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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 739 · 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).

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  1. 1.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?
  2. 2.The sum of 4 consecutive odd numbers is 200. What is the smallest of them?
  3. 3.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?
  4. 4.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  5. 5.The sum of two numbers is 101 and their difference is 81. What is the smaller number?
  6. 6.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 90. What is the smallest of them?
  8. 8.The sum of two numbers is 44 and their difference is 4. What is the larger number?
  9. 9.The sum of two numbers is 151 and their difference is 23. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 93. What is the largest of them?
  11. 11.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?
  12. 12.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  13. 13.The sum of two numbers is 41 and their difference is 35. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  16. 16.The sum of 4 consecutive odd numbers is 328. What is the largest of them?
  17. 17.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  18. 18.The sum of two numbers is 25 and their difference is 21. What is the larger number?
  19. 19.One number is 5 times another. Their difference is 96. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 76. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  22. 22.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
  23. 23.One number is 6 times another. Their difference is 60. What is the smaller number?
  24. 24.One number is 4 times another. Their difference is 90. What is the smaller number?
  25. 25.The sum of two numbers is 112 and their difference is 26. What is the larger number?
  26. 26.The sum of 3 consecutive numbers is 36. What is the largest of them?
  27. 27.The sum of two numbers is 59 and their difference is 43. What is the larger number?
  28. 28.The sum of 4 consecutive numbers is 42. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  31. 31.The sum of 3 consecutive even numbers is 234. 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 63. What is the number?
  33. 33.The sum of two numbers is 18 and their difference is 12. What is the smaller number?
  34. 34.One number is 3 times another. Their difference is 24. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  36. 36.The sum of 4 consecutive odd numbers is 296. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  39. 39.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  40. 40.The sum of two numbers is 94 and their difference is 54. What is the smaller number?

Answer key

  1. 13
  2. 47
  3. 46
  4. 17
  5. 10
  6. 54
  7. 21
  8. 24
  9. 64
  10. 32
  11. 89
  12. 73
  13. 3
  14. 46
  15. 8
  16. 85
  17. 77
  18. 23
  19. 24
  20. 38
  21. 41
  22. 48
  23. 12
  24. 30
  25. 69
  26. 13
  27. 51
  28. 9
  29. 15
  30. 43
  31. 76
  32. 18
  33. 3
  34. 12
  35. 39
  36. 71
  37. 49
  38. 39
  39. 27
  40. 20

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