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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 999 · 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.One number is 3 times another. Their difference is 38. What is the smaller number?
  2. 2.One number is 4 times another. Their difference is 81. What is the smaller number?
  3. 3.The sum of 4 consecutive even numbers is 212. What is the smallest of them?
  4. 4.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?
  5. 5.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 48. What is the largest of them?
  7. 7.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  8. 8.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  9. 9.The sum of two numbers is 55 and their difference is 43. What is the smaller number?
  10. 10.The sum of 4 consecutive numbers is 138. What is the smallest of them?
  11. 11.One number is 3 times another. Their difference is 52. What is the smaller number?
  12. 12.One number is 5 times another. Their difference is 156. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 183. What is the smallest of them?
  14. 14.The sum of two numbers is 65 and their difference is 21. What is the smaller number?
  15. 15.The sum of two numbers is 57 and their difference is 27. What is the smaller number?
  16. 16.The sum of two numbers is 33 and their difference is 21. What is the smaller number?
  17. 17.The sum of two numbers is 77 and their difference is 9. What is the smaller number?
  18. 18.One number is 4 times another. Their difference is 117. What is the smaller number?
  19. 19.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?
  20. 20.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?
  21. 21.The sum of two numbers is 96 and their difference is 60. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  25. 25.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  26. 26.The sum of 3 consecutive numbers is 87. What is the largest of them?
  27. 27.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?
  28. 28.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  29. 29.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  30. 30.The sum of two numbers is 156 and their difference is 2. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  32. 32.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 146. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 174. What is the largest of them?
  35. 35.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  36. 36.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 57. What is the largest of them?
  38. 38.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?
  39. 39.The sum of two numbers is 147 and their difference is 23. What is the larger number?
  40. 40.The sum of 4 consecutive numbers is 134. What is the smallest of them?

Answer key

  1. 19
  2. 27
  3. 50
  4. 19
  5. 68
  6. 17
  7. 76
  8. 12
  9. 6
  10. 33
  11. 26
  12. 39
  13. 59
  14. 22
  15. 15
  16. 6
  17. 34
  18. 39
  19. 58
  20. 89
  21. 18
  22. 67
  23. 69
  24. 35
  25. 79
  26. 30
  27. 46
  28. 51
  29. 55
  30. 77
  31. 54
  32. 44
  33. 38
  34. 59
  35. 14
  36. 18
  37. 20
  38. 36
  39. 85
  40. 32

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