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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 167 · 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 4 times another. Their difference is 18. What is the smaller number?
  2. 2.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  3. 3.The sum of 4 consecutive numbers is 202. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  5. 5.One number is 3 times another. Their difference is 64. What is the smaller number?
  6. 6.The sum of 3 consecutive even numbers is 240. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  10. 10.The sum of two numbers is 40 and their difference is 24. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 175. What is the smallest of them?
  13. 13.One number is 2 times another. Their difference is 8. What is the smaller number?
  14. 14.One number is 6 times another. Their difference is 65. What is the smaller number?
  15. 15.The sum of two numbers is 64 and their difference is 14. What is the smaller number?
  16. 16.One number is 5 times another. Their difference is 92. What is the smaller number?
  17. 17.One number is 4 times another. Their difference is 60. What is the smaller number?
  18. 18.The sum of two numbers is 34 and their difference is 4. What is the smaller number?
  19. 19.The sum of two numbers is 28 and their difference is 2. What is the larger number?
  20. 20.The sum of 4 consecutive odd numbers is 56. What is the largest of them?
  21. 21.The sum of two numbers is 160 and their difference is 22. What is the larger 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 4 consecutive numbers is 118. What is the smallest of them?
  24. 24.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  25. 25.One number is 2 times another. Their difference is 3. What is the smaller number?
  26. 26.One number is 6 times another. Their difference is 105. What is the smaller number?
  27. 27.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  28. 28.The sum of two numbers is 14 and their difference is 12. What is the smaller number?
  29. 29.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?
  30. 30.The sum of two numbers is 131 and their difference is 19. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 66. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 122. What is the largest of them?
  33. 33.The sum of 5 consecutive numbers is 75. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 36. What is the number?
  35. 35.The sum of 5 consecutive numbers is 220. What is the largest of them?
  36. 36.The sum of 4 consecutive numbers is 66. What is the largest of them?
  37. 37.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  38. 38.The sum of 4 consecutive numbers is 86. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 130. What is the largest of them?
  40. 40.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?

Answer key

  1. 6
  2. 23
  3. 52
  4. 21
  5. 32
  6. 78
  7. 13
  8. 20
  9. 75
  10. 8
  11. 13
  12. 33
  13. 8
  14. 13
  15. 25
  16. 23
  17. 20
  18. 15
  19. 15
  20. 17
  21. 91
  22. 67
  23. 28
  24. 45
  25. 3
  26. 21
  27. 25
  28. 1
  29. 89
  30. 56
  31. 33
  32. 32
  33. 13
  34. 37
  35. 46
  36. 18
  37. 68
  38. 23
  39. 28
  40. 45

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