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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 187 · 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).

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  1. 1.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  2. 2.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?
  3. 3.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  4. 4.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  5. 5.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?
  6. 6.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  7. 7.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  8. 8.The sum of 3 consecutive odd numbers is 129. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  10. 10.The sum of two numbers is 21 and their difference is 3. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  12. 12.The sum of two numbers is 32 and their difference is 10. What is the larger number?
  13. 13.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?
  14. 14.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  15. 15.The sum of 4 consecutive odd numbers is 152. What is the largest of them?
  16. 16.One number is 6 times another. Their difference is 125. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 177. What is the largest of them?
  18. 18.The sum of two numbers is 89 and their difference is 15. What is the larger number?
  19. 19.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  20. 20.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  21. 21.The sum of 3 consecutive even numbers is 126. What is the smallest of them?
  22. 22.The sum of two numbers is 105 and their difference is 77. What is the larger number?
  23. 23.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  24. 24.The sum of 3 consecutive numbers is 108. What is the largest of them?
  25. 25.The sum of 4 consecutive numbers is 142. What is the smallest of them?
  26. 26.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  27. 27.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  28. 28.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  30. 30.The sum of two numbers is 40 and their difference is 16. What is the smaller number?
  31. 31.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?
  32. 32.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  33. 33.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  34. 34.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  36. 36.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?
  37. 37.One number is 6 times another. Their difference is 55. What is the smaller number?
  38. 38.The sum of two numbers is 110 and their difference is 64. What is the larger number?
  39. 39.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  40. 40.The sum of 5 consecutive numbers is 45. What is the smallest of them?

Answer key

  1. 25
  2. 46
  3. 40
  4. 69
  5. 35
  6. 82
  7. 34
  8. 41
  9. 48
  10. 9
  11. 73
  12. 21
  13. 68
  14. 55
  15. 41
  16. 25
  17. 60
  18. 52
  19. 36
  20. 8
  21. 40
  22. 91
  23. 29
  24. 37
  25. 34
  26. 6
  27. 43
  28. 77
  29. 24
  30. 12
  31. 79
  32. 11
  33. 46
  34. 31
  35. 49
  36. 78
  37. 11
  38. 87
  39. 57
  40. 7

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