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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 572 · 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 even numbers is 60. What is the largest of them?
  2. 2.The sum of 4 consecutive numbers is 126. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 168. What is the smallest of them?
  4. 4.The sum of two numbers is 136 and their difference is 6. What is the larger number?
  5. 5.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  6. 6.The sum of two numbers is 31 and their difference is 21. What is the smaller number?
  7. 7.The sum of 3 consecutive numbers is 51. What is the largest of them?
  8. 8.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 82. What is the largest of them?
  10. 10.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of two numbers is 126 and their difference is 14. What is the larger number?
  13. 13.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  14. 14.One number is 6 times another. Their difference is 60. What is the smaller number?
  15. 15.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  16. 16.The sum of 3 consecutive numbers is 90. What is the smallest of them?
  17. 17.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  18. 18.The sum of two numbers is 40 and their difference is 24. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  20. 20.The sum of two numbers is 179 and their difference is 17. What is the smaller number?
  21. 21.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  22. 22.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?
  23. 23.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?
  24. 24.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  25. 25.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?
  26. 26.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  28. 28.One number is 6 times another. Their difference is 85. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  30. 30.The sum of two numbers is 104 and their difference is 58. What is the larger number?
  31. 31.One number is 6 times another. Their difference is 20. What is the smaller number?
  32. 32.The sum of 3 consecutive numbers is 39. What is the largest of them?
  33. 33.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?
  34. 34.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  35. 35.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  37. 37.The sum of two numbers is 26 and their difference is 4. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  39. 39.The sum of 3 consecutive numbers is 174. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 75. What is the largest of them?

Answer key

  1. 22
  2. 33
  3. 55
  4. 71
  5. 39
  6. 5
  7. 18
  8. 50
  9. 22
  10. 37
  11. 89
  12. 70
  13. 6
  14. 12
  15. 49
  16. 29
  17. 47
  18. 8
  19. 28
  20. 81
  21. 29
  22. 69
  23. 46
  24. 21
  25. 78
  26. 49
  27. 38
  28. 17
  29. 18
  30. 81
  31. 4
  32. 14
  33. 14
  34. 21
  35. 56
  36. 14
  37. 11
  38. 59
  39. 59
  40. 26

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