Ever wonder just how smart you are? Dr. Gary Gruber, a recognized authority on standardized tests and critical thinking strategies, has constructed this short test - just 12 questions - to challenge your intelligence and help you determine whether you really have the smarts. There is no time limit. To get an accurate score, do not randomly guess.
1. Suppose I have 40 blue socks and 40 brown socks in a drawer. If I reach into the drawer without looking at the socks, what is the smallest number of socks I must take out to make sure that I have a pair of socks of the same color?
A-1 B-2 C-3 D-4 E-40
2. On a street there are 25 houses: 10 of the houses have fewer than 6 rooms; 10 of the houses have more than 7 rooms; 4 houses have more than 8 rooms. What is the total number of houses that have 6, 7 or 8 rooms?
A-5 B-9 C-11 D-14 E-15
3. Which completes the correct analogy:
BUILDING is to CHURCH as
A-dance is to ballet
B-poetry is to sonnet
C-museum is to relics
D-song is to hymn
E-ethics is to morality
4. What is the next number in the sequence:
0 0 1 2 2 4 3 6 4 8 5 ...
A-6 B-8 C-10 D-12 E-14
5 Which completes the correct analogy?
GEORGE WASHINGTON is to CHERRY TREE as
A-Albert Einstein is to atomic bomb
B-Abraham Lincoln is to emancipation
C-Richard Nixon is to Watergate
D-Thomas Jefferson is to Constitution
E-John Hancock is to signature
6. A triangle has sides of lengths A, B and C. Which is true?
A-C minus B is always greater than A
B-C minus B is always less than A
C-C minus B is always equal to A
D-There is no way to make any of the above comparisons between C minus B and A
7. In a room there are 5 blue-eyed blondes. If, all together there are 14 blondes and 8 people with blue eyes in the room, how many people are there in the room?
A-3 B-11 C-17 D-22 E-27
8. Suppose you have a digital clock where the minute digit is always the same as the hour digit. That is, the clock can read only times like 10:10, 8:08, 9:09 etc. What is the smallest time difference between such two acceptable double-digit times?
A-101 minutes B-61 minutes E-60 minutes F-49 minutes G-11 minutes
9. A square ABCO is inscribed in a quarter-circle with center O and with point B on the circumference of the circle. One of the vertices of the square is at O. What is the length of diagonal AC of the square if the radius of the circle is 5?
A-3 B-4 C-5 D-6 E-This cannot be determined
10. A ship is twice as old as the ship's boiler was when the ship was as old as the boiler is. The ratio of the boiler's age to the ship's age is
A-2/3 B-3/4 C-4/5 D-5/6 E-6/7
11. Which is greater: 50 times itself 100 times, or 100 times itself 50 times, or are the quantities equal?
A-50 times itself 100 times is greater
B-100 times itself 50 times is greater
C-the quantities are equal
12. Suppose you are given a triangle ABC with sides AB equals AC. Draw a line from C to side AB. Call the line CD. Now draw a line from B to side AC. Call that line BE. If angle EBC equals 60 degrees, angle BCD equals 70 degrees, angle ABE equals 20 degrees and angle DCE equals 10 degrees, find what angle EDC is. (Do not do this trigonomically; do it geometrically to get an exact answer.)
A-10 degrees B-15 degrees C-20 degrees D-25 degrees E-none of these
*****
1. If you're unlucky you'll get a blue and brown sock the first two tries, but the third try you'll have to get either a blue or brown sock, which will make a pair with one of the first two socks.
2. Houses that have fewer than 6 rooms is 10 (given). Houses that have 6, 7 or 8 rooms is x (unknown). Houses that have more than 8 rooms is 4 (given). The total is 25. 10 plus x plus 4 must equal 25, so x must be 11.
3. A church is a religious type of building as a hymn is a religious type of song.
4. There are really two sequences going on here. Notice that the even terms make a sequence by themselves: 0, 2, 4, 6, 8.... So the next term is 10.
5. George Washington is only superficially known for the cherry tree incident. John Hancock is only superficially known for his famous signature.
6. Add B to both sides of the comparison. Since A plus B is greater than C because the sum of two sides of a triangle is always greater than the third side, you have your answer.
7. Total number of people is:
Blondes WITHOUT blue eyes (14 minus 5 equals 9)
Blue-eyed people who are NOT blonde (8 minus 5 equals 3)
blue-eyed blondes
Adding a, b and c we get 9 plus 3 plus 5 equals 17
8. Think of the times 12:12 and 1:01, whose difference is 49 minutes.
9. One diagonal of the square is the radius of 5, so the other diagonal is also 5 since diagonals are equal.
10. Translate from words to math. Let S be the ship's age now; B is the boiler's age now; s is the ship's age then; and b is the boiler's age then. You would get:
S equals 2b
s equals B
B/S
unknown
B minus b equals S minus s, because B minus b and S minus s represents the same passage of time.
Substituting in the left side of and in the right side of we get:
B minus S/2 equals S minus B
Thus we get:
2B equals 3S/2 or
B/S equals 3/4
11. You are comparing 50 X 50 X 50 X 50 . . . (100 times) to 100 X 100 X 100 X 100 . . . (50 times). Write 100 as 50X2, so now you are comparing 50 X 50 X 50 X 50 . . . (100 times) to 50X2 X 50X2 X 50X2 X 50X2 . . . (50 times).
You can now cancel 50 X 50 X 50 X 50 ... 50 times from both sides of the comparison. You would then get 50 X 50 X 50 X 50 . . . (50 times) compared to 2 X 2 X 2 X 2 . . . (50 times. You can see that the left side of the comparison is much greater than the right side.
12. Use the fact that angle ABE is equal to 20 degrees and angle A is equal to 20 degrees to make the triangle AEB isosceles.
SCORING
NUMBER OF CORRECT ANSWERS AND YOUR ESTIMATED IQ:
1 100-110 (average)
2-4 120 (above average)
5-6 130 (very smart)
7-8 140 (very smart to near genius)
9-10 150 (genius)
11 160 (genius plus)
12 170 (super genius) .