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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 302 · 40 questions
TalentJR

The method (Use the structure): n consecutive numbers with sum S: the middle (average) is S ÷ n. From sum and difference: larger = (sum + difference) ÷ 2, smaller = (sum − difference) ÷ 2. Swapping the digits changes the number by 9 × (difference of the digits). “k times another, difference D”: smaller = D ÷ (k − 1).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  2. 2.The sum of 4 consecutive numbers is 190. What is the largest of them?
  3. 3.The sum of two numbers is 18 and their difference is 14. What is the larger number?
  4. 4.The sum of 3 consecutive numbers is 69. What is the largest of them?
  5. 5.One number is 5 times another. Their difference is 56. What is the smaller number?
  6. 6.The sum of two numbers is 84 and their difference is 58. What is the larger number?
  7. 7.The sum of two numbers is 79 and their difference is 47. What is the larger number?
  8. 8.One number is 4 times another. Their difference is 102. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  10. 10.One number is 3 times another. Their difference is 66. What is the smaller number?
  11. 11.The sum of two numbers is 34 and their difference is 24. What is the larger number?
  12. 12.One number is 3 times another. Their difference is 20. What is the smaller number?
  13. 13.The sum of two numbers is 84 and their difference is 72. What is the smaller number?
  14. 14.The sum of two numbers is 93 and their difference is 75. What is the larger number?
  15. 15.The sum of 4 consecutive numbers is 198. What is the largest of them?
  16. 16.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  17. 17.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  18. 18.One number is 4 times another. Their difference is 27. What is the smaller number?
  19. 19.One number is 3 times another. Their difference is 76. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 17. When the digits swap places, the number goes up by 9. What is the number?
  21. 21.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  22. 22.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  24. 24.One number is 3 times another. Their difference is 70. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 98. What is the largest of them?
  26. 26.One number is 5 times another. Their difference is 148. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  28. 28.The sum of 4 consecutive odd numbers is 264. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 135. What is the largest of them?
  30. 30.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  31. 31.One number is 5 times another. Their difference is 44. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 144. What is the largest of them?
  33. 33.One number is 3 times another. Their difference is 42. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 138. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  36. 36.The sum of two numbers is 19 and their difference is 11. What is the smaller number?
  37. 37.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  38. 38.One number is 5 times another. Their difference is 12. What is the smaller number?
  39. 39.The sum of 3 consecutive numbers is 108. What is the largest of them?
  40. 40.One number is 5 times another. Their difference is 92. What is the smaller number?

Answer key

  1. 26
  2. 49
  3. 16
  4. 24
  5. 14
  6. 71
  7. 63
  8. 34
  9. 10
  10. 33
  11. 29
  12. 10
  13. 6
  14. 84
  15. 51
  16. 35
  17. 39
  18. 9
  19. 38
  20. 89
  21. 78
  22. 47
  23. 35
  24. 35
  25. 26
  26. 37
  27. 50
  28. 69
  29. 46
  30. 69
  31. 11
  32. 49
  33. 21
  34. 47
  35. 13
  36. 4
  37. 29
  38. 3
  39. 37
  40. 23

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