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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 490 · 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 122. What is the largest of them?
  2. 2.One number is 2 times another. Their difference is 31. What is the smaller number?
  3. 3.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?
  4. 4.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  5. 5.The sum of two numbers is 60 and their difference is 6. What is the larger number?
  6. 6.The sum of 3 consecutive numbers is 51. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 216. What is the smallest of them?
  8. 8.The sum of two numbers is 184 and their difference is 2. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 246. What is the largest of them?
  10. 10.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  11. 11.The sum of 5 consecutive numbers is 130. What is the largest of them?
  12. 12.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  13. 13.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  14. 14.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  15. 15.The sum of 4 consecutive odd numbers is 152. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 125. What is the smaller number?
  17. 17.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?
  18. 18.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  19. 19.The sum of two numbers is 58 and their difference is 18. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  21. 21.The sum of two numbers is 91 and their difference is 29. What is the larger number?
  22. 22.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  23. 23.One number is 3 times another. Their difference is 26. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 147. What is the smallest of them?
  27. 27.One number is 5 times another. Their difference is 140. What is the smaller number?
  28. 28.The sum of two numbers is 26 and their difference is 4. What is the larger number?
  29. 29.One number is 2 times another. Their difference is 4. What is the smaller number?
  30. 30.One number is 3 times another. Their difference is 68. What is the smaller number?
  31. 31.The sum of 4 consecutive even numbers is 292. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 237. What is the largest of them?
  34. 34.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  35. 35.One number is 3 times another. Their difference is 32. What is the smaller number?
  36. 36.The sum of 3 consecutive odd numbers is 171. What is the largest of them?
  37. 37.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of two numbers is 82 and their difference is 2. What is the smaller number?
  40. 40.The sum of 4 consecutive even numbers is 156. What is the smallest of them?

Answer key

  1. 32
  2. 31
  3. 79
  4. 6
  5. 33
  6. 18
  7. 70
  8. 91
  9. 63
  10. 45
  11. 28
  12. 28
  13. 86
  14. 64
  15. 35
  16. 25
  17. 67
  18. 7
  19. 20
  20. 37
  21. 60
  22. 26
  23. 13
  24. 44
  25. 41
  26. 48
  27. 35
  28. 15
  29. 4
  30. 34
  31. 70
  32. 55
  33. 81
  34. 40
  35. 16
  36. 59
  37. 26
  38. 15
  39. 40
  40. 36

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