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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 135 · 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.One number is 6 times another. Their difference is 170. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  3. 3.One number is 4 times another. Their difference is 108. What is the smaller number?
  4. 4.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  5. 5.One number is 6 times another. Their difference is 195. What is the smaller number?
  6. 6.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive even numbers is 108. What is the smallest of them?
  9. 9.The sum of 3 consecutive even numbers is 96. What is the largest of them?
  10. 10.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  11. 11.The sum of 4 consecutive numbers is 198. What is the smallest of them?
  12. 12.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  13. 13.One number is 3 times another. Their difference is 76. What is the smaller number?
  14. 14.One number is 2 times another. Their difference is 23. What is the smaller number?
  15. 15.One number is 6 times another. Their difference is 25. What is the smaller number?
  16. 16.The sum of two numbers is 98 and their difference is 96. What is the smaller number?
  17. 17.One number is 5 times another. Their difference is 48. What is the smaller number?
  18. 18.One number is 2 times another. Their difference is 32. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 198. What is the largest of them?
  20. 20.The sum of 3 consecutive even numbers is 36. What is the largest of them?
  21. 21.The sum of 5 consecutive numbers is 80. What is the largest of them?
  22. 22.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  23. 23.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  24. 24.One number is 4 times another. Their difference is 120. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 24. What is the largest of them?
  26. 26.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?
  27. 27.The sum of 3 consecutive numbers is 123. What is the largest of them?
  28. 28.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?
  29. 29.The sum of two numbers is 103 and their difference is 1. What is the smaller number?
  30. 30.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  31. 31.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  32. 32.The sum of two numbers is 68 and their difference is 44. What is the larger number?
  33. 33.The sum of two numbers is 137 and their difference is 7. What is the smaller number?
  34. 34.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  36. 36.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?
  37. 37.The sum of two numbers is 111 and their difference is 45. What is the larger number?
  38. 38.The sum of 5 consecutive numbers is 225. What is the largest of them?
  39. 39.One number is 5 times another. Their difference is 108. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?

Answer key

  1. 34
  2. 54
  3. 36
  4. 39
  5. 39
  6. 71
  7. 46
  8. 34
  9. 34
  10. 61
  11. 48
  12. 57
  13. 38
  14. 23
  15. 5
  16. 1
  17. 12
  18. 32
  19. 51
  20. 14
  21. 18
  22. 23
  23. 13
  24. 40
  25. 9
  26. 49
  27. 42
  28. 12
  29. 51
  30. 18
  31. 47
  32. 56
  33. 65
  34. 24
  35. 37
  36. 13
  37. 78
  38. 47
  39. 27
  40. 47

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