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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 686 · 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 3 times another. Their difference is 16. What is the smaller number?
  2. 2.One number is 6 times another. Their difference is 65. What is the smaller number?
  3. 3.One number is 2 times another. Their difference is 16. What is the smaller number?
  4. 4.One number is 2 times another. Their difference is 39. What is the smaller number?
  5. 5.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?
  6. 6.The sum of two numbers is 166 and their difference is 14. What is the smaller number?
  7. 7.The sum of two numbers is 151 and their difference is 15. What is the larger number?
  8. 8.The sum of two numbers is 123 and their difference is 3. What is the larger number?
  9. 9.The sum of 5 consecutive numbers is 50. What is the largest of them?
  10. 10.The sum of two numbers is 103 and their difference is 25. What is the larger number?
  11. 11.The sum of 3 consecutive odd numbers is 57. What is the smallest of them?
  12. 12.One number is 2 times another. Their difference is 24. What is the smaller number?
  13. 13.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  14. 14.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  15. 15.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  16. 16.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?
  17. 17.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?
  18. 18.The sum of 5 consecutive numbers is 295. What is the largest of them?
  19. 19.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  20. 20.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?
  21. 21.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  22. 22.One number is 4 times another. Their difference is 117. What is the smaller number?
  23. 23.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?
  24. 24.The sum of two numbers is 130 and their difference is 26. What is the smaller number?
  25. 25.The sum of 3 consecutive numbers is 180. What is the largest of them?
  26. 26.The sum of two numbers is 121 and their difference is 71. What is the larger number?
  27. 27.The sum of 4 consecutive numbers is 182. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 93. What is the largest of them?
  30. 30.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  31. 31.The sum of two numbers is 158 and their difference is 20. What is the larger number?
  32. 32.The sum of 3 consecutive odd numbers is 195. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 220. What is the largest of them?
  35. 35.One number is 6 times another. Their difference is 130. What is the smaller number?
  36. 36.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?
  37. 37.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?
  38. 38.The sum of two numbers is 47 and their difference is 9. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  40. 40.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?

Answer key

  1. 8
  2. 13
  3. 16
  4. 39
  5. 46
  6. 76
  7. 83
  8. 63
  9. 12
  10. 64
  11. 17
  12. 24
  13. 59
  14. 51
  15. 45
  16. 89
  17. 26
  18. 61
  19. 63
  20. 57
  21. 19
  22. 39
  23. 49
  24. 52
  25. 61
  26. 96
  27. 47
  28. 16
  29. 32
  30. 75
  31. 89
  32. 67
  33. 8
  34. 46
  35. 26
  36. 59
  37. 12
  38. 19
  39. 22
  40. 56

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