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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 13 · 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).

NameDateTime takenScore ___ / 40
  1. 1.The sum of 4 consecutive even numbers is 156. What is the smallest of them?
  2. 2.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  3. 3.The sum of two numbers is 60 and their difference is 36. What is the larger number?
  4. 4.The sum of 3 consecutive numbers is 36. What is the largest of them?
  5. 5.The sum of 4 consecutive even numbers is 332. What is the largest of them?
  6. 6.One number is 3 times another. Their difference is 48. What is the smaller number?
  7. 7.The sum of two numbers is 18 and their difference is 2. What is the larger number?
  8. 8.The sum of 4 consecutive numbers is 206. What is the largest of them?
  9. 9.The sum of two numbers is 28 and their difference is 22. What is the smaller number?
  10. 10.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  11. 11.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  12. 12.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  13. 13.One number is 3 times another. Their difference is 8. What is the smaller number?
  14. 14.The sum of two numbers is 161 and their difference is 29. What is the smaller number?
  15. 15.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.The sum of 3 consecutive numbers is 33. What is the largest of them?
  17. 17.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  18. 18.The sum of two numbers is 105 and their difference is 73. What is the smaller number?
  19. 19.One number is 5 times another. Their difference is 32. What is the smaller number?
  20. 20.The sum of 3 consecutive numbers is 66. What is the largest of them?
  21. 21.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?
  22. 22.The sum of two numbers is 25 and their difference is 23. What is the smaller number?
  23. 23.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  24. 24.The sum of 4 consecutive odd numbers is 136. What is the smallest of them?
  25. 25.The sum of two numbers is 52 and their difference is 40. What is the larger number?
  26. 26.The sum of 4 consecutive even numbers is 308. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  28. 28.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?
  29. 29.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  30. 30.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  31. 31.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  32. 32.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  33. 33.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 105. What is the smallest of them?
  35. 35.One number is 3 times another. Their difference is 44. What is the smaller number?
  36. 36.The sum of two numbers is 101 and their difference is 13. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  38. 38.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  39. 39.The sum of two numbers is 72 and their difference is 70. What is the larger number?
  40. 40.The sum of two numbers is 17 and their difference is 7. What is the smaller number?

Answer key

  1. 36
  2. 26
  3. 48
  4. 13
  5. 86
  6. 24
  7. 10
  8. 53
  9. 3
  10. 12
  11. 57
  12. 57
  13. 4
  14. 66
  15. 34
  16. 12
  17. 21
  18. 16
  19. 8
  20. 23
  21. 78
  22. 1
  23. 42
  24. 31
  25. 46
  26. 74
  27. 24
  28. 18
  29. 26
  30. 19
  31. 16
  32. 50
  33. 68
  34. 34
  35. 22
  36. 44
  37. 15
  38. 32
  39. 71
  40. 5

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