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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 611 · 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 3 consecutive odd numbers is 39. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 246. What is the largest of them?
  3. 3.The sum of two numbers is 55 and their difference is 15. What is the larger number?
  4. 4.One number is 4 times another. Their difference is 81. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  6. 6.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  7. 7.One number is 5 times another. Their difference is 20. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.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?
  10. 10.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  11. 11.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?
  12. 12.One number is 5 times another. Their difference is 84. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 165. What is the largest of them?
  14. 14.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  15. 15.The sum of two numbers is 157 and their difference is 37. What is the larger number?
  16. 16.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?
  17. 17.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  18. 18.The sum of 3 consecutive numbers is 81. What is the largest of them?
  19. 19.The sum of 5 consecutive numbers is 80. What is the largest of them?
  20. 20.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?
  21. 21.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  22. 22.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  23. 23.The sum of 3 consecutive numbers is 45. What is the largest of them?
  24. 24.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?
  25. 25.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  27. 27.The sum of two numbers is 36 and their difference is 2. What is the smaller number?
  28. 28.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?
  29. 29.The sum of 3 consecutive numbers is 102. What is the largest of them?
  30. 30.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?
  31. 31.One number is 6 times another. Their difference is 70. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 171. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  34. 34.One number is 6 times another. Their difference is 150. What is the smaller number?
  35. 35.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 105. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 158. What is the smallest of them?
  39. 39.The sum of two numbers is 82 and their difference is 46. What is the smaller number?
  40. 40.The sum of 3 consecutive even numbers is 84. What is the smallest of them?

Answer key

  1. 15
  2. 63
  3. 35
  4. 27
  5. 42
  6. 22
  7. 5
  8. 13
  9. 78
  10. 49
  11. 79
  12. 21
  13. 57
  14. 37
  15. 97
  16. 45
  17. 15
  18. 28
  19. 18
  20. 69
  21. 49
  22. 27
  23. 16
  24. 14
  25. 6
  26. 71
  27. 17
  28. 89
  29. 35
  30. 26
  31. 14
  32. 58
  33. 51
  34. 30
  35. 36
  36. 56
  37. 36
  38. 38
  39. 18
  40. 26

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