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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 937 · 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 14. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of two numbers is 58 and their difference is 26. What is the smaller number?
  3. 3.The sum of two numbers is 55 and their difference is 25. What is the smaller number?
  4. 4.The sum of 4 consecutive odd numbers is 192. What is the largest of them?
  5. 5.One number is 3 times another. Their difference is 38. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 150. What is the largest of them?
  7. 7.The sum of 3 consecutive numbers is 48. What is the largest of them?
  8. 8.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  9. 9.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  10. 10.The sum of two numbers is 92 and their difference is 20. What is the larger number?
  11. 11.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  12. 12.The sum of two numbers is 17 and their difference is 15. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  15. 15.The sum of two numbers is 153 and their difference is 1. What is the larger number?
  16. 16.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  17. 17.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  18. 18.One number is 5 times another. Their difference is 120. What is the smaller number?
  19. 19.One number is 2 times another. Their difference is 13. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  22. 22.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?
  23. 23.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?
  24. 24.The sum of 3 consecutive odd numbers is 201. What is the smallest of them?
  25. 25.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  26. 26.The sum of two numbers is 92 and their difference is 38. What is the smaller number?
  27. 27.The sum of two numbers is 44 and their difference is 34. What is the smaller number?
  28. 28.The sum of two numbers is 54 and their difference is 38. What is the smaller number?
  29. 29.One number is 5 times another. Their difference is 112. What is the smaller number?
  30. 30.The sum of two numbers is 107 and their difference is 11. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 26. What is the largest of them?
  32. 32.The sum of two numbers is 37 and their difference is 17. What is the smaller number?
  33. 33.The sum of two numbers is 55 and their difference is 13. What is the smaller number?
  34. 34.The sum of 3 consecutive numbers is 69. What is the largest of them?
  35. 35.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?
  36. 36.One number is 4 times another. Their difference is 39. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  38. 38.The sum of two numbers is 73 and their difference is 39. What is the larger number?
  39. 39.One number is 4 times another. Their difference is 45. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?

Answer key

  1. 68
  2. 16
  3. 15
  4. 51
  5. 19
  6. 51
  7. 17
  8. 70
  9. 29
  10. 56
  11. 63
  12. 1
  13. 73
  14. 54
  15. 77
  16. 57
  17. 44
  18. 30
  19. 13
  20. 44
  21. 17
  22. 89
  23. 78
  24. 65
  25. 12
  26. 27
  27. 5
  28. 8
  29. 28
  30. 48
  31. 8
  32. 10
  33. 21
  34. 24
  35. 59
  36. 13
  37. 40
  38. 56
  39. 15
  40. 81

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