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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 34 · 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 132. What is the smallest of them?
  2. 2.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 54. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of two numbers is 41 and their difference is 7. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  7. 7.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?
  8. 8.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 21. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 123. What is the largest of them?
  11. 11.One number is 2 times another. Their difference is 9. What is the smaller number?
  12. 12.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?
  13. 13.One number is 5 times another. Their difference is 76. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  15. 15.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  16. 16.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  17. 17.The sum of two numbers is 81 and their difference is 61. What is the larger number?
  18. 18.The sum of 4 consecutive numbers is 134. What is the largest of them?
  19. 19.One number is 3 times another. Their difference is 6. What is the smaller number?
  20. 20.The sum of two numbers is 39 and their difference is 1. What is the larger number?
  21. 21.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  22. 22.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  23. 23.One number is 3 times another. Their difference is 52. What is the smaller number?
  24. 24.One number is 3 times another. Their difference is 62. What is the smaller number?
  25. 25.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?
  26. 26.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?
  27. 27.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  28. 28.The sum of two numbers is 19 and their difference is 5. What is the larger number?
  29. 29.The sum of two numbers is 24 and their difference is 20. What is the larger number?
  30. 30.The sum of 5 consecutive numbers is 200. What is the largest of them?
  31. 31.One number is 6 times another. Their difference is 155. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 140. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  34. 34.The sum of 4 consecutive even numbers is 84. What is the largest of them?
  35. 35.The sum of 3 consecutive numbers is 24. What is the largest of them?
  36. 36.One number is 6 times another. Their difference is 195. What is the smaller number?
  37. 37.The sum of two numbers is 160 and their difference is 24. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  39. 39.The sum of 4 consecutive numbers is 162. What is the largest of them?
  40. 40.The sum of two numbers is 186 and their difference is 6. What is the smaller number?

Answer key

  1. 42
  2. 45
  3. 16
  4. 69
  5. 17
  6. 67
  7. 89
  8. 28
  9. 8
  10. 42
  11. 9
  12. 45
  13. 19
  14. 25
  15. 30
  16. 13
  17. 71
  18. 35
  19. 3
  20. 20
  21. 47
  22. 13
  23. 26
  24. 31
  25. 78
  26. 35
  27. 84
  28. 12
  29. 22
  30. 42
  31. 31
  32. 30
  33. 24
  34. 24
  35. 9
  36. 39
  37. 68
  38. 51
  39. 42
  40. 90

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