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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 159 · 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 5 times another. Their difference is 112. What is the smaller number?
  2. 2.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  3. 3.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  4. 4.The sum of two numbers is 35 and their difference is 17. What is the larger number?
  5. 5.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  6. 6.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  7. 7.The sum of two numbers is 59 and their difference is 25. What is the smaller number?
  8. 8.The sum of 4 consecutive numbers is 170. What is the largest of them?
  9. 9.The sum of two numbers is 165 and their difference is 23. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  11. 11.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  12. 12.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  13. 13.One number is 4 times another. Their difference is 66. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 202. What is the smallest of them?
  15. 15.The sum of two numbers is 116 and their difference is 54. What is the smaller number?
  16. 16.The sum of two numbers is 94 and their difference is 56. What is the larger number?
  17. 17.The sum of two numbers is 55 and their difference is 25. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  19. 19.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  20. 20.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  21. 21.The sum of 5 consecutive numbers is 40. What is the smallest of them?
  22. 22.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  23. 23.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  24. 24.The sum of two numbers is 26 and their difference is 22. What is the larger number?
  25. 25.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  26. 26.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?
  27. 27.One number is 6 times another. Their difference is 185. What is the smaller number?
  28. 28.The sum of two numbers is 12 and their difference is 10. What is the larger number?
  29. 29.The sum of two numbers is 104 and their difference is 38. What is the smaller number?
  30. 30.One number is 6 times another. Their difference is 85. What is the smaller number?
  31. 31.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  32. 32.The sum of 4 consecutive even numbers is 132. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  35. 35.The sum of two numbers is 100 and their difference is 74. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 210. What is the smallest of them?
  37. 37.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  39. 39.The sum of two numbers is 34 and their difference is 12. What is the larger number?
  40. 40.The sum of 3 consecutive numbers is 162. What is the largest of them?

Answer key

  1. 28
  2. 60
  3. 10
  4. 26
  5. 25
  6. 9
  7. 17
  8. 44
  9. 71
  10. 49
  11. 33
  12. 21
  13. 22
  14. 49
  15. 31
  16. 75
  17. 15
  18. 45
  19. 56
  20. 26
  21. 6
  22. 68
  23. 40
  24. 24
  25. 47
  26. 67
  27. 37
  28. 11
  29. 33
  30. 17
  31. 19
  32. 30
  33. 35
  34. 11
  35. 13
  36. 40
  37. 23
  38. 69
  39. 23
  40. 55

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