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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 775 · 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 27 and their difference is 21. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  3. 3.The sum of 3 consecutive numbers is 54. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  5. 5.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?
  6. 6.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?
  7. 7.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?
  8. 8.The sum of two numbers is 44 and their difference is 18. What is the larger number?
  9. 9.The sum of 4 consecutive numbers is 70. What is the largest of them?
  10. 10.One number is 2 times another. Their difference is 39. What is the smaller number?
  11. 11.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?
  12. 12.The sum of two numbers is 157 and their difference is 19. What is the larger number?
  13. 13.The sum of two numbers is 23 and their difference is 9. What is the larger number?
  14. 14.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  15. 15.The sum of two numbers is 42 and their difference is 18. What is the smaller number?
  16. 16.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  17. 17.The sum of two numbers is 57 and their difference is 25. What is the smaller number?
  18. 18.One number is 6 times another. Their difference is 80. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  20. 20.One number is 5 times another. Their difference is 136. What is the smaller number?
  21. 21.The sum of two numbers is 136 and their difference is 58. What is the smaller number?
  22. 22.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 150. What is the largest of them?
  24. 24.The sum of two numbers is 46 and their difference is 44. What is the smaller number?
  25. 25.The sum of two numbers is 35 and their difference is 33. What is the smaller number?
  26. 26.One number is 4 times another. Their difference is 111. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 154. What is the largest of them?
  28. 28.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 16. What is the smaller number?
  30. 30.The sum of two numbers is 19 and their difference is 3. What is the larger number?
  31. 31.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  32. 32.The sum of 4 consecutive odd numbers is 48. What is the largest of them?
  33. 33.One number is 2 times another. Their difference is 4. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 204. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  36. 36.One number is 5 times another. Their difference is 140. What is the smaller number?
  37. 37.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?
  38. 38.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  39. 39.The sum of two numbers is 25 and their difference is 17. What is the smaller number?
  40. 40.The sum of 4 consecutive odd numbers is 176. What is the largest of them?

Answer key

  1. 3
  2. 45
  3. 19
  4. 35
  5. 59
  6. 17
  7. 38
  8. 31
  9. 19
  10. 39
  11. 13
  12. 88
  13. 16
  14. 15
  15. 12
  16. 16
  17. 16
  18. 16
  19. 69
  20. 34
  21. 39
  22. 30
  23. 51
  24. 1
  25. 1
  26. 37
  27. 40
  28. 24
  29. 16
  30. 11
  31. 22
  32. 15
  33. 4
  34. 66
  35. 22
  36. 35
  37. 36
  38. 67
  39. 4
  40. 47

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