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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 714 · 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 4 consecutive numbers is 142. What is the largest of them?
  2. 2.One number is 5 times another. Their difference is 40. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  4. 4.The sum of two numbers is 107 and their difference is 59. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  6. 6.One number is 4 times another. Their difference is 117. What is the smaller number?
  7. 7.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?
  8. 8.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  9. 9.One number is 5 times another. Their difference is 84. What is the smaller number?
  10. 10.The sum of two numbers is 35 and their difference is 31. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  12. 12.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  13. 13.The sum of 4 consecutive numbers is 38. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  15. 15.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 122. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 150. What is the smallest of them?
  18. 18.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  19. 19.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  20. 20.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 78. What is the largest of them?
  22. 22.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  23. 23.The sum of two numbers is 63 and their difference is 29. What is the smaller number?
  24. 24.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  25. 25.The sum of two numbers is 26 and their difference is 6. What is the larger number?
  26. 26.The sum of two numbers is 39 and their difference is 15. What is the larger number?
  27. 27.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  28. 28.The sum of two numbers is 75 and their difference is 47. What is the larger number?
  29. 29.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  30. 30.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  33. 33.One number is 3 times another. Their difference is 18. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  35. 35.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?
  36. 36.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  38. 38.One number is 6 times another. Their difference is 70. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 72. What is the smaller number?
  40. 40.One number is 3 times another. Their difference is 8. What is the smaller number?

Answer key

  1. 37
  2. 10
  3. 16
  4. 24
  5. 56
  6. 39
  7. 89
  8. 68
  9. 21
  10. 2
  11. 68
  12. 37
  13. 11
  14. 37
  15. 60
  16. 29
  17. 48
  18. 27
  19. 39
  20. 35
  21. 27
  22. 63
  23. 17
  24. 12
  25. 16
  26. 27
  27. 39
  28. 61
  29. 67
  30. 10
  31. 67
  32. 37
  33. 9
  34. 55
  35. 29
  36. 30
  37. 19
  38. 14
  39. 18
  40. 4

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