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Two worked examples show what is done to a number. Do the same to a third.
Question 1 of 12
21 is to 62, and 17 is to 50. What is 19 to?
Two examples are given so that the rule is certain. 21 became 62 and 17 became 50: in both, the first number has been multiplied by 3, then 1 taken away. One example alone would not be enough — 21 to 62 could just as easily be adding 41, but that does not work for 17. Doing the same to 19 gives 56. Check whether something small was added or taken away after the multiplying.
The answer is D. Two examples are given so that the rule is certain. 21 became 62 and 17 became 50: in both, the first number has been multiplied by 3, then 1 taken away. One example alone would not be enough — 21 to 62 could just as easily be adding 41, but that does not work for 17. Doing the same to 19 gives 56. Check whether something small was added or taken away after the multiplying.
28 is to 58, and 10 is to 22. What is 26 to?
Two examples are given so that the rule is certain. 28 became 58 and 10 became 22: in both, the first number has been doubled, then 2 added. One example alone would not be enough — 28 to 58 could just as easily be adding 30, but that does not work for 10. Doing the same to 26 gives 54. Say what happened to the first number out loud before you touch the second.
The answer is D. Two examples are given so that the rule is certain. 28 became 58 and 10 became 22: in both, the first number has been doubled, then 2 added. One example alone would not be enough — 28 to 58 could just as easily be adding 30, but that does not work for 10. Doing the same to 26 gives 54. Say what happened to the first number out loud before you touch the second.
8 is to 6, and 22 is to 13. What is 24 to?
Two examples are given so that the rule is certain. 8 became 6 and 22 became 13: in both, the first number has been halved, then 2 added. One example alone would not be enough — 8 to 6 could just as easily be adding -2, but that does not work for 22. Doing the same to 24 gives 14. Work out your answer before you look at the choices, so a near miss cannot tempt you.
The answer is B. Two examples are given so that the rule is certain. 8 became 6 and 22 became 13: in both, the first number has been halved, then 2 added. One example alone would not be enough — 8 to 6 could just as easily be adding -2, but that does not work for 22. Doing the same to 24 gives 14. Work out your answer before you look at the choices, so a near miss cannot tempt you.
8 is to 19, and 5 is to 13. What is 16 to?
Two examples are given so that the rule is certain. 8 became 19 and 5 became 13: in both, the first number has been doubled, then 3 added. One example alone would not be enough — 8 to 19 could just as easily be adding 11, but that does not work for 5. Doing the same to 16 gives 35. Check whether something small was added or taken away after the multiplying.
The answer is C. Two examples are given so that the rule is certain. 8 became 19 and 5 became 13: in both, the first number has been doubled, then 3 added. One example alone would not be enough — 8 to 19 could just as easily be adding 11, but that does not work for 5. Doing the same to 16 gives 35. Check whether something small was added or taken away after the multiplying.
12 is to 36, and 5 is to 15. What is 16 to?
Two examples are given so that the rule is certain. 12 became 36 and 5 became 15: in both, the first number has been multiplied by 3. One example alone would not be enough — 12 to 36 could just as easily be adding 24, but that does not work for 5. Doing the same to 16 gives 48. If doubling does not fit, try trebling, then halving.
The answer is A. Two examples are given so that the rule is certain. 12 became 36 and 5 became 15: in both, the first number has been multiplied by 3. One example alone would not be enough — 12 to 36 could just as easily be adding 24, but that does not work for 5. Doing the same to 16 gives 48. If doubling does not fit, try trebling, then halving.
23 is to 49, and 24 is to 51. What is 11 to?
Two examples are given so that the rule is certain. 23 became 49 and 24 became 51: in both, the first number has been doubled, then 3 added. One example alone would not be enough — 23 to 49 could just as easily be adding 26, but that does not work for 24. Doing the same to 11 gives 25. If doubling does not fit, try trebling, then halving.
The answer is C. Two examples are given so that the rule is certain. 23 became 49 and 24 became 51: in both, the first number has been doubled, then 3 added. One example alone would not be enough — 23 to 49 could just as easily be adding 26, but that does not work for 24. Doing the same to 11 gives 25. If doubling does not fit, try trebling, then halving.
9 is to 19, and 19 is to 39. What is 17 to?
Two examples are given so that the rule is certain. 9 became 19 and 19 became 39: in both, the first number has been doubled, then 1 added. One example alone would not be enough — 9 to 19 could just as easily be adding 10, but that does not work for 19. Doing the same to 17 gives 35. Check whether something small was added or taken away after the multiplying.
The answer is E. Two examples are given so that the rule is certain. 9 became 19 and 19 became 39: in both, the first number has been doubled, then 1 added. One example alone would not be enough — 9 to 19 could just as easily be adding 10, but that does not work for 19. Doing the same to 17 gives 35. Check whether something small was added or taken away after the multiplying.
20 is to 43, and 24 is to 51. What is 29 to?
Two examples are given so that the rule is certain. 20 became 43 and 24 became 51: in both, the first number has been doubled, then 3 added. One example alone would not be enough — 20 to 43 could just as easily be adding 23, but that does not work for 24. Doing the same to 29 gives 61. Say what happened to the first number out loud before you touch the second.
The answer is A. Two examples are given so that the rule is certain. 20 became 43 and 24 became 51: in both, the first number has been doubled, then 3 added. One example alone would not be enough — 20 to 43 could just as easily be adding 23, but that does not work for 24. Doing the same to 29 gives 61. Say what happened to the first number out loud before you touch the second.
20 is to 39, and 19 is to 37. What is 10 to?
Two examples are given so that the rule is certain. 20 became 39 and 19 became 37: in both, the first number has been doubled, then 1 taken away. One example alone would not be enough — 20 to 39 could just as easily be adding 19, but that does not work for 19. Doing the same to 10 gives 19. Work out your answer before you look at the choices, so a near miss cannot tempt you.
The answer is C. Two examples are given so that the rule is certain. 20 became 39 and 19 became 37: in both, the first number has been doubled, then 1 taken away. One example alone would not be enough — 20 to 39 could just as easily be adding 19, but that does not work for 19. Doing the same to 10 gives 19. Work out your answer before you look at the choices, so a near miss cannot tempt you.
23 is to 67, and 17 is to 49. What is 29 to?
Two examples are given so that the rule is certain. 23 became 67 and 17 became 49: in both, the first number has been multiplied by 3, then 2 taken away. One example alone would not be enough — 23 to 67 could just as easily be adding 44, but that does not work for 17. Doing the same to 29 gives 85. Check whether something small was added or taken away after the multiplying.
The answer is D. Two examples are given so that the rule is certain. 23 became 67 and 17 became 49: in both, the first number has been multiplied by 3, then 2 taken away. One example alone would not be enough — 23 to 67 could just as easily be adding 44, but that does not work for 17. Doing the same to 29 gives 85. Check whether something small was added or taken away after the multiplying.
7 is to 17, and 28 is to 59. What is 30 to?
Two examples are given so that the rule is certain. 7 became 17 and 28 became 59: in both, the first number has been doubled, then 3 added. One example alone would not be enough — 7 to 17 could just as easily be adding 10, but that does not work for 28. Doing the same to 30 gives 63. If doubling does not fit, try trebling, then halving.
The answer is C. Two examples are given so that the rule is certain. 7 became 17 and 28 became 59: in both, the first number has been doubled, then 3 added. One example alone would not be enough — 7 to 17 could just as easily be adding 10, but that does not work for 28. Doing the same to 30 gives 63. If doubling does not fit, try trebling, then halving.
4 is to 12, and 14 is to 42. What is 16 to?
Two examples are given so that the rule is certain. 4 became 12 and 14 became 42: in both, the first number has been multiplied by 3. One example alone would not be enough — 4 to 12 could just as easily be adding 8, but that does not work for 14. Doing the same to 16 gives 48. If doubling does not fit, try trebling, then halving.
The answer is B. Two examples are given so that the rule is certain. 4 became 12 and 14 became 42: in both, the first number has been multiplied by 3. One example alone would not be enough — 4 to 12 could just as easily be adding 8, but that does not work for 14. Doing the same to 16 gives 48. If doubling does not fit, try trebling, then halving.
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