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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 204 · 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 102. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 154. What is the largest of them?
  3. 3.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?
  4. 4.The sum of 3 consecutive even numbers is 204. What is the largest of them?
  5. 5.The sum of 5 consecutive numbers is 130. What is the largest of them?
  6. 6.The sum of two numbers is 72 and their difference is 32. What is the larger number?
  7. 7.The sum of two numbers is 161 and their difference is 13. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  9. 9.The sum of two numbers is 147 and their difference is 35. What is the larger number?
  10. 10.One number is 6 times another. Their difference is 30. What is the smaller number?
  11. 11.One number is 4 times another. Their difference is 102. What is the smaller number?
  12. 12.One number is 2 times another. Their difference is 15. What is the smaller number?
  13. 13.One number is 4 times another. Their difference is 36. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  15. 15.The sum of 4 consecutive numbers is 238. What is the largest of them?
  16. 16.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?
  17. 17.One number is 4 times another. Their difference is 15. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 87. What is the largest of them?
  19. 19.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  20. 20.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?
  21. 21.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  22. 22.The sum of two numbers is 57 and their difference is 49. What is the smaller number?
  23. 23.The sum of two numbers is 78 and their difference is 72. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  25. 25.The sum of 3 consecutive numbers is 105. What is the largest of them?
  26. 26.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  27. 27.The sum of two numbers is 58 and their difference is 30. What is the larger number?
  28. 28.The sum of 4 consecutive even numbers is 260. What is the smallest of them?
  29. 29.The sum of 4 consecutive numbers is 186. What is the largest of them?
  30. 30.One number is 5 times another. Their difference is 120. What is the smaller number?
  31. 31.The sum of 4 consecutive numbers is 54. What is the largest of them?
  32. 32.The sum of two numbers is 81 and their difference is 13. What is the smaller number?
  33. 33.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  34. 34.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?
  35. 35.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  36. 36.One number is 2 times another. Their difference is 36. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 114. What is the smallest of them?
  38. 38.One number is 4 times another. Their difference is 84. What is the smaller number?
  39. 39.The sum of two numbers is 61 and their difference is 19. What is the smaller number?
  40. 40.One number is 6 times another. Their difference is 125. What is the smaller number?

Answer key

  1. 27
  2. 40
  3. 24
  4. 70
  5. 28
  6. 52
  7. 74
  8. 85
  9. 91
  10. 6
  11. 34
  12. 15
  13. 12
  14. 73
  15. 61
  16. 56
  17. 5
  18. 30
  19. 19
  20. 78
  21. 22
  22. 4
  23. 3
  24. 46
  25. 36
  26. 55
  27. 44
  28. 62
  29. 48
  30. 30
  31. 15
  32. 34
  33. 80
  34. 68
  35. 71
  36. 36
  37. 27
  38. 28
  39. 21
  40. 25

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