Others Maths Puzzle

In an acute angled triangle ABC, points 'D' and 'E' lie on sides BC and AC respectively, such that AE = EC. AD and BE intersect at point F. If the areas of triangles AEF and BDF are 9 cm2 and 3 cm2 respectively, then the area of triangle ABC (in cm2) is???
1)24
2)36
3)45
4)98

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Others Other Question
Five consecutive positive integers have the property that the sum of the second, third and fourth is a perfect square, while the sum of all five is a perfect cube. If m is the third of these five integers, then the minimum possible value of m satisfies

(A) m ≤ 200
(B) 200 < m ≤ 400
(C) 400 < m ≤ 600
(D) 600 < m ≤ 800
(E) m > 800 Find the number of digits in 3^74

35
37
34
36