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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 994 · 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 3 consecutive numbers is 156. What is the largest of them?
  2. 2.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?
  3. 3.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  4. 4.The sum of two numbers is 49 and their difference is 27. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  6. 6.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  7. 7.The sum of two numbers is 17 and their difference is 9. What is the larger number?
  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 3 consecutive even numbers is 150. What is the smallest of them?
  10. 10.The sum of two numbers is 47 and their difference is 15. What is the smaller number?
  11. 11.One number is 3 times another. Their difference is 16. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 45. What is the largest of them?
  13. 13.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?
  14. 14.One number is 4 times another. Their difference is 21. What is the smaller number?
  15. 15.The sum of two numbers is 61 and their difference is 15. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 195. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 60. What is the largest of them?
  18. 18.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?
  19. 19.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  20. 20.The sum of 3 consecutive odd numbers is 69. What is the largest of them?
  21. 21.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  22. 22.The sum of 4 consecutive numbers is 42. What is the largest of them?
  23. 23.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  24. 24.The sum of 5 consecutive numbers is 180. What is the smallest of them?
  25. 25.The sum of two numbers is 82 and their difference is 12. What is the smaller number?
  26. 26.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  27. 27.The sum of two numbers is 63 and their difference is 19. What is the larger number?
  28. 28.One number is 2 times another. Their difference is 8. What is the smaller number?
  29. 29.The sum of two numbers is 129 and their difference is 1. What is the smaller number?
  30. 30.One number is 6 times another. Their difference is 50. What is the smaller number?
  31. 31.One number is 4 times another. Their difference is 54. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  33. 33.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  34. 34.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  35. 35.One number is 4 times another. Their difference is 36. What is the smaller number?
  36. 36.One number is 2 times another. Their difference is 23. What is the smaller number?
  37. 37.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  40. 40.The sum of two numbers is 28 and their difference is 8. What is the larger number?

Answer key

  1. 53
  2. 35
  3. 49
  4. 11
  5. 40
  6. 46
  7. 13
  8. 38
  9. 48
  10. 16
  11. 8
  12. 11
  13. 89
  14. 7
  15. 23
  16. 37
  17. 21
  18. 19
  19. 25
  20. 25
  21. 31
  22. 12
  23. 12
  24. 34
  25. 35
  26. 29
  27. 41
  28. 8
  29. 64
  30. 10
  31. 18
  32. 68
  33. 8
  34. 19
  35. 12
  36. 23
  37. 12
  38. 59
  39. 79
  40. 18

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