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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 35 · 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 3 consecutive numbers is 147. What is the largest of them?
  2. 2.The sum of 4 consecutive odd numbers is 184. What is the largest of them?
  3. 3.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  4. 4.The sum of two numbers is 51 and their difference is 19. What is the larger number?
  5. 5.One number is 6 times another. Their difference is 130. What is the smaller number?
  6. 6.One number is 3 times another. Their difference is 78. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 178. What is the largest of them?
  8. 8.One number is 2 times another. Their difference is 5. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 84. What is the largest of them?
  10. 10.The sum of two numbers is 104 and their difference is 74. What is the larger number?
  11. 11.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  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.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  14. 14.One number is 6 times another. Their difference is 200. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 76. What is the largest of them?
  16. 16.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?
  17. 17.The sum of two numbers is 51 and their difference is 33. What is the smaller number?
  18. 18.One number is 3 times another. Their difference is 76. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  20. 20.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?
  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.One number is 2 times another. Their difference is 39. What is the smaller number?
  23. 23.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  24. 24.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  25. 25.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  26. 26.The sum of two numbers is 15 and their difference is 11. What is the smaller number?
  27. 27.The sum of 3 consecutive even numbers is 174. What is the smallest of them?
  28. 28.One number is 6 times another. Their difference is 150. What is the smaller number?
  29. 29.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  30. 30.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  31. 31.The sum of 4 consecutive numbers is 26. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of 3 consecutive numbers is 132. What is the largest of them?
  34. 34.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?
  35. 35.The sum of 4 consecutive numbers is 234. What is the largest of them?
  36. 36.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  37. 37.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?
  38. 38.The sum of 4 consecutive numbers is 246. What is the smallest of them?
  39. 39.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  40. 40.The sum of 3 consecutive numbers is 45. What is the largest of them?

Answer key

  1. 50
  2. 49
  3. 59
  4. 35
  5. 26
  6. 39
  7. 46
  8. 5
  9. 30
  10. 89
  11. 27
  12. 57
  13. 30
  14. 40
  15. 22
  16. 35
  17. 9
  18. 38
  19. 69
  20. 89
  21. 68
  22. 39
  23. 17
  24. 23
  25. 10
  26. 2
  27. 56
  28. 30
  29. 45
  30. 58
  31. 5
  32. 36
  33. 45
  34. 26
  35. 60
  36. 63
  37. 15
  38. 60
  39. 71
  40. 16

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