is either equal to or smaller than q

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Solution

The correct option is A p is greater than q
We have,
I. 3p + 2q = 58 ...(i)
II. 4p + 4q = 92
$\Rightarrow$ 2p + 2q = 46 ...(ii)
On substracting Eq. (ii) from Eq. (i), we get
p = 12
From Eq. (i), $3 \times 12 + 2 q = 58$
$\Rightarrow 2 q = 58 - 36 = 22$
$\Rightarrow q = 11$
$p > q$

Suggest Corrections

I. 3p+2q−58=0 II. 4q+4p=92

The correct option is A p is greater than qWe have, I. 3p + 2q = 58 ...(i) II. 4p + 4q = 92 ⇒ 2p + 2q = 46 ...(ii) On substracting Eq. (ii) from Eq. (i), we get p = 12 From Eq. (i), 3×12+2q=58 ⇒2q=58−36=22 ⇒q=11 p>q

I. $3 p + 2 q - 58 = 0$
II. $4 q + 4 p = 92$

The correct option is A p is greater than q
We have,
I. 3p + 2q = 58 ...(i)
II. 4p + 4q = 92
$\Rightarrow$ 2p + 2q = 46 ...(ii)
On substracting Eq. (ii) from Eq. (i), we get
p = 12
From Eq. (i), $3 \times 12 + 2 q = 58$
$\Rightarrow 2 q = 58 - 36 = 22$
$\Rightarrow q = 11$
$p > q$