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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 11 · 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 60. What is the smallest of them?
  2. 2.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  3. 3.The sum of 3 consecutive numbers is 27. What is the largest of them?
  4. 4.One number is 4 times another. Their difference is 84. What is the smaller number?
  5. 5.The sum of 3 consecutive even numbers is 150. What is the largest of them?
  6. 6.The sum of 5 consecutive numbers is 310. What is the smallest of them?
  7. 7.The sum of two numbers is 85 and their difference is 31. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 138. What is the largest of them?
  9. 9.The sum of 4 consecutive numbers is 238. What is the smallest of them?
  10. 10.The sum of 3 consecutive odd numbers is 117. What is the smallest of them?
  11. 11.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?
  12. 12.The sum of 3 consecutive numbers is 171. What is the largest of them?
  13. 13.The sum of 4 consecutive odd numbers is 248. What is the smallest of them?
  14. 14.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  15. 15.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?
  16. 16.The sum of two numbers is 56 and their difference is 2. What is the larger number?
  17. 17.The sum of 3 consecutive numbers is 33. What is the largest of them?
  18. 18.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  19. 19.The sum of two numbers is 22 and their difference is 6. What is the smaller number?
  20. 20.The sum of 3 consecutive odd numbers is 159. What is the smallest of them?
  21. 21.One number is 3 times another. Their difference is 26. What is the smaller number?
  22. 22.One number is 4 times another. Their difference is 63. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 54. What is the largest of them?
  24. 24.The sum of two numbers is 99 and their difference is 5. What is the smaller number?
  25. 25.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of 3 consecutive odd numbers is 75. What is the smallest of them?
  28. 28.One number is 5 times another. Their difference is 88. What is the smaller number?
  29. 29.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  30. 30.The sum of two numbers is 104 and their difference is 28. What is the larger number?
  31. 31.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  32. 32.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  33. 33.The sum of 4 consecutive odd numbers is 40. What is the largest of them?
  34. 34.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?
  35. 35.The sum of two numbers is 112 and their difference is 48. What is the larger number?
  36. 36.The sum of 4 consecutive odd numbers is 304. What is the smallest of them?
  37. 37.The sum of 4 consecutive even numbers is 148. What is the largest of them?
  38. 38.The sum of two numbers is 64 and their difference is 36. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 152. What is the smaller number?
  40. 40.The sum of two numbers is 39 and their difference is 35. What is the larger number?

Answer key

  1. 10
  2. 57
  3. 10
  4. 28
  5. 52
  6. 60
  7. 27
  8. 47
  9. 58
  10. 37
  11. 89
  12. 58
  13. 59
  14. 25
  15. 29
  16. 29
  17. 12
  18. 24
  19. 8
  20. 51
  21. 13
  22. 21
  23. 15
  24. 47
  25. 13
  26. 34
  27. 23
  28. 22
  29. 80
  30. 66
  31. 57
  32. 53
  33. 13
  34. 67
  35. 80
  36. 73
  37. 40
  38. 14
  39. 38
  40. 37

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