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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 1 · 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 two numbers is 23 and their difference is 15. What is the larger number?
  3. 3.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  4. 4.The sum of two numbers is 69 and their difference is 19. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  6. 6.One number is 2 times another. Their difference is 33. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.The sum of two numbers is 42 and their difference is 34. What is the larger number?
  9. 9.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 102. What is the largest of them?
  11. 11.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.The sum of two numbers is 49 and their difference is 11. What is the smaller number?
  13. 13.The sum of two numbers is 109 and their difference is 23. What is the larger number?
  14. 14.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  15. 15.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  16. 16.One number is 6 times another. Their difference is 100. What is the smaller number?
  17. 17.One number is 2 times another. Their difference is 12. What is the smaller number?
  18. 18.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?
  19. 19.The sum of 4 consecutive numbers is 202. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 132. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  22. 22.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  23. 23.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  24. 24.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 126. What is the largest of them?
  26. 26.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  27. 27.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  28. 28.The sum of two numbers is 82 and their difference is 44. What is the larger number?
  29. 29.One number is 3 times another. Their difference is 48. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 5 consecutive numbers is 45. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 52. What is the smallest of them?
  33. 33.One number is 3 times another. Their difference is 10. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 18. What is the smaller number?
  35. 35.One number is 3 times another. Their difference is 34. What is the smaller number?
  36. 36.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  37. 37.The sum of two numbers is 22 and their difference is 12. What is the smaller number?
  38. 38.The sum of two numbers is 39 and their difference is 29. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 90. What is the smallest of them?

Answer key

  1. 89
  2. 19
  3. 31
  4. 25
  5. 56
  6. 33
  7. 23
  8. 38
  9. 35
  10. 35
  11. 46
  12. 19
  13. 66
  14. 62
  15. 18
  16. 20
  17. 12
  18. 67
  19. 52
  20. 43
  21. 48
  22. 30
  23. 60
  24. 11
  25. 33
  26. 47
  27. 42
  28. 63
  29. 24
  30. 35
  31. 11
  32. 10
  33. 5
  34. 9
  35. 17
  36. 81
  37. 5
  38. 5
  39. 33
  40. 21

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