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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 246 · 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 87 and their difference is 17. What is the smaller number?
  2. 2.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  4. 4.The sum of 4 consecutive odd numbers is 312. What is the smallest of them?
  5. 5.The sum of 3 consecutive odd numbers is 249. What is the smallest of them?
  6. 6.One number is 5 times another. Their difference is 124. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 182. What is the smallest of them?
  8. 8.The sum of 3 consecutive even numbers is 192. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  10. 10.The sum of two numbers is 52 and their difference is 8. What is the larger number?
  11. 11.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?
  12. 12.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  13. 13.The sum of 3 consecutive numbers is 96. What is the largest of them?
  14. 14.One number is 3 times another. Their difference is 66. What is the smaller number?
  15. 15.The sum of two numbers is 126 and their difference is 44. What is the smaller number?
  16. 16.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  18. 18.The sum of two numbers is 96 and their difference is 14. What is the larger number?
  19. 19.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  20. 20.The sum of two numbers is 25 and their difference is 1. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 140. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 182. What is the largest of them?
  24. 24.One number is 4 times another. Their difference is 45. What is the smaller number?
  25. 25.The sum of two numbers is 128 and their difference is 46. What is the smaller number?
  26. 26.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  27. 27.One number is 5 times another. Their difference is 136. What is the smaller number?
  28. 28.One number is 6 times another. Their difference is 25. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  30. 30.The sum of two numbers is 87 and their difference is 23. What is the smaller number?
  31. 31.One number is 2 times another. Their difference is 30. 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 3 consecutive even numbers is 78. What is the largest of them?
  34. 34.One number is 5 times another. Their difference is 48. What is the smaller number?
  35. 35.The sum of two numbers is 125 and their difference is 21. What is the larger number?
  36. 36.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  37. 37.One number is 4 times another. Their difference is 21. What is the smaller number?
  38. 38.The sum of two numbers is 17 and their difference is 7. What is the smaller number?
  39. 39.The sum of two numbers is 48 and their difference is 30. What is the smaller number?
  40. 40.The sum of 4 consecutive even numbers is 228. What is the smallest of them?

Answer key

  1. 35
  2. 57
  3. 22
  4. 75
  5. 81
  6. 31
  7. 44
  8. 62
  9. 17
  10. 30
  11. 89
  12. 15
  13. 33
  14. 33
  15. 41
  16. 12
  17. 15
  18. 55
  19. 61
  20. 12
  21. 30
  22. 49
  23. 47
  24. 15
  25. 41
  26. 48
  27. 34
  28. 5
  29. 44
  30. 32
  31. 30
  32. 8
  33. 28
  34. 12
  35. 73
  36. 24
  37. 7
  38. 5
  39. 9
  40. 54

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