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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.

OA's please?
_________________

"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."

Both are equal if 2*3 and 7 have a common multiple, wich is 7 and 6 respectively. Notice that above you needn't to look out for common multiples above 999.

Both are equal if 2*3 and 7 have a common multiple, wich is 7 and 6 respectively. Notice that above you needn't to look out for common multiples above 999.

So 7*2*3*13=546, or 6*7*13 is counted twice

So 19 is the answer

Tooo good allabout! Thanks for explaining it very clearly! I'll remember this.
_________________

"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."

hey all about, i got this question from a grp! someone had posted the questions and answers and asked for explanations. by far , her answer for the 3rd question was 20 , so i am not sure !

so i dont have a OA. I am sorry!
_________________

hey all about, i got this question from a grp! someone had posted the questions and answers and asked for explanations. by far , her answer for the 3rd question was 20 , so i am not sure !

so i dont have a OA. I am sorry!

Ok, the question may be ambiguous, since "different numbers" is omitted.

Generally 546 is one number, so the answer is 19 not 20.

hey all about, i got this question from a grp! someone had posted the questions and answers and asked for explanations. by far , her answer for the 3rd question was 20 , so i am not sure !

so i dont have a OA. I am sorry!

Ok, the question may be ambiguous, since "different numbers" is omitted.

Generally 546 is one number, so the answer is 19 not 20.