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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 968 · 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 6 times another. Their difference is 110. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 136. What is the largest of them?
  3. 3.The sum of 3 consecutive odd numbers is 183. What is the largest 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 36. What is the number?
  5. 5.One number is 6 times another. Their difference is 180. What is the smaller number?
  6. 6.The sum of two numbers is 51 and their difference is 39. What is the smaller number?
  7. 7.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  8. 8.The sum of 5 consecutive numbers is 50. What is the smallest of them?
  9. 9.One number is 3 times another. Their difference is 28. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  11. 11.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  12. 12.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  13. 13.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 30. What is the smallest of them?
  16. 16.One number is 6 times another. Their difference is 20. What is the smaller number?
  17. 17.The sum of 5 consecutive numbers is 110. What is the largest of them?
  18. 18.One number is 4 times another. Their difference is 75. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 310. What is the largest of them?
  20. 20.The sum of two numbers is 111 and their difference is 33. What is the smaller number?
  21. 21.The sum of two numbers is 14 and their difference is 12. What is the larger number?
  22. 22.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  23. 23.The sum of 4 consecutive numbers is 162. What is the largest of them?
  24. 24.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?
  25. 25.The sum of two numbers is 121 and their difference is 1. What is the smaller number?
  26. 26.The sum of two numbers is 89 and their difference is 73. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 105. What is the largest of them?
  28. 28.The sum of two numbers is 75 and their difference is 47. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 90. What is the largest of them?
  30. 30.The sum of two numbers is 14 and their difference is 6. What is the larger number?
  31. 31.The sum of two numbers is 86 and their difference is 58. What is the larger number?
  32. 32.The sum of 3 consecutive odd numbers is 219. What is the largest of them?
  33. 33.The sum of two numbers is 111 and their difference is 67. What is the larger number?
  34. 34.The sum of 3 consecutive odd numbers is 33. What is the largest of them?
  35. 35.One number is 5 times another. Their difference is 32. What is the smaller number?
  36. 36.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  37. 37.One number is 2 times another. Their difference is 15. What is the smaller number?
  38. 38.The sum of two numbers is 92 and their difference is 44. What is the larger number?
  39. 39.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  40. 40.The sum of two numbers is 105 and their difference is 23. What is the smaller number?

Answer key

  1. 22
  2. 37
  3. 63
  4. 37
  5. 36
  6. 6
  7. 65
  8. 8
  9. 14
  10. 18
  11. 77
  12. 15
  13. 40
  14. 38
  15. 9
  16. 4
  17. 24
  18. 25
  19. 64
  20. 39
  21. 13
  22. 55
  23. 42
  24. 68
  25. 60
  26. 8
  27. 36
  28. 14
  29. 20
  30. 10
  31. 72
  32. 75
  33. 89
  34. 13
  35. 8
  36. 38
  37. 15
  38. 68
  39. 28
  40. 41

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