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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 84 · 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 3 consecutive even numbers is 36. What is the largest of them?
  2. 2.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  3. 3.One number is 5 times another. Their difference is 104. What is the smaller number?
  4. 4.The sum of 4 consecutive numbers is 174. What is the largest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  7. 7.The sum of two numbers is 71 and their difference is 49. What is the smaller number?
  8. 8.The sum of two numbers is 145 and their difference is 49. What is the larger number?
  9. 9.The sum of 5 consecutive numbers is 245. What is the largest of them?
  10. 10.The sum of two numbers is 53 and their difference is 19. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 110. What is the smallest of them?
  12. 12.The sum of two numbers is 28 and their difference is 6. What is the larger number?
  13. 13.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  14. 14.The sum of 3 consecutive numbers is 180. What is the largest of them?
  15. 15.The sum of two numbers is 42 and their difference is 16. What is the smaller number?
  16. 16.The sum of two numbers is 73 and their difference is 31. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 216. What is the largest of them?
  18. 18.One number is 4 times another. Their difference is 48. What is the smaller number?
  19. 19.The sum of two numbers is 68 and their difference is 38. What is the larger number?
  20. 20.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  21. 21.The sum of two numbers is 55 and their difference is 31. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  24. 24.One number is 2 times another. Their difference is 28. What is the smaller number?
  25. 25.One number is 4 times another. Their difference is 12. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 132. What is the largest of them?
  27. 27.One number is 3 times another. Their difference is 60. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  29. 29.One number is 3 times another. Their difference is 34. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  31. 31.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  32. 32.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  33. 33.One number is 6 times another. Their difference is 145. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 226. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  36. 36.One number is 4 times another. Their difference is 63. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  38. 38.The sum of two numbers is 35 and their difference is 1. What is the smaller number?
  39. 39.One number is 6 times another. Their difference is 15. What is the smaller number?
  40. 40.The sum of 4 consecutive even numbers is 260. What is the smallest of them?

Answer key

  1. 14
  2. 43
  3. 26
  4. 45
  5. 78
  6. 19
  7. 11
  8. 97
  9. 51
  10. 17
  11. 20
  12. 17
  13. 9
  14. 61
  15. 13
  16. 21
  17. 74
  18. 16
  19. 53
  20. 16
  21. 12
  22. 89
  23. 31
  24. 28
  25. 4
  26. 36
  27. 30
  28. 17
  29. 17
  30. 12
  31. 36
  32. 17
  33. 29
  34. 55
  35. 24
  36. 21
  37. 33
  38. 17
  39. 3
  40. 62

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