Direction: Each of the question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement are sufficient to answer the question.
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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
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- 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
- If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question
- If the data in either Statement I alone or in Statement II alone are sufficient to answer the question
- If the data in both the Statements I and II are not sufficient to answer the question
- If the data in both the Statements I and II together are necessary to answer the question
Correct Option: A
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)
