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Abstract Reasoning

Abstract Reasoning. Young Einstein Learning Center College Entrance Test Review Simulated Exam. Completing the series. 1. A B C D E.

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Abstract Reasoning

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  1. Abstract Reasoning Young Einstein Learning Center College Entrance Test Review Simulated Exam

  2. Completing the series

  3. 1 A B C D E The first square has 25 black squares, the second has 16, the third 9, the fourth 4 and so the 5th will have one square (reducing sequence of the square numbers 25, 16, 9, 4, 1) Also squares are removed from the right and from the bottom, so the final square will be in the top left corner. ANSWER: D

  4. 2 A B C D E The first box has two lines, the second 3, the third 4, the fourth 5 and so the fifth box will have six lines, so the answer is.. ANSWER: C

  5. 3 A B C D E The first box has 5 short lines and no long lines, the second box: 4 short & 1 long, the third box: 3 short & 2 long, the fourth box 2 short and 3 long. So each time there is one more long line and one less short line, so in the fifth box there will be 1 short and 4 long lines. ANSWER: A

  6. 4 A B C D E Each box contains 8 straight lines and a circle. Only answer C contains 8 straight lines and a circle. ANSWER: C

  7. 5 A B C D E The first box has 7 straight lines, the second 11, the third 15, the fourth 19 and so the fifth box will have 23 lines, so the answer is C ANSWER: D

  8. 6 A B C D E Triangle pattern: Triangle Triangle None Triangle… The next one should have a Triangle. All images have V. ANSWER: D

  9. 7 2 3 4 1 A B C D E Number of black circles: 1, 2, 3, 4… so the next one in the pattern should have 5. ANSWER: A

  10. 8 A B C D E Shapes are rotating COUNTERCLOCKWISE Answer should have a square at the upper right corner to continue the counterclockwise movement. ANSWER: B

  11. 9 A B C D E Number of squares: 3, 4, 5, 6… the next one should have 7. The set of 3 squares should be on top, and the other set should be at the bottom. ANSWER: A

  12. 10 4 3 2 1 8 6 4 2 A B C D E Number of black circles are decreasing: 4, 3, 2, 1. Next one should have 0. Gray circles are decreasing by 2: 8, 6, 4, 2. Next one should have 0. ANSWER: B

  13. 11 f g e h d i c ? A . A B. B C. J D. K E. L 2 interspersed sequences: First pattern F E D C: decreasing by one Second pattern: G H I: increasing by one  answer should follow this pattern, so.. ANSWER: C

  14. 12 y e w g u i ? A. S B. T C. R D. K E. L 2 interspersed sequences again. First one decrementing by 2, second incrementing by 2. Answer should follow first pattern. ANSWER: A

  15. 13 g ? d i j d k l d A. F B. E C. C D. H E. D Take out the d's and you get a simple alphabetical sequence! ANSWER: D

  16. 14 b c e g k ? q s A. L B. M C. N D. O E. P Prime numbers: B=2, C=3, E=5, G=7, K=11, ___, Q=17, S=19 Next one should be 13. Answer is… ANSWER: B

  17. 15 12113 ? 8 7 2 35 A. 5 B. 6 C. 4 D. 11 8 8 35 35 Alternating numbers are added. 1/8 + ½ = ___ (answer) 2/7 + 13/35 = 23/35 ANSWER: A

  18. 16 -5 3 -2 1 10 A. 3 B. -3 C. 4 D. -4 -5 x -2 = 10 3 x 1 = __ ANSWER: A

  19. 17 1 3 9 27 81 A. 223 B. 253 C. 243 D. 213 Each number is multiplied by 3 every time to get the next number in the pattern, starts with number 1: 1x3 = 3 3x3= 9 9x3= 27 27x3= 81 81x3= ______ ANSWER: C

  20. 18 1 5 17 53 161 A. 465 B. 485 C. 365 D. 385 Each number is multiplied by 3 then 2 is added every time to get the next number in the pattern, starts with number 1: 1x3 +2 = 5 5x3 +2 = 17 17x3 +2 = 53 53x3 +2 = 161 161x3 = 483+2= ____ ANSWER: B

  21. 19 1 5 14 30 55 A. 105 B. 95 C. 81 D. 91 Perfect squares are added to each number to get the next one: 1+4 = 5 5+9 = 14 14+16 = 30 30+25 = 55 55+ (next perfect square is 36)= ____ ANSWER: D

  22. Spatial problems

  23. 20 Use the map to answer the question: Officer McKay starts from location ‘O’ and proceeds as follows: left onto plaza way - heading North, second left - heading west, second left - heading south, first left - heading east. She proceeds for one block. What is her location? • .M • B. N • C. R • D. P ANSWER: B

  24. 21If you continue folding along the dotted line, which image would result? A B C D E ANSWER: E

  25. 22 Identify the figure when folded: A B C D ANSWER: A

  26. 23 Find the number of triangles in the given figure: • A. 8 B. 10 C. 12 D. 14 ANSWER: D

  27. 24 Find the minimum number of straight lines required to make the given figure: • A. 13 B. 15 C. 17 D. 19 ANSWER: A

  28. 25 Find out the alternative figure which contains figure (X) as its part. X 1 2 3 4 • A. 1 • B. 2 • C. 3 • D. 4 ANSWER: D

  29. 26 Find out the alternative figure which contains figure (X) as its part. X 1 2 3 4 • A. 1 • B. 2 • C. 3 • D. 4 ANSWER: A

  30. 27 Find out the alternative figure which contains figure (X) as its part. • A. 1 • B. 2 • C. 3 • D. 4 ANSWER: A

  31. 28 Find out the alternative figure which contains figure (X) as its part. • A. 1 • B. 2 • C. 3 • D. 4 ANSWER: C

  32. 29 Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square. • A. 1, 4, 5 C. 2, 4, 5 • B. 1, 2, 3 D. 2, 3, 4 ANSWER: C

  33. 30 Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square. • A. 1, 2, 3 C. 1, 3, 5 • B. 1, 3, 4 D. 3, 4, 5 ANSWER: C

  34. 31 Choose the alternative which closely resembles the water-image of the given combination. ANSWER: D

  35. 32 Choose the alternative which closely resembles the water-image of the given combination. ANSWER: B

  36. 33 Find out from the four alternatives how the pattern (X) would appear when the transparent sheet is folded at the dotted line. (X)AB CD ANSWER: D

  37. 34 Find out from the four alternatives how the pattern (X) would appear when the transparent sheet is folded at the dotted line. (X)AB CD ANSWER: B

  38. 35-38 For the next four numbers, you will see fictitious constellations of stars. Some stars are light; others are dark. All stars are the same size. So, when some stars appear to be large, they are in the foreground of the constellation; when others appear to be small, they are in the background. Note that further stars might be hidden behind those that you see. Look at the example below. The perspective from which you see the constellation on the left is assumed to be the view from the FRONT. If the constellation would rotate in space or if you were in a spaceship orbiting it, you could see it from other perspectives, relative to the front view. For instance, you might see it from the LEFT or from the RIGHT as indicated here:

  39. 35 • A. Left View C. Right View • B. Top View D. Bottom View ANSWER: A

  40. 36 • A. Left View C. Right View • B. Top View D. Bottom View ANSWER: B

  41. 37 • A. Left View C. Right View • B. Top View D. Bottom View ANSWER: C

  42. 38 • A. Left View C. Right View • B. Top View D. Bottom View ANSWER: D

  43. Logical reasoning

  44. 39 • Based on the 2 previous statements (statement i and ii), shade the letter of the only CORRECT conclusion. • All hamburgers are meals • Some cows are hamburgers M Conclusion: A. All meals are cows B. At least some meals are cows C. No cows are meals D. None of the meals are cows H C ANSWER: B

  45. 40 • Based on the 2 previous statements (statement i and ii), shade the letter of the only INCORRECT conclusion. • All cities have houses • All countries have cities Conclusion: A. All houses have countries B. All countries have houses C. Not all houses have countries D. No valid conclusion is possible H Ci C ANSWER: A

  46. 41 Based on the 2 previous statements (statement i and ii), shade the letter of the only CORRECT conclusion. • Some cars are four wheelers • All cars are three wheelers Conclusion: A. No three wheelers are four wheelers B. All four wheelers are three wheelers C. At least some three wheelers are four wheelers D. No valid conclusion is possible 4 3 C ANSWER: C

  47. 42 In a horse race: Hill Royal came in ahead of Trigger. Hill Royal finished after Black Beauty. Copenhagen beat Black Beauty but finished after Bucephalus. Where did Copenhagen finish? • First • Second • Third • Fourth • Fifth Bucephalus Copenhagen Black Beauty Hill Royal Trigger ANSWER: B

  48. 43 You take seven children to a toy shop to buy each a soft toy. The toy shop only has one of each type so you ask the children their preferences. You decide to give each child one of their preferred toys. Which animal will you give Jezebel? NAME: TOY PREFERENCES: James Wombat Panda Gorilla Kitten Rat Josh Panda Donkey Dog Jezebel Panda Donkey Kitten Dog Jamelia Panda Donkey Dog Janine Wombat Gorilla Donkey Kitten Rat Jasbeet Panda Dog Jason Wombat Gorilla Dog Rat Kitten • Panda • Donkey • Wombat • Dog • Kitten The trick here is to realize that you can ignore the children with more than four choices. Josh, Jamelia and Jasbeet all have only two or three choices and all want a panda, donkey or dog, so they must each get one of these.  Jezebel also wants a panda, donkey or dog, but she would also accept a kitten, so she must be given this, if each child is to be allowed a preferred animal. ANSWER: E

  49. 44 Debbie, Kimi and Michael have Ferraris. Michael also has a Reliant Robin. Jensen has a Mercedes and a Model T. Rubens also has a Mercedes. Debbie also has a BugattiVeyron. Rubens has just bought a Toyota Prius. Who has the fewest cars? • Debbie • Kimi • Michael • Jensen • Rubens Ferrari R.Robin Mercedes Model T. Bugatti Prius ANSWER: B

  50. 45 Jensen, Lewis and Mika need to be able to run 100m in under 12.5 seconds to qualify for a championship. Lewis and Mika run faster than Jensen. Jensen's best time for the 100m is 13.1 seconds. Which of the following MUST be true? • Only Jensen qualify • Jensen doesn’t qualify • L ewis and Mika both qualify • Jensen qualifies • No one qualifies ANSWER: B

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