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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 158 · 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 10. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.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?
  3. 3.The sum of 4 consecutive numbers is 70. What is the largest of them?
  4. 4.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  5. 5.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  6. 6.One number is 5 times another. Their difference is 88. What is the smaller number?
  7. 7.One number is 4 times another. Their difference is 87. What is the smaller number?
  8. 8.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  9. 9.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  10. 10.The sum of two numbers is 179 and their difference is 11. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  12. 12.The sum of two numbers is 93 and their difference is 5. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 180. What is the largest of them?
  14. 14.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?
  15. 15.The sum of 4 consecutive even numbers is 300. What is the smallest of them?
  16. 16.The sum of two numbers is 33 and their difference is 31. What is the smaller number?
  17. 17.The sum of two numbers is 126 and their difference is 12. What is the larger number?
  18. 18.The sum of 4 consecutive even numbers is 276. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 86. What is the largest of them?
  20. 20.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  21. 21.One number is 5 times another. Their difference is 96. What is the smaller number?
  22. 22.The sum of two numbers is 124 and their difference is 38. What is the larger number?
  23. 23.The sum of two numbers is 26 and their difference is 24. What is the larger number?
  24. 24.The sum of two numbers is 152 and their difference is 4. What is the larger number?
  25. 25.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  27. 27.The sum of two numbers is 101 and their difference is 43. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 141. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 200. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  31. 31.The sum of 4 consecutive numbers is 234. What is the smallest of them?
  32. 32.The sum of two numbers is 184 and their difference is 14. What is the larger number?
  33. 33.The sum of two numbers is 85 and their difference is 15. What is the smaller number?
  34. 34.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  35. 35.The sum of two numbers is 107 and their difference is 85. What is the smaller number?
  36. 36.One number is 2 times another. Their difference is 27. What is the smaller number?
  37. 37.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  38. 38.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  39. 39.The sum of 3 consecutive even numbers is 186. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 45. What is the largest of them?

Answer key

  1. 46
  2. 19
  3. 19
  4. 15
  5. 69
  6. 22
  7. 29
  8. 36
  9. 27
  10. 84
  11. 58
  12. 44
  13. 62
  14. 89
  15. 72
  16. 1
  17. 69
  18. 72
  19. 23
  20. 82
  21. 24
  22. 81
  23. 25
  24. 78
  25. 75
  26. 59
  27. 29
  28. 45
  29. 42
  30. 8
  31. 57
  32. 99
  33. 35
  34. 78
  35. 11
  36. 27
  37. 47
  38. 79
  39. 64
  40. 16

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