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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 678 · 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.One number is 4 times another. Their difference is 18. What is the smaller number?
  2. 2.One number is 5 times another. Their difference is 140. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  4. 4.One number is 2 times another. Their difference is 25. What is the smaller number?
  5. 5.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  6. 6.The sum of two numbers is 116 and their difference is 14. What is the smaller number?
  7. 7.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  8. 8.The sum of 4 consecutive even numbers is 60. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 60. What is the largest of them?
  10. 10.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  11. 11.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  12. 12.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?
  13. 13.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  14. 14.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?
  15. 15.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  16. 16.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?
  17. 17.The sum of 4 consecutive even numbers is 156. What is the largest of them?
  18. 18.The sum of 4 consecutive odd numbers is 312. What is the largest of them?
  19. 19.The sum of two numbers is 84 and their difference is 64. What is the larger number?
  20. 20.The sum of two numbers is 148 and their difference is 48. What is the larger number?
  21. 21.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?
  22. 22.The sum of 5 consecutive numbers is 145. What is the largest of them?
  23. 23.The sum of 3 consecutive even numbers is 210. What is the largest of them?
  24. 24.One number is 2 times another. Their difference is 5. What is the smaller number?
  25. 25.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?
  26. 26.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?
  27. 27.The sum of two numbers is 34 and their difference is 2. What is the larger number?
  28. 28.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?
  29. 29.The sum of 3 consecutive odd numbers is 189. What is the largest of them?
  30. 30.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive numbers is 150. What is the smallest of them?
  33. 33.The sum of 4 consecutive odd numbers is 104. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 54. What is the largest of them?
  35. 35.The sum of two numbers is 112 and their difference is 76. What is the larger number?
  36. 36.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?
  37. 37.The sum of two numbers is 51 and their difference is 5. What is the larger number?
  38. 38.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?
  39. 39.The sum of 4 consecutive numbers is 70. What is the largest of them?
  40. 40.The sum of 4 consecutive numbers is 126. What is the smallest of them?

Answer key

  1. 6
  2. 35
  3. 36
  4. 25
  5. 43
  6. 51
  7. 13
  8. 18
  9. 21
  10. 54
  11. 58
  12. 35
  13. 55
  14. 15
  15. 55
  16. 37
  17. 42
  18. 81
  19. 74
  20. 98
  21. 68
  22. 31
  23. 72
  24. 5
  25. 89
  26. 16
  27. 18
  28. 23
  29. 65
  30. 49
  31. 34
  32. 49
  33. 29
  34. 19
  35. 94
  36. 79
  37. 28
  38. 57
  39. 19
  40. 30

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