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If tan A = √5 – 2 then the value of cot A = 1/tan A = 1/√5 – 2 Now rationalising, => cot A = (1/√5 – 2) x [(√5 + 2)/(√5 + 2)] => cot A = √5 + 2 So, tan A - cot A = (√5 – 2) - (√5 + 2) = -4
Statements:Q = S > T > Z; T > Y = H < I
Conclusions: I. Z > H II. I > Z
Statement:
O ≤ P > K ≤ L; W ≤ X = K > R; Q > L
Conclusion:
I. O > K
II. L < P
Statements: A > C = E > G, G > J ≥ L = N
Conclusion:
I. A > L
II. A ≥ N
Statements:
A ≤ B < C > K; C < S > T; T < U < V
Conclusions:
I). A < S
II). A ≥ S
...Statements: B > A = D ≥ C = I ≥ H > E > F > G
Conclusions:
I. C ≥ E
II. E > C
III. A ≥ D
Statements: S > V = T, U < X < T, W > U
Conclusions:
I. W > T
II. V > U
III. S > X
Statement: B = E ≥ F ≥ M < J < V ≥ R; M > A
Conclusion:
I. A ≥ R
II. B > A
...Statements:
P < Q < R < S ≤ B < H; S > N ≥ Y
Conclusions:
I) P < Y
II) R ≥ N
Statements: O > P ≥ Q; N ≤ M < R; O = M ≤ S
Conclusions:
I. N < O
II. R > P
III. Q < M
Statement:
J < K ≤ M > O; M > P < Z; Z = R
Conclusion:
I. P < K
II. R > K
