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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 771 · 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 2 times another. Their difference is 21. What is the smaller number?
  2. 2.One number is 6 times another. Their difference is 35. What is the smaller number?
  3. 3.One number is 6 times another. Their difference is 130. What is the smaller number?
  4. 4.The sum of two numbers is 83 and their difference is 21. What is the larger number?
  5. 5.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  6. 6.One number is 2 times another. Their difference is 31. What is the smaller number?
  7. 7.One number is 3 times another. Their difference is 22. What is the smaller number?
  8. 8.One number is 2 times another. Their difference is 17. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 96. What is the smallest of them?
  10. 10.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?
  11. 11.The sum of two numbers is 40 and their difference is 8. What is the larger number?
  12. 12.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  13. 13.The sum of 3 consecutive even numbers is 42. What is the largest of them?
  14. 14.The sum of 4 consecutive odd numbers is 96. What is the largest of them?
  15. 15.The sum of two numbers is 22 and their difference is 4. What is the larger number?
  16. 16.The sum of 4 consecutive numbers is 150. What is the smallest of them?
  17. 17.One number is 4 times another. Their difference is 93. What is the smaller number?
  18. 18.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  19. 19.The sum of 3 consecutive even numbers is 60. What is the smallest of them?
  20. 20.The sum of two numbers is 11 and their difference is 9. What is the larger number?
  21. 21.The sum of 3 consecutive numbers is 138. What is the largest of them?
  22. 22.The sum of 4 consecutive numbers is 206. What is the smallest of them?
  23. 23.One number is 4 times another. Their difference is 105. What is the smaller number?
  24. 24.The sum of 4 consecutive numbers is 82. What is the largest of them?
  25. 25.The sum of two numbers is 165 and their difference is 7. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 37. What is the smaller number?
  27. 27.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 63. What is the largest of them?
  30. 30.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  31. 31.The sum of 3 consecutive even numbers is 114. What is the largest of them?
  32. 32.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?
  33. 33.One number is 5 times another. Their difference is 28. What is the smaller number?
  34. 34.The sum of 4 consecutive numbers is 218. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  36. 36.The sum of 4 consecutive numbers is 86. What is the largest of them?
  37. 37.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  38. 38.The sum of 4 consecutive odd numbers is 280. What is the largest of them?
  39. 39.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 132. What is the smallest of them?

Answer key

  1. 21
  2. 7
  3. 26
  4. 52
  5. 19
  6. 31
  7. 11
  8. 17
  9. 30
  10. 48
  11. 24
  12. 77
  13. 16
  14. 27
  15. 13
  16. 36
  17. 31
  18. 46
  19. 18
  20. 10
  21. 47
  22. 50
  23. 35
  24. 22
  25. 79
  26. 37
  27. 9
  28. 16
  29. 22
  30. 23
  31. 40
  32. 35
  33. 7
  34. 53
  35. 56
  36. 23
  37. 50
  38. 73
  39. 7
  40. 43

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