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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 129 · 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 36. What is the number?
  2. 2.The sum of two numbers is 127 and their difference is 61. What is the smaller number?
  3. 3.The sum of 3 consecutive numbers is 183. What is the largest of them?
  4. 4.The sum of 3 consecutive odd numbers is 45. What is the smallest of them?
  5. 5.The sum of 5 consecutive numbers is 130. What is the largest of them?
  6. 6.One number is 4 times another. Their difference is 24. What is the smaller number?
  7. 7.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  9. 9.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  10. 10.The sum of 3 consecutive numbers is 153. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  12. 12.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  13. 13.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  14. 14.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  16. 16.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  18. 18.One number is 2 times another. Their difference is 15. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  20. 20.The sum of 5 consecutive numbers is 45. What is the largest of them?
  21. 21.The sum of two numbers is 87 and their difference is 1. What is the smaller number?
  22. 22.The sum of two numbers is 72 and their difference is 52. What is the larger number?
  23. 23.One number is 2 times another. Their difference is 27. What is the smaller number?
  24. 24.The sum of 3 consecutive numbers is 120. What is the largest of them?
  25. 25.The sum of two numbers is 55 and their difference is 23. What is the larger number?
  26. 26.The sum of two numbers is 107 and their difference is 47. What is the smaller number?
  27. 27.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?
  28. 28.The sum of two numbers is 69 and their difference is 45. What is the larger number?
  29. 29.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 214. What is the largest of them?
  31. 31.The sum of two numbers is 70 and their difference is 54. What is the smaller number?
  32. 32.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?
  33. 33.The sum of 3 consecutive even numbers is 240. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  36. 36.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  37. 37.One number is 4 times another. Their difference is 78. What is the smaller number?
  38. 38.One number is 4 times another. Their difference is 87. What is the smaller number?
  39. 39.The sum of 5 consecutive numbers is 135. What is the smallest of them?
  40. 40.The sum of 5 consecutive numbers is 265. What is the smallest of them?

Answer key

  1. 37
  2. 33
  3. 62
  4. 13
  5. 28
  6. 8
  7. 35
  8. 8
  9. 16
  10. 50
  11. 51
  12. 28
  13. 29
  14. 19
  15. 28
  16. 6
  17. 16
  18. 15
  19. 18
  20. 11
  21. 43
  22. 62
  23. 27
  24. 41
  25. 39
  26. 30
  27. 78
  28. 57
  29. 64
  30. 55
  31. 8
  32. 79
  33. 82
  34. 44
  35. 48
  36. 57
  37. 26
  38. 29
  39. 25
  40. 51

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