A square is made by joining the mid-points of the sides of the larger square. There is circle inscribed in the smaller square and an equilateral triangle inscribed in the circle. Find the ratio of the side of larger square to the side of the equilateral triangle?
Let the side of larger square = 2a Side of smaller square = √(a²+a²) = √a a Radius of circle = (√a a)/2 = a/√a Let side of triangle be ‘x’ Radius of circumcircle of triangle = x/√3 Therefore; x/√3 = a/√2 a/x = √2/√3 2a/x = (2√2)/√3
Statements: C = A ≤ H < K ≥ L = Q; S = T ≥ K
Conclusion: I. C < T II. A = S
...How many such pairs of letter are there in the word TELEPHONE, each of which has as many letters between them in the word as in the English alphabet?
Statements:
I @ L © R * A $ M
Conclusions:
I. R * M
II. A % L
III. A % I
Statements: A % O & Z % O; O # C & E; E @ P # D
Conclusions : I. C @ P II. A % P ...
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 th...
Statements: P = J = W; W ≥ Y < Q; Q < Z = L
Conclusions:
I. W ≥ Z
II. W < Z
Statements: A > B ≥ C; D ≤ C > E > F; H < F
Conclusions:
I. H ≤ B
II. A > D
III. D > F
Statement: F < G; H ≥ I; H ≥ K; I > G ≥ J
Conclusion:
I. G > K
II. K > J
Statements: P # Q @ R & S @ T # W % I, K $ S @ L
Conclusions: I. Q # W II. R & L
...Statements: M * T, D % T, D # K, K $ R
Conclusions: I. M * D II. T # K II...