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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 431 · 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 sum of two numbers is 106 and their difference is 28. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 18. What is the smaller number?
  3. 3.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  4. 4.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  5. 5.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  6. 6.The sum of 3 consecutive numbers is 132. What is the largest of them?
  7. 7.One number is 2 times another. Their difference is 5. What is the smaller number?
  8. 8.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?
  9. 9.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?
  10. 10.The sum of 3 consecutive numbers is 156. What is the smallest of them?
  11. 11.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  12. 12.The sum of two numbers is 20 and their difference is 8. What is the larger number?
  13. 13.The sum of two numbers is 22 and their difference is 16. What is the smaller number?
  14. 14.The sum of 3 consecutive even numbers is 66. What is the smallest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive numbers is 150. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 288. What is the smallest of them?
  18. 18.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?
  19. 19.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  20. 20.The sum of 3 consecutive numbers is 102. What is the smallest of them?
  21. 21.The sum of 3 consecutive numbers is 120. What is the smallest of them?
  22. 22.One number is 6 times another. Their difference is 190. What is the smaller number?
  23. 23.The sum of 3 consecutive even numbers is 222. What is the largest of them?
  24. 24.One number is 4 times another. Their difference is 54. What is the smaller number?
  25. 25.The sum of two numbers is 73 and their difference is 65. What is the smaller number?
  26. 26.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?
  27. 27.The sum of two numbers is 152 and their difference is 34. What is the larger number?
  28. 28.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  29. 29.One number is 4 times another. Their difference is 111. What is the smaller number?
  30. 30.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?
  31. 31.One number is 6 times another. Their difference is 145. What is the smaller number?
  32. 32.One number is 6 times another. Their difference is 55. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 99. What is the largest of them?
  34. 34.The sum of two numbers is 112 and their difference is 60. What is the smaller number?
  35. 35.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  36. 36.The sum of two numbers is 160 and their difference is 22. What is the larger number?
  37. 37.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?
  38. 38.One number is 6 times another. Their difference is 135. What is the smaller number?
  39. 39.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  40. 40.The sum of 4 consecutive numbers is 206. What is the smallest of them?

Answer key

  1. 39
  2. 9
  3. 16
  4. 29
  5. 38
  6. 45
  7. 5
  8. 47
  9. 79
  10. 51
  11. 29
  12. 14
  13. 3
  14. 20
  15. 48
  16. 39
  17. 69
  18. 78
  19. 23
  20. 33
  21. 39
  22. 38
  23. 76
  24. 18
  25. 4
  26. 56
  27. 93
  28. 22
  29. 37
  30. 29
  31. 29
  32. 11
  33. 35
  34. 26
  35. 18
  36. 91
  37. 67
  38. 27
  39. 37
  40. 50

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