Question
In Fig. if QT ⊥ PR, ∠TQR = 40 ° and ∠SPR = 30
° , find x and y.         ÂSolution
In ∆ TQR, 90° + 40° + x = 180°(Angle sum property of a triangle) Therefore, x = 50° Now, y = ∠SPR + x (ext. angle equal to sum of opp. int angles) Therefore, y = 30° + 50° y = 80°
Statement: M < N ≤ O = P, Q ≥ O ≤ R ≤ Z
Conclusion: I. Q > M Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. Z > M
...Statements: E ≥ F ≥ A ≤ W, N ≥ M ≥ Y = E
Conclusion:
I. N > W
II. Y ≥ A
Statements: I % C, C & D, D $ K, K # Z
Conclusions: I. I & DÂ Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â II. D # Z
...Statement: A ≤ B ≤ C > D; E < D; F > E
Conclusions: I. D > A II. E < C
...Statements: E ≥ F ≥ A = M, F ≥ N > W ≥ X
Conclusion:
I. E ≥ X
II. E > X
Statements: V < P ≤ F = Y, Y < O ≤ J < SÂ
Conclusions:
I. V ≤ O
II. F < J
III. S > P
Statements:
E ≤ A > J ≥ L; Y > J < D
Conclusions:
I. D > L
II. A > L
Statement: Q > R; O < K ≤ N; O ≥ S > R
Conclusion: I. O ≥ Q     II. R < N.
Statements: G > L = V ≥ Z ≤ O = Q < K < N
Conclusions:
I. L ≥ Q
II. Z < NIn the following questions assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and the...