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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 957 · 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 5 consecutive numbers is 215. What is the largest of them?
  2. 2.One number is 4 times another. Their difference is 108. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  4. 4.One number is 6 times another. Their difference is 45. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  6. 6.One number is 5 times another. Their difference is 28. What is the smaller number?
  7. 7.One number is 2 times another. Their difference is 29. What is the smaller number?
  8. 8.The sum of 4 consecutive odd numbers is 240. What is the largest of them?
  9. 9.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?
  10. 10.The sum of 3 consecutive odd numbers is 231. What is the smallest of them?
  11. 11.The sum of two numbers is 77 and their difference is 19. What is the smaller number?
  12. 12.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?
  13. 13.One number is 5 times another. Their difference is 32. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 78. What is the smallest of them?
  15. 15.The sum of two numbers is 62 and their difference is 48. What is the smaller number?
  16. 16.The sum of 5 consecutive numbers is 130. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  18. 18.One number is 6 times another. Their difference is 80. What is the smaller number?
  19. 19.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  20. 20.The sum of 3 consecutive numbers is 162. 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 27. What is the number?
  22. 22.The sum of 3 consecutive odd numbers is 111. What is the largest of them?
  23. 23.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  24. 24.The sum of 5 consecutive numbers is 265. What is the largest of them?
  25. 25.One number is 4 times another. Their difference is 99. What is the smaller number?
  26. 26.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?
  27. 27.One number is 2 times another. Their difference is 27. What is the smaller number?
  28. 28.The sum of 4 consecutive numbers is 150. What is the largest of them?
  29. 29.The sum of two numbers is 64 and their difference is 8. What is the smaller number?
  30. 30.The sum of 3 consecutive even numbers is 114. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of 4 consecutive even numbers is 284. What is the smallest of them?
  33. 33.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  34. 34.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?
  35. 35.The sum of 4 consecutive odd numbers is 176. What is the largest of them?
  36. 36.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  37. 37.The sum of 3 consecutive odd numbers is 75. What is the largest of them?
  38. 38.The sum of 4 consecutive numbers is 214. What is the largest of them?
  39. 39.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  40. 40.One number is 5 times another. Their difference is 40. What is the smaller number?

Answer key

  1. 45
  2. 36
  3. 78
  4. 9
  5. 48
  6. 7
  7. 29
  8. 63
  9. 34
  10. 75
  11. 29
  12. 67
  13. 8
  14. 18
  15. 7
  16. 24
  17. 46
  18. 16
  19. 52
  20. 55
  21. 69
  22. 39
  23. 32
  24. 55
  25. 33
  26. 24
  27. 27
  28. 39
  29. 28
  30. 36
  31. 23
  32. 68
  33. 40
  34. 47
  35. 47
  36. 23
  37. 27
  38. 55
  39. 20
  40. 10

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