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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 835 · 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 numbers is 105. What is the largest of them?
  2. 2.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  3. 3.One number is 2 times another. Their difference is 25. What is the smaller number?
  4. 4.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?
  5. 5.One number is 4 times another. Their difference is 21. What is the smaller number?
  6. 6.One number is 6 times another. Their difference is 160. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 42. What is the largest of them?
  8. 8.The sum of two numbers is 54 and their difference is 42. What is the smaller number?
  9. 9.The sum of two numbers is 129 and their difference is 13. What is the larger number?
  10. 10.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  11. 11.The sum of 4 consecutive numbers is 90. What is the largest of them?
  12. 12.The sum of two numbers is 58 and their difference is 16. What is the larger number?
  13. 13.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  14. 14.One number is 5 times another. Their difference is 12. What is the smaller number?
  15. 15.One number is 3 times another. Their difference is 10. What is the smaller number?
  16. 16.The sum of two numbers is 118 and their difference is 68. What is the smaller number?
  17. 17.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  18. 18.One number is 2 times another. Their difference is 37. What is the smaller number?
  19. 19.One number is 4 times another. Their difference is 39. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  21. 21.One number is 6 times another. Their difference is 190. What is the smaller number?
  22. 22.The sum of two numbers is 81 and their difference is 63. What is the smaller number?
  23. 23.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  24. 24.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?
  25. 25.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  26. 26.The sum of 5 consecutive numbers is 190. What is the largest of them?
  27. 27.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?
  28. 28.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 94. What is the largest of them?
  30. 30.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  31. 31.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  32. 32.One number is 6 times another. Their difference is 150. What is the smaller number?
  33. 33.The sum of 3 consecutive numbers is 51. What is the smallest of them?
  34. 34.The sum of two numbers is 112 and their difference is 16. What is the smaller number?
  35. 35.The sum of two numbers is 101 and their difference is 7. What is the larger number?
  36. 36.The sum of 4 consecutive even numbers is 92. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of two numbers is 108 and their difference is 52. What is the smaller number?

Answer key

  1. 36
  2. 17
  3. 25
  4. 78
  5. 7
  6. 32
  7. 15
  8. 6
  9. 71
  10. 14
  11. 24
  12. 37
  13. 49
  14. 3
  15. 5
  16. 25
  17. 70
  18. 37
  19. 13
  20. 8
  21. 38
  22. 9
  23. 44
  24. 69
  25. 46
  26. 40
  27. 89
  28. 23
  29. 25
  30. 73
  31. 68
  32. 30
  33. 16
  34. 48
  35. 54
  36. 20
  37. 57
  38. 12
  39. 36
  40. 28

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