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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 631 · 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 25 and their difference is 7. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 70. What is the largest of them?
  3. 3.The sum of two numbers is 79 and their difference is 17. What is the larger number?
  4. 4.The sum of two numbers is 126 and their difference is 66. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 96. What is the largest of them?
  7. 7.The sum of 5 consecutive numbers is 180. What is the largest of them?
  8. 8.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?
  9. 9.The sum of 5 consecutive numbers is 225. What is the largest of them?
  10. 10.The sum of two numbers is 88 and their difference is 18. What is the smaller number?
  11. 11.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  12. 12.The sum of 5 consecutive numbers is 145. What is the largest of them?
  13. 13.The sum of 5 consecutive numbers is 40. What is the largest of them?
  14. 14.The sum of two numbers is 40 and their difference is 16. What is the smaller number?
  15. 15.The sum of two numbers is 130 and their difference is 14. What is the larger number?
  16. 16.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  17. 17.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  18. 18.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  19. 19.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  20. 20.The sum of 5 consecutive numbers is 165. What is the largest of them?
  21. 21.One number is 6 times another. Their difference is 155. What is the smaller number?
  22. 22.One number is 3 times another. Their difference is 20. What is the smaller 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 4 consecutive numbers is 158. What is the largest of them?
  25. 25.The sum of two numbers is 110 and their difference is 52. What is the larger number?
  26. 26.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  27. 27.The sum of 3 consecutive numbers is 87. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  29. 29.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?
  30. 30.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?
  31. 31.The sum of two numbers is 69 and their difference is 11. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 24. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 165. What is the smallest of them?
  34. 34.One number is 4 times another. Their difference is 87. What is the smaller number?
  35. 35.The sum of two numbers is 76 and their difference is 26. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  38. 38.The sum of two numbers is 119 and their difference is 73. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?

Answer key

  1. 9
  2. 19
  3. 48
  4. 30
  5. 21
  6. 33
  7. 38
  8. 38
  9. 47
  10. 35
  11. 59
  12. 31
  13. 10
  14. 12
  15. 72
  16. 37
  17. 24
  18. 32
  19. 81
  20. 35
  21. 31
  22. 10
  23. 89
  24. 41
  25. 81
  26. 25
  27. 30
  28. 19
  29. 23
  30. 79
  31. 29
  32. 8
  33. 31
  34. 29
  35. 25
  36. 12
  37. 21
  38. 23
  39. 27
  40. 48

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