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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 133 · 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 two numbers is 85 and their difference is 9. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  4. 4.The sum of two numbers is 42 and their difference is 10. What is the larger number?
  5. 5.The sum of 3 consecutive numbers is 93. What is the largest of them?
  6. 6.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  7. 7.The sum of two numbers is 15 and their difference is 7. What is the smaller number?
  8. 8.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?
  9. 9.One number is 5 times another. Their difference is 144. What is the smaller number?
  10. 10.The sum of two numbers is 23 and their difference is 3. What is the larger number?
  11. 11.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?
  12. 12.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?
  13. 13.The sum of two numbers is 30 and their difference is 14. What is the smaller number?
  14. 14.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  16. 16.The sum of 4 consecutive numbers is 46. What is the smallest of them?
  17. 17.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?
  18. 18.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 145. What is the largest of them?
  20. 20.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  21. 21.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?
  22. 22.The sum of two numbers is 74 and their difference is 28. What is the larger number?
  23. 23.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?
  24. 24.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of 3 consecutive numbers is 102. What is the largest of them?
  27. 27.The sum of 3 consecutive odd numbers is 171. 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 3 consecutive odd numbers is 27. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  31. 31.The sum of two numbers is 120 and their difference is 2. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 24. What is the smaller number?
  33. 33.The sum of two numbers is 96 and their difference is 54. What is the larger number?
  34. 34.One number is 4 times another. Their difference is 78. What is the smaller number?
  35. 35.One number is 2 times another. Their difference is 24. What is the smaller number?
  36. 36.One number is 5 times another. Their difference is 36. What is the smaller number?
  37. 37.The sum of two numbers is 42 and their difference is 16. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 32. What is the smaller number?
  39. 39.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?
  40. 40.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?

Answer key

  1. 38
  2. 13
  3. 46
  4. 26
  5. 32
  6. 36
  7. 4
  8. 59
  9. 36
  10. 13
  11. 47
  12. 57
  13. 8
  14. 19
  15. 5
  16. 10
  17. 56
  18. 83
  19. 31
  20. 74
  21. 67
  22. 51
  23. 69
  24. 20
  25. 68
  26. 35
  27. 55
  28. 45
  29. 7
  30. 77
  31. 59
  32. 8
  33. 75
  34. 26
  35. 24
  36. 9
  37. 13
  38. 8
  39. 25
  40. 79

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