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int64
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1.25k
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133
2.16k
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stringlengths
22
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3 values
214
Some of the small squares on each of the square transparencies have been coloured black. If you slide the three transparencies on top of each other, without lifting them from the table, a new pattern can be seen. What is the maximum number of black squares which could be seen in the new pattern?
[ "6", "7", "8", "9" ]
C
spatial
easy
215
Alice has four jigsaw pieces. Which two can be fitted together to form a hexagon (the figure in the right of the image is a hexagon)?
[ "The first piece and the second piece", "The first piece and the third piece", "The second piece and the fourth piece", "The third piece and the fourth piece" ]
B
deductive
medium
216
A Wall was tiled alternately with grey and striped tiles. Some tiles have fallen from the wall. How many grey tiles have fallen off?
[ "5", "6", "7", "8" ]
C
algorithmic
easy
217
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
D
analogical
easy
218
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
D
analogical
easy
219
Choose the most appropriate option from the four given choices to fill in the question mark, so that the figures follow a pattern.
null
A
inductive
medium
220
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
null
A
spatial
easy
221
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
null
A
spatial
easy
222
We want to walk from C to R along the lines and pick up the letters CENTER in the correct order. The length of the shortest walk in units is (the length of each grid is 1 unit):
[ "21", "22", "20", "23" ]
C
algorithmic
medium
223
Can you count the number of left hands in the picture?
[ "0", "5", "6", "7" ]
A
algorithmic
medium
224
Amy had a few 2-ray shapes as pictured in the figure. She attached them together as pictured in the figure on the right. At minimum, how many shapes did she use?
[ "4", "5", "1", "6" ]
B
algorithmic
easy
225
For the picture galleries the plans of which are given in Fig. 1, find the smallest number of attendants who, if placed in the various doorways connect two adjacent rooms, can supervise all rooms. Use integer programming and the simplex method to solve. <image 1>
[ "(a) 1,(b) 2", "(a) 2, (b) 3", "(a) 2,(b) 2", "(a) 1,(b) 3" ]
B
spatial
medium
226
Identical rectangular tiles cover the floor as shown. The length of the shorter side of each tile is 4 units. The length of the shorter side of the floor (in unit) is:
[ "40", "39", "36", "44" ]
A
algorithmic
easy
227
In the food web diagram, an arrow leading from A to B conveys that A transfers essential energy to B to keep it alive. If all the algae dies, then water flea population will:
[ "remains the same", "decrease", "increase", "NA" ]
B
deductive
easy
228
The entire pie seen in the figure is divided among several children in a room. Each child receives a piece of pie, and each piece of pie looks identical. How many children can possibly be there such that the room has the most number of children?
[ "8", "10", "13", "14" ]
B
algorithmic
easy
230
The sticks lie on top of each other. Stick 2 is at the top. Stick 6 is at the bottom. Which stick is in the middle?
[ "3", "4", "1", "5" ]
C
spatial
easy
231
Kangi goes directly from the zoo to school (Schule) and counts the flowers along the way. Which of the following numbers can he not obtain this way?
[ "9", "10", "11", "12" ]
C
algorithmic
medium
232
The picture shows a Fortress made from cubes. How many cubes were used to make it?
[ "52", "55", "56", "59" ]
C
spatial
medium
233
Inside each unit square a certain part has been shaded. In which square is the total shaded area the largest?
null
A
algorithmic
medium
234
Bridget made a structure using some brown bricks and 55 green bricks. How many of these green bricks are not visible in the figure?
[ "62", "18", "0", "32" ]
D
spatial
medium
235
Divide the following six figures into two categories, so that each category displays its own pattern.
null
C
inductive
hard
236
A large square consisted of 16 identical small squares, but some of these small squares disappeared. How many small squares disappeared?
[ "2", "8", "5", "9" ]
C
algorithmic
easy
237
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
C
analogical
medium
238
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
B
analogical
medium
239
Kathryn had some 3-ray slices as shown in the drawing. She attached them together as shown in the drawing on the right. At least how many slices did she use?
[ "6", "0", "2", "3" ]
D
algorithmic
easy
240
Divide the following six figures into two categories based on their patterns.
null
C
inductive
hard
241
Using these tiles <image1> Robert makes different patterns. How many of the patterns shown in <image2> can he make?
[ "2", "3", "4", "5" ]
C
spatial
medium
242
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
B
analogical
easy
243
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
null
A
spatial
easy
244
Which number should be written in place of the question mark?
[ "54", "57", "60", "63" ]
C
inductive
easy
245
One chocolate needs 2 dollars. There is a discount sale so Victor can purchase 7 chocolates for 7 dollars. How many chocolates maximum can Victor buy with 32 dollars?
[ "12", "37", "30", "19" ]
C
algorithmic
easy
246
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
A
analogical
medium
247
Consider the figure consisting of a square, its diagonals, and the segments joining the midpoints of opposite sides. The total number of triangles of any size in the figure is
[ "12", "14", "16", "18" ]
C
spatial
medium
248
Stan has five toys: a ball, a set of blocks, a game, a puzzle and a car. He puts each toy on a different shelf of the bookcase. The ball is higher than the blocks and lower than the car. The game is directly above the ball. On which shelf can the puzzle not be placed?
[ "2", "3", "4", "5" ]
B
deductive
medium
249
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
null
A
spatial
easy
250
How many blocks are missing in this igloo?
[ "8", "9", "10", "11" ]
C
algorithmic
easy
251
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
D
analogical
easy
252
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
A
analogical
medium
253
Choose the most appropriate option from the four given choices to fill in the question mark, so that the figures follow a pattern.
null
D
inductive
medium
254
A monkey has torn off a piece of Captain Jack's map as shown in <image1>. What does the piece the monkey has torn off look like? Choose the best option in <image2>
null
B
deductive
easy
255
Can you count the number of left hands in the image?
[ "6", "7", "3", "11" ]
A
algorithmic
medium
256
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
null
A
spatial
easy
257
Which of the following options follows the pattern in the given figure?
null
A
inductive
medium
258
Choose the most appropriate option from the four given choices to fill in the question mark, so that the figures follow a pattern.
null
D
inductive
hard
259
One chocolate costs 3 dollars. There is an ad as pictured in the figure. How many chocolates at most can Derrick get with 32 dollars?
[ "2", "10", "25", "18" ]
D
algorithmic
medium
260
Chantal has placed numbers in two of the nine cells (see diagram). She wants to place the numbers 1, 2, 3 in every row and every column exactly once. How big is the sum of the two numbers in the grey cells?
[ "2", "3", "4", "5" ]
C
deductive
medium
261
How many triangles can you see?
[ "21", "44", "62", "63" ]
B
spatial
medium
262
In each of the squares in the grid, one of the letters P, Q, R and S must be entered in such a way that adjacent squares (whether connected by an edge or just a corner) do not contain the same letter. Some of the letters have already been entered as shown. What could be the letter in the shaded square?
[ "only Q", "only R", "only S", "either R or S, but no others" ]
D
deductive
medium
263
How many triangles can you find in the picture?
[ "3", "4", "5", "6" ]
C
algorithmic
easy
264
Turning a card around on the top side, we see the photo of the kangaroo as shown in <image1>. Instead, if we turn the card around on the right side, what will appear? Pick the correct option in <image2>.
null
D
spatial
medium
265
What is the minimum number of cells of a 5 times 5 grid that have to be coloured in so that every possible 1 times 4 rectangle and every 4 times 1 rectangle respectively in the grid has at least one cell coloured in?
[ "4", "5", "6", "7" ]
C
spatial
medium
266
Choose the most appropriate option from the four given choices to fill in the question mark, so that the figures follow a pattern.
null
A
inductive
hard
268
Divide the following six figures into two categories, so that each category displays its own pattern.
null
B
inductive
hard
269
Kenneth created a structure using some blue bricks and 40 white bricks. How many of these white bricks are not visible in the image?
[ "37", "13", "33", "20" ]
D
spatial
medium
270
One chocolate is sold for 4 dollars. There is a rebate sale so Joseph can purchase 8 chocolates for 17 dollars. How many chocolates maximum can Joseph get with 45 dollars?
[ "18", "32", "33", "21" ]
A
algorithmic
medium
271
We want to walk from C to T along the lines and pick up the letters COLLECT in the correct order. If the length of each grid is 1 unit, then the length of the shortest walk in units is:
[ "23", "18", "19", "16" ]
C
algorithmic
medium
272
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
null
A
spatial
easy
273
How many squares can you see in the image?
[ "9", "11", "13", "14" ]
D
algorithmic
medium
274
The entire pie seen in the picture is divided among several children. Each child receives a piece of pie, and each piece of pie looks identical. What is the maximum possible number of children there?
[ "6", "2", "5", "8" ]
C
algorithmic
easy
275
The left diagram shows a given object. Which option on the right cannot be a side view of this object?
null
C
spatial
medium
276
The sticks lie on top of each other. Stick 3 is at the bottom. Stick 4 is at the top. The stick in the middle is:
[ "5", "2", "7", "6" ]
B
spatial
medium
277
Stephen encrypts words applying the matrix presented. For example, the word THOSJ is encrypyed as DI LA JN LO EN. What word did Stephen encrypt JN DO LN MI DN?
[ "VIMDW", "ONRLD", "KGDCS", "ONLRD" ]
B
deductive
medium
278
Rory uses four identical standard dice to build the solid shown in the diagram. Whenever two dice touch, the numbers on the touching faces are the same. The numbers on some of the faces of the solid are shown. What number is written on the face marked with question mark? (On a standard die, the numbers on opposite faces add to 7.)
[ "3", "4", "5", "6" ]
C
deductive
medium
279
Divide the following six figures into two categories, so that each category displays its own pattern.
null
B
inductive
hard
280
Given the analogy in the first line of items, which choice fits best in the black question mark?
null
C
analogical
easy
281
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
C
analogical
medium
282
Choose the most appropriate option from the four given choices to fill in the question mark, so that the figures follow a pattern.
null
A
inductive
hard
283
Given a pair of chairs arranged at a specific angle, select the option from the four provided that matches the angle of the chairs in the question.
null
A
spatial
easy
284
One chocolate is sold for 9 coins. There is an ad as shown in the figure. How many chocolates at most can John buy with 378 coins?
[ "119", "87", "28", "66" ]
D
algorithmic
medium
285
Nine whole numbers were written into the cells of a 3 x 3 table. The sum of these nine numbers is 500. We know that the numbers in two adjacent cells (with a common sideline) differ by exactly 1. Which number is in the middle cell?
[ "54", "56", "57", "59" ]
B
deductive
hard
286
Choose the most appropriate option from the four given choices to fill in the question mark, so that the figures follow a pattern.
null
C
inductive
hard
287
Which patterned block goes in the plain block?
null
A
analogical
hard
288
Juca wrote a whole number greater than zero in each of the boxes on the 3 times 3 board on the right, so that the sums of the numbers in each row and in each column are equal. The only thing Juca remembers is that there are no three numbers repeated. What number is written in the box of the center?
[ "1", "3", "4", "5" ]
C
deductive
medium
289
Ellen wants to decorate the butterfly in <image1> using the 6 stickers in <image2>. She could color the stickers in any color. Which butterfly can she make in <image3>?
null
A
deductive
medium
290
Max has 10 dice. Which one of the following solids can he build with them?
null
A
spatial
medium
291
Jan cannot draw very accurately but nevertheless he tried to produce a roadmap of his village. The relative position of the houses and the street crossings are all correct but three of the roads are actually straight and only Qurwik street is not. Who lives in Qurwik street?
[ "Amy", "Ben", "Carol", "David" ]
C
deductive
hard
292
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
A
analogical
medium
293
Gabriel assembled a stacking toy using 7 blocks. How many blocks will he see from top?
[ "2", "1", "6", "5" ]
A
algorithmic
easy
294
After folding a sheet of paper 2 times through the dashed lines, a man cuts it through the red line as shown. How many pieces of paper does he end up with?
[ "3", "6", "2", "5" ]
A
spatial
medium
295
Which of the following options best fits the given pattern in the diagram?
null
A
inductive
hard
296
A large square consisted of 16 identical small squares, but some of these small squares disappeared. How many small squares disappeared?
[ "3", "7", "6", "4" ]
B
algorithmic
easy
297
Divide the following six figures into two categories, so that each category displays its own pattern.
null
B
inductive
hard
298
Max wants to complete the jigsaw shown in <image1>. He has different pieces in <image2>. Which pieces does he have to use?
null
A
deductive
medium
299
Tom wants to completely cover his paper boat in <image1> using the shapes in <image2>. What is the smallest number of shapes he needs for that?
[ "4", "5", "6", "7" ]
C
deductive
medium
300
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
B
analogical
medium
302
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
A
analogical
medium
303
Choose the most appropriate option from the four given choices to fill in the question mark, so that the figures follow a pattern.
null
A
inductive
hard
305
A large square comprised 16 identical small squares, but some of these small squares disappeared. How many small squares disappeared?
[ "5", "9", "11", "10" ]
B
algorithmic
easy
306
What would happen to the population of adult spiders if predator ate all the spider eggs?
[ "Adult spider population would remain the same", "Adult spider population would double.", "Adults spider population would decrease", "Adult spider population would increase." ]
C
deductive
medium
308
One chocolate is sold for 1 dollar. There is a rebate sale as depicted in the figure. How many chocolates maximum can Vickie get with 56 dollars?
[ "64", "53", "10", "128" ]
A
algorithmic
medium
309
Choose the most appropriate option from the four given choices to fill in the question mark, so that the figures follow a pattern.
null
C
inductive
hard
310
Choose the most appropriate option from the four given choices to fill in the question mark, so that the figures follow a pattern.
null
B
inductive
hard
311
Nathalie wanted to build a large cube out of lots of small cubes. How many cubes are missing from the picture on the right that would be needed to build the large cube on the left?
[ "5", "6", "7", "8" ]
C
spatial
medium
313
Based on the relationship between Origin and Analogy, select the option from the candidates that best completes this analogy.
null
B
analogical
medium
314
Each of the numbers 1,4,3,0 and 10 is written in one of the colored circles so that the sum of the numbers in the row is equal to the sum of the numbers in the column. Which number can be written in the pink circle?
[ "only 1", "only 10", "1 or 3", "4 or 10" ]
B
algorithmic
medium
315
Choose the most appropriate option from the four given choices to fill in the question mark, so that the figures follow a pattern.
null
A
inductive
hard
316
Ana has the cards shown in <image1>. She chooses several of them to assemble the tower shown in <image2>. Which cards from <image3> did she not use?
null
C
deductive
medium
317
The big cube is made up of three different kinds of building blocks (see diagram). How many of the little white cubes are needed for this big cube?
[ "10", "11", "12", "13" ]
B
spatial
medium
318
Divide the following six figures into two categories, so that each category displays its own pattern.
null
C
inductive
hard
319
A large square consists of 16 identical small squares, but some of these small squares are now missing. How many small squares are missing?
[ "12", "6", "7", "8" ]
D
algorithmic
easy