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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 394 · 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 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?
  2. 2.The sum of 4 consecutive numbers is 30. What is the largest of them?
  3. 3.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  4. 4.The sum of two numbers is 58 and their difference is 28. What is the smaller number?
  5. 5.The sum of two numbers is 155 and their difference is 9. What is the larger number?
  6. 6.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  7. 7.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  8. 8.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 106. What is the largest of them?
  10. 10.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  11. 11.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  12. 12.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  13. 13.The sum of two numbers is 88 and their difference is 76. What is the larger number?
  14. 14.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  15. 15.One number is 4 times another. Their difference is 66. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  18. 18.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  20. 20.One number is 3 times another. Their difference is 18. What is the smaller number?
  21. 21.The sum of 4 consecutive numbers is 66. What is the largest of them?
  22. 22.One number is 5 times another. Their difference is 144. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 234. What is the largest of them?
  24. 24.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?
  25. 25.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  26. 26.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  27. 27.The sum of two numbers is 169 and their difference is 21. What is the larger number?
  28. 28.One number is 6 times another. Their difference is 145. What is the smaller number?
  29. 29.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  30. 30.One number is 5 times another. Their difference is 112. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  32. 32.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?
  33. 33.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?
  34. 34.The sum of two numbers is 21 and their difference is 9. What is the larger number?
  35. 35.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  36. 36.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 160. What is the smallest of them?
  38. 38.The sum of 5 consecutive numbers is 205. What is the largest of them?
  39. 39.The sum of 3 consecutive even numbers is 180. What is the smallest of them?
  40. 40.The sum of two numbers is 89 and their difference is 87. What is the smaller number?

Answer key

  1. 79
  2. 9
  3. 84
  4. 15
  5. 82
  6. 73
  7. 22
  8. 23
  9. 28
  10. 80
  11. 57
  12. 20
  13. 82
  14. 26
  15. 22
  16. 33
  17. 14
  18. 31
  19. 54
  20. 9
  21. 18
  22. 36
  23. 60
  24. 27
  25. 35
  26. 37
  27. 95
  28. 29
  29. 45
  30. 28
  31. 50
  32. 67
  33. 24
  34. 15
  35. 24
  36. 81
  37. 30
  38. 43
  39. 58
  40. 1

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