416. A ladder leans against a vertical wall. The top of the ladder is 8 m above the ground. When the bottom of the ladder is moved 2 m farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder?

417. A student appeared for five papers in an examination, where the maximum marks were the same for each paper. His score in these papers were in the proportion of 6 : 7 : 8 : 9 : 10. In all papers together, the candidate obtained 60% of the total marks. In how many papers did he got more than 50% marks?

418. A certain city has a circular wall around it, and the wall has four
gates pointing north, south, east and west. A house stands outside the city, three kms north of the north gate, and it can just be seen from a point nine kms east of the South Gate. What is the diameter of the wall that surrounds the city?

419. A square, whose side is 2 meters, has its corners cut away so as to form an octagon with all sides equal. What is the length of each side of the octagon, in meters?

420. Consider a triangle. Its longest side has length 20 and another of its sides has length 10. Its area is 80. What is the length of its third side?

421)   8 out of 20 or  two-fifths  or 40%.  ( 1 is not prime according to one source I read)

422)  -3/4 slope

423)  90 - 48 degrees   or   42

424. If cos θ =12/13, find (cosecθ tanθ + sinθ cosecθ).

425. a ladder makes an angle 60° with the floor and its lower end is 4 m from the wall. Find the length of the ladder.

x.cos60 = 4, cos60 = 0.5, x = 4/0.5 = 8

OK. Editing and deleting now...

I'm going to change my answer for 117, and say 48 instead of 64.

why change your answer? after all, with the way your brain works, your first instinct/inclination is normally correct unless you are revising an error...

dude, chill! maybe if you spent more time with real people that aren't online, then you would be able to see that being rude and a total egomaniac aren't going to get you anywhere socially...and btwe, you're welcome!   

fifty words? really?

Me and pi man are both awesome at answering that question.

ganesh wrote:

(29) A mule and a donkey were going to the market laden with wheat. The mule said, "if you give me one measure, Iwould be carrying twice as much as you, but if I give you one, we would be having equal measures." What were their burdens?

(30) Amanda has 12 pairs of white socks and ten pairs of red socks. She keeps them all in the same drawer. If she picks out three socks at random, what is the probability that she would get a matching pair?

(31) I drove the first 60 kilometers at 30 km/hour and the next 60 kilometers at 50 km/hour. What was my avergae speed for the trip?

(32) The sum of two numbers is ten. Their product is twenty. Can you find the sum of the reciprocals of the two numbers? Don't know the answer

(33) Which of the following is the greatest?
log(20+40), log20+log40, Log(60-30), log60 - log30

Last edited by JaneFairfax (2007-02-27 15:21:26)

Yes, I fell into that trap as well. I diligently worked out what the two numbers needed to be, and it was only when I got to adding their reciprocals that I realised that I needn't have. Very nice, sneaky puzzle.