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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 387 · 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.One number is 2 times another. Their difference is 20. What is the smaller number?
  2. 2.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?
  3. 3.The sum of two numbers is 75 and their difference is 69. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  5. 5.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  6. 6.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  7. 7.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  8. 8.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  9. 9.The sum of two numbers is 97 and their difference is 5. What is the smaller number?
  10. 10.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  11. 11.One number is 3 times another. Their difference is 52. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  13. 13.The sum of two numbers is 94 and their difference is 38. What is the larger number?
  14. 14.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  15. 15.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  17. 17.One number is 5 times another. Their difference is 28. What is the smaller number?
  18. 18.The sum of two numbers is 105 and their difference is 15. What is the larger number?
  19. 19.The sum of 5 consecutive numbers is 265. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  21. 21.The sum of two numbers is 68 and their difference is 58. What is the larger number?
  22. 22.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  23. 23.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  24. 24.One number is 5 times another. Their difference is 16. What is the smaller number?
  25. 25.One number is 3 times another. Their difference is 78. What is the smaller number?
  26. 26.The sum of 4 consecutive even numbers is 68. What is the smallest of them?
  27. 27.The sum of 3 consecutive numbers is 48. What is the largest of them?
  28. 28.One number is 3 times another. Their difference is 48. What is the smaller number?
  29. 29.One number is 5 times another. Their difference is 32. What is the smaller number?
  30. 30.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  31. 31.One number is 3 times another. Their difference is 28. What is the smaller number?
  32. 32.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  33. 33.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  34. 34.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?
  35. 35.One number is 3 times another. Their difference is 12. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  38. 38.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  39. 39.One number is 5 times another. Their difference is 64. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 100. What is the smallest of them?

Answer key

  1. 20
  2. 35
  3. 3
  4. 52
  5. 24
  6. 67
  7. 27
  8. 19
  9. 46
  10. 60
  11. 26
  12. 32
  13. 66
  14. 15
  15. 45
  16. 8
  17. 7
  18. 60
  19. 51
  20. 18
  21. 63
  22. 28
  23. 11
  24. 4
  25. 39
  26. 14
  27. 17
  28. 24
  29. 8
  30. 37
  31. 14
  32. 11
  33. 26
  34. 49
  35. 6
  36. 31
  37. 65
  38. 59
  39. 16
  40. 18

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