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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 71 · 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 3 times another. Their difference is 6. What is the smaller number?
  2. 2.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  3. 3.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?
  4. 4.The sum of two numbers is 32 and their difference is 2. What is the smaller number?
  5. 5.The sum of 4 consecutive numbers is 30. What is the largest of them?
  6. 6.One number is 2 times another. Their difference is 31. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 238. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  9. 9.The sum of 3 consecutive numbers is 36. What is the largest of them?
  10. 10.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  11. 11.One number is 5 times another. Their difference is 124. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  13. 13.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  14. 14.The sum of 4 consecutive even numbers is 300. What is the largest of them?
  15. 15.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  17. 17.The sum of two numbers is 163 and their difference is 21. What is the smaller number?
  18. 18.The sum of two numbers is 98 and their difference is 52. What is the larger number?
  19. 19.The sum of 4 consecutive numbers is 58. What is the largest of them?
  20. 20.One number is 4 times another. Their difference is 84. What is the smaller number?
  21. 21.One number is 3 times another. Their difference is 30. What is the smaller number?
  22. 22.The sum of 3 consecutive numbers is 117. What is the largest of them?
  23. 23.One number is 4 times another. Their difference is 9. What is the smaller number?
  24. 24.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?
  25. 25.The sum of 3 consecutive odd numbers is 207. What is the largest of them?
  26. 26.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  27. 27.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  28. 28.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?
  29. 29.The sum of two numbers is 41 and their difference is 13. What is the larger number?
  30. 30.The sum of two numbers is 86 and their difference is 10. What is the larger number?
  31. 31.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  32. 32.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  33. 33.One number is 4 times another. Their difference is 63. What is the smaller number?
  34. 34.The sum of two numbers is 143 and their difference is 33. What is the smaller number?
  35. 35.The sum of 3 consecutive numbers is 150. What is the largest of them?
  36. 36.The sum of two numbers is 39 and their difference is 27. What is the larger number?
  37. 37.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?
  38. 38.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?
  39. 39.One number is 3 times another. Their difference is 74. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 129. What is the largest of them?

Answer key

  1. 3
  2. 38
  3. 69
  4. 15
  5. 9
  6. 31
  7. 61
  8. 37
  9. 13
  10. 47
  11. 31
  12. 25
  13. 30
  14. 78
  15. 67
  16. 23
  17. 71
  18. 75
  19. 16
  20. 28
  21. 15
  22. 40
  23. 3
  24. 89
  25. 71
  26. 35
  27. 66
  28. 45
  29. 27
  30. 48
  31. 62
  32. 11
  33. 21
  34. 55
  35. 51
  36. 33
  37. 18
  38. 79
  39. 37
  40. 45

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