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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 745 · 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 two numbers is 116 and their difference is 10. What is the larger number?
  2. 2.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  3. 3.The sum of two numbers is 19 and their difference is 1. What is the smaller number?
  4. 4.The sum of two numbers is 165 and their difference is 7. What is the larger number?
  5. 5.One number is 3 times another. Their difference is 62. What is the smaller number?
  6. 6.The sum of two numbers is 55 and their difference is 47. What is the smaller number?
  7. 7.The sum of two numbers is 100 and their difference is 2. What is the smaller number?
  8. 8.The sum of two numbers is 34 and their difference is 28. What is the smaller number?
  9. 9.The sum of two numbers is 75 and their difference is 11. What is the smaller number?
  10. 10.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?
  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.The sum of 4 consecutive numbers is 122. What is the largest of them?
  13. 13.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?
  14. 14.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?
  15. 15.The sum of two numbers is 109 and their difference is 89. What is the larger number?
  16. 16.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 93. What is the largest of them?
  18. 18.One number is 4 times another. Their difference is 15. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 110. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 230. What is the largest of them?
  21. 21.One number is 6 times another. Their difference is 110. What is the smaller number?
  22. 22.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  23. 23.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  24. 24.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  25. 25.The sum of two numbers is 147 and their difference is 15. What is the larger number?
  26. 26.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?
  27. 27.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  28. 28.One number is 2 times another. Their difference is 8. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 3 consecutive numbers is 36. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 170. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  33. 33.The sum of two numbers is 14 and their difference is 12. What is the larger number?
  34. 34.The sum of 5 consecutive numbers is 295. What is the smallest of them?
  35. 35.One number is 4 times another. Their difference is 54. What is the smaller number?
  36. 36.The sum of two numbers is 124 and their difference is 46. What is the smaller number?
  37. 37.The sum of 3 consecutive numbers is 159. What is the largest of them?
  38. 38.One number is 6 times another. Their difference is 150. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 36. What is the smaller number?
  40. 40.The sum of 5 consecutive numbers is 255. What is the smallest of them?

Answer key

  1. 63
  2. 57
  3. 9
  4. 86
  5. 31
  6. 4
  7. 49
  8. 3
  9. 32
  10. 57
  11. 79
  12. 32
  13. 49
  14. 56
  15. 99
  16. 52
  17. 32
  18. 5
  19. 24
  20. 48
  21. 22
  22. 64
  23. 11
  24. 28
  25. 81
  26. 23
  27. 54
  28. 8
  29. 45
  30. 13
  31. 41
  32. 36
  33. 13
  34. 57
  35. 18
  36. 39
  37. 54
  38. 30
  39. 9
  40. 49

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