Question
In a triangle ABC, a point D lies on AB and points E and
F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm. EF = 6cm. then find the length (in cm) of BC.Solution
Δ BDE ~ Δ BAF -------- (i) Δ BDF ~ Δ ABC ------- (ii) From (i), => x/(x+y) = 4/10 ------- (iii) From (ii), => x/(x+y) = 10/(10+t) ------- (iv) Now using (iii) in (iv) we get, => 4/10 = 10/(10+t) => 20 + 2t = 50 => t = 15 Therefore, BC = 4 + 6 + 15 = 25 cm
Statements: Q © E, S % C, E $ S, C @ AÂ
Conclusions:Â
I. A © CÂ
II. S % AÂ
III. C © Q
Statements:Q = S > T > Z; T > Y = H < I
Conclusions: I. Z > H II. I > Z
Statements:
Few Platforms are Trains.
All Platforms are Stations.
Some Stations are not Passengers.
Conclusion:
I. No...
Statements: D = B ≤ I < L ≥ M = R; T = U ≥ L
Conclusion: I. D < U II. B = T
If A = B, C ≥ D, A < D and  E > B , then which of the following conclusion is true?
Statements: I > J = K ≥ M; D ≥ F ≤ E = I
Conclusions:
I. M < E
II. D ≥ MWhich of the following expressions will be true if the expression Q ≥ M = R > F = E ≤ X is definitely true?
Statement: W ≥ V > U < G ≥ S; V ≥ I = P
Conclusion: I. W > IÂ Â Â Â Â Â II. W = P
In the following question the relationship between different elements is given in the statements followed by three conclusions I, II and III. Read the ...
Statement: L ≥ M ≤ R = S; M > N ≥ P
Conclusions:
I. P ≤ M
II. L > N