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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 100 · 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 two numbers is 17 and their difference is 7. What is the larger number?
  2. 2.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?
  3. 3.The sum of two numbers is 127 and their difference is 71. What is the larger number?
  4. 4.The sum of 3 consecutive even numbers is 246. What is the smallest of them?
  5. 5.The sum of two numbers is 48 and their difference is 14. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 60. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 26. What is the largest of them?
  8. 8.One number is 3 times another. Their difference is 64. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 30. What is the largest of them?
  10. 10.One number is 4 times another. Their difference is 93. What is the smaller number?
  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 two numbers is 171 and their difference is 25. What is the smaller number?
  13. 13.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?
  14. 14.The sum of two numbers is 43 and their difference is 5. What is the smaller number?
  15. 15.The sum of 4 consecutive odd numbers is 160. What is the smallest of them?
  16. 16.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  17. 17.The sum of two numbers is 50 and their difference is 38. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 45. What is the smallest of them?
  19. 19.One number is 5 times another. Their difference is 28. What is the smaller number?
  20. 20.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  21. 21.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  22. 22.The sum of 3 consecutive even numbers is 42. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 75. What is the smallest of them?
  24. 24.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  25. 25.The sum of 5 consecutive numbers is 155. What is the smallest of them?
  26. 26.One number is 5 times another. Their difference is 56. What is the smaller number?
  27. 27.The sum of two numbers is 72 and their difference is 36. What is the larger number?
  28. 28.The sum of 5 consecutive numbers is 125. What is the smallest of them?
  29. 29.The sum of two numbers is 82 and their difference is 14. What is the larger number?
  30. 30.The sum of 5 consecutive numbers is 195. What is the largest of them?
  31. 31.The sum of two numbers is 20 and their difference is 12. What is the larger number?
  32. 32.The sum of 4 consecutive numbers is 114. What is the largest of them?
  33. 33.The sum of 3 consecutive numbers is 36. What is the smallest of them?
  34. 34.The sum of two numbers is 144 and their difference is 40. What is the larger number?
  35. 35.The sum of 3 consecutive odd numbers is 123. What is the largest of them?
  36. 36.One number is 5 times another. Their difference is 160. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 54. What is the largest of them?
  38. 38.The sum of 4 consecutive odd numbers is 80. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 215. What is the largest of them?
  40. 40.The sum of two numbers is 22 and their difference is 16. What is the larger number?

Answer key

  1. 12
  2. 13
  3. 99
  4. 80
  5. 17
  6. 10
  7. 8
  8. 32
  9. 9
  10. 31
  11. 89
  12. 73
  13. 12
  14. 19
  15. 37
  16. 64
  17. 6
  18. 14
  19. 7
  20. 48
  21. 29
  22. 12
  23. 24
  24. 42
  25. 29
  26. 14
  27. 54
  28. 23
  29. 48
  30. 41
  31. 16
  32. 30
  33. 11
  34. 92
  35. 43
  36. 40
  37. 20
  38. 23
  39. 45
  40. 19

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