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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 942 · 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 odd numbers is 39. What is the smallest of them?
  2. 2.The sum of two numbers is 94 and their difference is 36. What is the larger number?
  3. 3.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  4. 4.The sum of 3 consecutive numbers is 72. What is the largest of them?
  5. 5.The sum of 4 consecutive odd numbers is 120. What is the largest of them?
  6. 6.The sum of two numbers is 45 and their difference is 23. What is the smaller number?
  7. 7.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 24. What is the largest of them?
  9. 9.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  10. 10.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?
  11. 11.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  12. 12.The sum of two numbers is 15 and their difference is 11. What is the larger number?
  13. 13.One number is 2 times another. Their difference is 39. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 82. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  16. 16.One number is 4 times another. Their difference is 36. What is the smaller number?
  17. 17.One number is 3 times another. Their difference is 22. What is the smaller number?
  18. 18.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  19. 19.One number is 4 times another. Their difference is 99. What is the smaller number?
  20. 20.The sum of 3 consecutive even numbers is 144. What is the largest of them?
  21. 21.The sum of 4 consecutive numbers is 34. What is the largest of them?
  22. 22.The sum of two numbers is 54 and their difference is 2. What is the smaller number?
  23. 23.The sum of two numbers is 18 and their difference is 4. What is the larger number?
  24. 24.The sum of two numbers is 132 and their difference is 20. What is the larger number?
  25. 25.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 39. What is the smallest of them?
  27. 27.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  28. 28.One number is 4 times another. Their difference is 57. What is the smaller number?
  29. 29.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 305. What is the largest of them?
  31. 31.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?
  32. 32.The sum of two numbers is 51 and their difference is 43. What is the smaller number?
  33. 33.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  34. 34.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  35. 35.The sum of two numbers is 14 and their difference is 10. What is the larger number?
  36. 36.One number is 5 times another. Their difference is 32. What is the smaller number?
  37. 37.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  38. 38.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  39. 39.The sum of two numbers is 113 and their difference is 29. What is the larger number?
  40. 40.The sum of 4 consecutive even numbers is 276. What is the smallest of them?

Answer key

  1. 11
  2. 65
  3. 57
  4. 25
  5. 33
  6. 11
  7. 42
  8. 9
  9. 58
  10. 78
  11. 27
  12. 13
  13. 39
  14. 22
  15. 6
  16. 12
  17. 11
  18. 13
  19. 33
  20. 50
  21. 10
  22. 26
  23. 11
  24. 76
  25. 55
  26. 12
  27. 40
  28. 19
  29. 33
  30. 63
  31. 56
  32. 4
  33. 16
  34. 20
  35. 12
  36. 8
  37. 57
  38. 78
  39. 71
  40. 66

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