CAT Question of the Day In triangle ABC, AB = 13, BC = 15 and CA = 14. Point D is on BC with CD = 6. Point E is on BC such that ∠BAE = ∠CAD. Given that BE = p/q where p and q are relatively prime positive integers, find q.
| OPTIONS | | |  | 1) | 338 | | | 2) | 469 | | | 3) | 463 | | | 4) | 336 |
Tip of the Day Data sufficiency questions are generally yes/no questions where the statements have to be analyzed for their sufficiency in solving the problem. It may not be necessary to solve the question and to get the answer. Last year's Question of the day (28-Nov-11) The sides of any ΔABC are extended in such a way E-A-C-H, D-A-B-G and F-B-C-I. Also EA = AD = BC, FB = GB = AC and CI = CH = AB.
It is known that the points D, E, F, G, H and I lie on the same circle. Where is the center of this circle?
| OPTIONS | | | | | 1) | The circumcenter of Δ ABC | | | 2) | The incenter of Δ ABC | | | 3) | The orthocenter of Δ ABC | | | 4) | The centroid of Δ ABC |
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