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What is the value of p2 + q + r? I. 4p + 3q + 5r = 60, 2p = q, 2q = r II. 3p + 3q + 2r = 34, 2p + 5q + 6r = 72

Correct Answer: If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question

Explanation:

From Statement I , given that
4p + 3q + 5r = 60...............(i)
2p = q
p = q/2 ................(ii)
and 2q = r ....................(iii)
putting the value of p and r in terms of q in Eq. (i),
4 x q/2 + 3q + 5 x 2q = 60
15q = 60
q = 4
put the value of q in Eq. (ii)
⇒ p = q/2 = 4/2
p = 2;
put the value of q in Eq. (iii)
r = 2q = 2 x 4
r = 8
∴ value of p2 + q + r = (2)2 + 4 + 8 = 16
From Statement II,
3x + 3y + 2z = 34 ..............(a)
and 2x + 5y + 6z = 72 ....(b)
We cannot find the value of p, q and r from Eqs. (a) and (b)


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