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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 967 · 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 2 times another. Their difference is 13. What is the smaller number?
  2. 2.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?
  3. 3.The sum of two numbers is 76 and their difference is 58. What is the larger number?
  4. 4.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  5. 5.One number is 2 times another. Their difference is 38. What is the smaller number?
  6. 6.The sum of 4 consecutive numbers is 66. What is the largest of them?
  7. 7.The sum of two numbers is 96 and their difference is 32. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 219. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 225. What is the largest of them?
  10. 10.The sum of two numbers is 193 and their difference is 3. What is the smaller number?
  11. 11.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  12. 12.The sum of 5 consecutive numbers is 130. What is the largest of them?
  13. 13.The sum of two numbers is 28 and their difference is 20. What is the larger number?
  14. 14.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  15. 15.The sum of 3 consecutive numbers is 129. What is the largest of them?
  16. 16.The sum of 4 consecutive numbers is 114. What is the largest of them?
  17. 17.The sum of two numbers is 178 and their difference is 8. What is the smaller number?
  18. 18.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  20. 20.One number is 5 times another. Their difference is 64. What is the smaller number?
  21. 21.The sum of two numbers is 32 and their difference is 8. What is the larger number?
  22. 22.The sum of 4 consecutive even numbers is 252. What is the smallest of them?
  23. 23.The sum of two numbers is 159 and their difference is 33. What is the smaller number?
  24. 24.The sum of 5 consecutive numbers is 105. What is the largest of them?
  25. 25.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  26. 26.One number is 5 times another. Their difference is 132. What is the smaller number?
  27. 27.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  28. 28.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?
  29. 29.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  30. 30.The sum of 4 consecutive odd numbers is 112. What is the largest of them?
  31. 31.The sum of two numbers is 28 and their difference is 22. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 15. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 120. What is the smaller number?
  34. 34.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?
  35. 35.The digits of a two-digit number add up to 6. 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 136. What is the largest of them?
  37. 37.The sum of 5 consecutive numbers is 55. What is the largest of them?
  38. 38.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of two numbers is 97 and their difference is 83. What is the smaller number?

Answer key

  1. 13
  2. 89
  3. 67
  4. 9
  5. 38
  6. 18
  7. 32
  8. 71
  9. 77
  10. 95
  11. 23
  12. 28
  13. 24
  14. 19
  15. 44
  16. 30
  17. 85
  18. 46
  19. 30
  20. 16
  21. 20
  22. 60
  23. 63
  24. 23
  25. 27
  26. 33
  27. 18
  28. 79
  29. 35
  30. 31
  31. 3
  32. 5
  33. 30
  34. 38
  35. 15
  36. 37
  37. 13
  38. 9
  39. 14
  40. 7

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