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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 63 · 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 two numbers is 81 and their difference is 33. What is the smaller number?
  2. 2.The sum of two numbers is 32 and their difference is 12. What is the smaller number?
  3. 3.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  4. 4.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  5. 5.One number is 2 times another. Their difference is 39. What is the smaller number?
  6. 6.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  7. 7.The sum of two numbers is 78 and their difference is 56. What is the smaller number?
  8. 8.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?
  9. 9.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  11. 11.The sum of two numbers is 16 and their difference is 10. What is the larger number?
  12. 12.One number is 4 times another. Their difference is 39. What is the smaller number?
  13. 13.One number is 2 times another. Their difference is 12. What is the smaller number?
  14. 14.The sum of 4 consecutive odd numbers is 128. What is the largest of them?
  15. 15.One number is 2 times another. Their difference is 19. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  18. 18.The sum of two numbers is 121 and their difference is 43. What is the larger number?
  19. 19.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  20. 20.The sum of two numbers is 23 and their difference is 15. What is the smaller number?
  21. 21.The sum of two numbers is 28 and their difference is 4. What is the smaller number?
  22. 22.One number is 2 times another. Their difference is 23. What is the smaller number?
  23. 23.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 95. What is the smaller number?
  25. 25.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  26. 26.The sum of two numbers is 120 and their difference is 78. What is the smaller number?
  27. 27.The sum of two numbers is 29 and their difference is 25. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  29. 29.One number is 6 times another. Their difference is 45. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  32. 32.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  34. 34.The sum of two numbers is 31 and their difference is 27. What is the larger number?
  35. 35.The sum of two numbers is 27 and their difference is 17. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 150. What is the largest of them?
  38. 38.The sum of 3 consecutive numbers is 63. What is the largest of them?
  39. 39.The sum of 3 consecutive numbers is 120. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 200. What is the smallest of them?

Answer key

  1. 24
  2. 10
  3. 70
  4. 10
  5. 39
  6. 26
  7. 11
  8. 89
  9. 70
  10. 52
  11. 13
  12. 13
  13. 12
  14. 35
  15. 19
  16. 9
  17. 48
  18. 82
  19. 79
  20. 4
  21. 12
  22. 23
  23. 26
  24. 19
  25. 16
  26. 21
  27. 2
  28. 24
  29. 9
  30. 34
  31. 57
  32. 19
  33. 20
  34. 29
  35. 5
  36. 26
  37. 32
  38. 22
  39. 41
  40. 38

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