Friday, January 11, 2008

An I.Q. Test

Part of Einstein IQ Test

1) 12 members were present at a board meeting. Each member shook hands with all of the other members before & after the meeting. How many hand shakes were there?

2) At Probability University, there are 375 freshmen, 293 sophomores, 187 juniors, & 126 seniors. One student will randomly be chosen to receive an award. What percent chance is there that it will be a junior? Round to the nearest whole percent.

3) If you take a marker & start from a corner on a cube, what is the maximum number of edges you can trace across if you never trace across the same edge twice, never remove the marker from the cube, & never trace anywhere on the cube, except for the corners & edges?

4) A cube is made of a white material, but the exterior is painted black. If the cube is cut into 125 smaller cubes of exactly the same size, how many of the cubes will have 2 of their sides painted black?

5) In another galaxy, a certain nation of creatures speak a language known as Algramara. In this language, "harvec tood zevac" means "my tooth hurts," "lavec lina zevac" means "my delicious food," & "zevac corma lina" means "eating my food." What does "corma harvec zevac tood" mean?

6) If you started a business in which you earned $1 on the first day, $3 on the second day, $5 on the third day, $7 on the fourth day, & so on, how much would you have earned with this business after 50 years (assuming there are exactly 365 days in every year) - hint:fold in half?

7) A worker earns a 5% raise. A year later, the worker receives a 2.5% cut in pay, & now her salary is $22702.68. What was her salary to begin with?

8) How many weeks have 156 hours in them?

10) What letter completes this set?2k 2q 16p 4r 4b 4 - hint:pay raise/pay cut

For answers go to Comments.

1 comment:

Morgan said...

ANSWERS:
1)132
*the first person shakes hands with 11 people, the second person also shakes hands with 11 people, but you only count 10, because the hand shake with the first person was already counted...
2)19%
*187:981x100
3)9
4)44
*36 of the cubes have EXACTLY 2 of their sides painted black. Also count a cube with 3 of its sides painted black
5)Eating hurts my tooth
6)$333,062,500
*365x50=18250 x 18250
7)$22176.
8)All of them.
9)2 kings, 2 queens, 16 pawns, 4 rooks, 4 bishops, & 4 knights, so the answer is k or n (the latter due to chess notation - k is already taken for the king).