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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 788 · 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 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?
  2. 2.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  3. 3.One number is 5 times another. Their difference is 76. What is the smaller number?
  4. 4.The sum of two numbers is 130 and their difference is 68. What is the larger number?
  5. 5.The sum of two numbers is 113 and their difference is 7. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 180. What is the smallest of them?
  8. 8.One number is 6 times another. Their difference is 100. What is the smaller number?
  9. 9.The sum of two numbers is 42 and their difference is 26. What is the larger number?
  10. 10.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of 3 consecutive even numbers is 138. What is the smallest of them?
  13. 13.The sum of two numbers is 114 and their difference is 4. What is the smaller number?
  14. 14.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?
  15. 15.One number is 4 times another. Their difference is 66. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 58. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 42. What is the largest of them?
  20. 20.One number is 6 times another. Their difference is 160. What is the smaller number?
  21. 21.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  22. 22.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  23. 23.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  26. 26.The sum of 4 consecutive even numbers is 316. What is the smallest of them?
  27. 27.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  28. 28.The sum of 3 consecutive numbers is 114. What is the largest of them?
  29. 29.The sum of two numbers is 130 and their difference is 46. What is the smaller number?
  30. 30.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  31. 31.One number is 2 times another. Their difference is 34. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 90. What is the largest of them?
  33. 33.One number is 3 times another. Their difference is 26. What is the smaller number?
  34. 34.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?
  35. 35.The sum of two numbers is 21 and their difference is 15. What is the smaller number?
  36. 36.One number is 4 times another. Their difference is 72. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  38. 38.One number is 2 times another. Their difference is 13. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 40. What is the smaller number?
  40. 40.The sum of two numbers is 45 and their difference is 39. What is the smaller number?

Answer key

  1. 89
  2. 50
  3. 19
  4. 99
  5. 53
  6. 21
  7. 59
  8. 20
  9. 34
  10. 13
  11. 12
  12. 44
  13. 55
  14. 59
  15. 22
  16. 39
  17. 16
  18. 46
  19. 15
  20. 32
  21. 78
  22. 12
  23. 24
  24. 35
  25. 41
  26. 76
  27. 31
  28. 39
  29. 42
  30. 6
  31. 34
  32. 32
  33. 13
  34. 69
  35. 3
  36. 24
  37. 10
  38. 13
  39. 10
  40. 3

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