Question
The angles of a quadrilateral are in AP. The greatest
angle is double the least. Find the least angle.Solution
Let the four angles of a quadrilateral are (a−3d)°, (a−d)°, (a+d)° and (a+3d)° a−3d+a−d+a+d+a+3d=360° => a = 90° But the greatest angle is double the least, i.e., a+3d=2×(a−3d)=2a−6d 9d=2a−a=a=90° d = 90/9 = 10° Least angle a−3d=90°−3×10°= 60°
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and t...
Statements: A ≥ B ≥ Y = Z = M ≥ N ≤ E ≤ F = J
Conclusions:
I. F > Z
II. J ≤ Y
...Which of the following will be definitely false if the given expression F > G ≥ H > I ≥ J > K = M ≤ N > L ≤ O is definitely true?
Statement:
R ≤ P >K ≤ L; W ≤ X = K > O; Q > L
Conclusion:
I) W < L
II) L = W
Statement: F < G; H ≥ I; H ≥ K; I > G ≥ J
Conclusion:
I. G > K
II. K > J
Statements: U = R < M < Q < P; A > B > E < R < T; I < N = B > U > X
Conclusions:
I.  P ≤ U
II. Â T > A
...Statement:
O ≤ P >K ≤ L; W ≤ X = K > R; Q > L
Conclusion:
I) W < L
II) L = W
Statement: D < I < J = M = NÂ `>=` R > X
  Conclusion: I. J > X           II. D < N
...Statement: L ≥ I ≥ K = J ≥ T ≥ V
Conclusions:
I. V < L
II. L ≥ T
Statements: O ≥ M > F, K ≤ J ≤ D = F, B ≤ Z ≤ L = K
Conclusion:
I. M > L
II. D ≥ B