Question
If p = 30 - q - r and pq + r(q + p) = 296 then find the
value of (p 2 + q 2 + r 2 ) .Solution
We have, p = 30 - q - r
So, p + q + r = 30
And, pq + r(q + p) = 296
Or, pq + qr + pr = 296
Using, (p + q + r) 2 = p 2 + q 2 + r 2 + 2(pq + qr + pr)
So, 30 2 = (p 2 + q 2 + r 2 ) + 2 X 296
Or, p 2 + q 2 + r 2 = 900 - 592
Or, p 2 + q 2 + r 2 = 308
Statement: A ≥ B ≥ C = D > E, F > G = H ≤ C
Conclusion: I. C ≥ F II. F > D
...Statements: A @ B, B # C, C % D
Conclusions: a) A # C b) A @ D
Statement: C < P > T = E < R; G > R > A < D
Conclusions:
I. T < G
II. G ≥ P
III. T > A
Statement: J < L; J ≥ H > K; L ≥ F > M
Conclusion:
I. K ≥ L
II. F ≥ J
Which of the following symbols should replace the sign (@) respectively in the given expression in order to make the expression Y ≥ Z and D > K defin...
Statements: T @ A % S $ L © J
Conclusions:
I. T % L
II. T $ L
III. S # J
Statements: E < F > G; H < I ≤ F; E > D
Conclusions:
I. F > D
II. H < E
III. G < D
In the question, relationship between some elements is shown in the statements (s). These statements are followed by two conclusions. Read the statemen...
Statements: F ≤ G < H; F ≥ I < J; I > K ≥ L
Conclusions:
I. I ≤ G
II. J ≥ L
III. I > H
Statements: Y ≥ Q ≥ P = T; T ≤ H < O; O > I
Conclusions:
I. P ≥ O
II. I > P
III. T < Y
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