Triangle ABD and triangle ECD are similar triangles (share the same angle)
Hence EC = 3 (3,4,5 triangle)
Also triangle AEF and ECD are similar triangles, since they are formed by parallel lines cut by a line (transversal as math geeks would call it)
Infact these traingles are equal since AE = ED = 5
Area of the quadrilateral = 1/2 (4) (3+6) = 18
2. C (It will not pass), assuming that each of the L's vote YES on the bill, Otherwise it is E.
From #1 we get total L's who vote = (55/100)*400*(85/100) = 187 (But we don't know about Rs and Ds.
From #2 we know that none of the Rs or Ds vote.
Hence total votes = 187 < 189. Hence C. (or E if we don't know each one will vote YES or NO)
3. 11 (div by 78) + 9 (div by 91) = 20.
78*10 = 780 (including 78 there are 10 numbers. Excluding 78 there are 9 of them)
78+78*2 = 936 < 1000. So 2 more available.
Hence No divisible by 78 =9+2 = 11
Similarly for 91 there are 10-1 = 9
Total = 20.
"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."
- Bernard Edmonds