IQ Test (Spatial Reasoning)
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Question 1 of 12
1. Question
The black circle represents all Smaugs, the red circle represents all Toogs, and the green circle represents all Ficks.) Which region represents “Things that are all three: Smaugs, Ficks, and Toogs” ?Correct
Incorrect

Question 2 of 12
2. Question
Sales of the company’s new cola are through the roof! It is represented in purple, with 4000 units sold. The green bar represents the Green Soda, with 3700 units sold. How much faster will the new soda grow?Correct
Incorrect

Question 3 of 12
3. Question
Ralph travels four blocks north, then two blocks east, then three blocks south and finally two blocks west. How many blocks is Ralph from his starting place?
Correct
Incorrect

Question 4 of 12
4. Question
What is the minimum number of toothpicks necessary to spell the word “HAT”. (You are not allowed to break or bend any toothpicks)
Correct
Incorrect

Question 5 of 12
5. Question
Correct
A, B, and D can be made with two lines. C requires three strokes.
Incorrect
A, B, and D can be made with two lines. C requires three strokes.

Question 6 of 12
6. Question
Assume that the red and blue blobs are two pieces that form the green blob. Also assume that the area of the green blob in square centimeters is three times the area of the red blob. If the area of the green blob is 750 square centimeters, what is the area of the blue blob?Correct
Green blob = 750 = blue + red
Green = 3 x red
So, red must equal 250, and therefore, blue is 500Incorrect
Green blob = 750 = blue + red
Green = 3 x red
So, red must equal 250, and therefore, blue is 500 
Question 7 of 12
7. Question
The quadrilateral above has four sides, whose lengths are represented by A, B, C, and D. If we wanted to calculate the area of the quadrilateral, which of the lengths must we know to make the calculation?Correct
(Note that C does not equal D.) We can see that this shape is a rectangle combined with a right triangle. The rectangle has sides D and C. The triangle has sides equal to C, A, and (B – D). Since it is a right triangle, we could calculate any one side by having the other two sides. (ie. Use C and A to calculate (B – D), or use C and (B – D) to calculate A.) So, if we had any three lengths, we could calculate the other, and therefore, calculate the total area.
Incorrect
(Note that C does not equal D.) We can see that this shape is a rectangle combined with a right triangle. The rectangle has sides D and C. The triangle has sides equal to C, A, and (B – D). Since it is a right triangle, we could calculate any one side by having the other two sides. (ie. Use C and A to calculate (B – D), or use C and (B – D) to calculate A.) So, if we had any three lengths, we could calculate the other, and therefore, calculate the total area.

Question 8 of 12
8. Question
The above piechart represents the results of an election on an alien planet. The candidate, Hum, won the election, receiving five times as many votes as Yab. Pip received 30% of all votes. What percentage of votes did Hum receive?Correct
If Pip received 30%, then the other two split 70%. Since Hum had five times as many votes as Yab, then 58.3% is what Hum must have had.
Incorrect
If Pip received 30%, then the other two split 70%. Since Hum had five times as many votes as Yab, then 58.3% is what Hum must have had.

Question 9 of 12
9. Question
Correct
Incorrect

Question 10 of 12
10. Question
Assume the following measurements. X = 8 feet. Y = 20 feet. The region ‘a’ has an area of 40 square feet. The region ‘b’ has an area of 65 square feet. What is the area of region ‘c’?Correct
XY = area of the rectangle. We know the region ‘a’ and ‘b’, but are left with two unknowns: region ‘c’ and the gray area. Since we have no data on the gray area, we can’t know region ‘c’.
Incorrect
XY = area of the rectangle. We know the region ‘a’ and ‘b’, but are left with two unknowns: region ‘c’ and the gray area. Since we have no data on the gray area, we can’t know region ‘c’.

Question 11 of 12
11. Question
All of these shapes are actually pictures of four different alien life forms. An alien psychologist was hired to determine which of the life forms was the most normal of the four. Which do you think was chosen?Correct
The psychologist chose A, because he had the most “normal” qualities of all the organisms. The most common head was blue; the most common tail was red; and a single tail was the most common.
Incorrect
The psychologist chose A, because he had the most “normal” qualities of all the organisms. The most common head was blue; the most common tail was red; and a single tail was the most common.

Question 12 of 12
12. Question
(Use the Venn Diagram above to answer the question. The black circle represents all Smaugs, the red circle represents all Toogs, and the green circle represents all Ficks.) What does region “d” represent?Correct
Things that are all three: Smaugs, Ficks and Toogs
Incorrect
Things that are all three: Smaugs, Ficks and Toogs