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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 68 · 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 144. What is the smallest of them?
  2. 2.The sum of 5 consecutive numbers is 135. What is the largest of them?
  3. 3.One number is 3 times another. Their difference is 54. What is the smaller number?
  4. 4.The sum of two numbers is 73 and their difference is 13. What is the larger number?
  5. 5.One number is 5 times another. Their difference is 68. What is the smaller number?
  6. 6.The sum of 3 consecutive odd numbers is 123. What is the smallest of them?
  7. 7.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?
  8. 8.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  9. 9.One number is 4 times another. Their difference is 24. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  11. 11.One number is 2 times another. Their difference is 17. What is the smaller number?
  12. 12.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  13. 13.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  14. 14.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?
  15. 15.The sum of two numbers is 29 and their difference is 9. What is the larger number?
  16. 16.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  18. 18.One number is 2 times another. Their difference is 14. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  20. 20.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  21. 21.The sum of 4 consecutive numbers is 158. What is the largest of them?
  22. 22.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?
  23. 23.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?
  24. 24.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 185. What is the largest of them?
  26. 26.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?
  27. 27.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?
  28. 28.The sum of two numbers is 119 and their difference is 11. What is the larger number?
  29. 29.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  30. 30.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?
  31. 31.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of 5 consecutive numbers is 120. What is the largest of them?
  34. 34.One number is 2 times another. Their difference is 15. What is the smaller number?
  35. 35.The sum of two numbers is 36 and their difference is 12. What is the smaller number?
  36. 36.The sum of 3 consecutive numbers is 174. What is the largest of them?
  37. 37.One number is 2 times another. Their difference is 29. What is the smaller number?
  38. 38.The sum of two numbers is 170 and their difference is 20. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 32. What is the smaller number?
  40. 40.The sum of two numbers is 147 and their difference is 21. What is the larger number?

Answer key

  1. 46
  2. 29
  3. 27
  4. 43
  5. 17
  6. 39
  7. 14
  8. 58
  9. 8
  10. 72
  11. 17
  12. 30
  13. 21
  14. 34
  15. 19
  16. 28
  17. 12
  18. 14
  19. 45
  20. 17
  21. 41
  22. 26
  23. 89
  24. 11
  25. 39
  26. 78
  27. 28
  28. 65
  29. 41
  30. 57
  31. 18
  32. 13
  33. 26
  34. 15
  35. 12
  36. 59
  37. 29
  38. 75
  39. 8
  40. 84

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