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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 87 · 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 13. What is the larger number?
  2. 2.The sum of two numbers is 95 and their difference is 9. What is the larger number?
  3. 3.The sum of 4 consecutive numbers is 78. What is the largest of them?
  4. 4.The sum of 4 consecutive numbers is 126. What is the largest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive odd numbers is 69. What is the smallest of them?
  7. 7.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?
  8. 8.The sum of two numbers is 27 and their difference is 17. What is the larger number?
  9. 9.The sum of 3 consecutive odd numbers is 81. What is the largest of them?
  10. 10.One number is 6 times another. Their difference is 120. What is the smaller number?
  11. 11.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  12. 12.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  13. 13.The sum of 4 consecutive odd numbers is 296. What is the largest of them?
  14. 14.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  15. 15.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  16. 16.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?
  17. 17.One number is 6 times another. Their difference is 125. What is the smaller number?
  18. 18.The sum of 3 consecutive even numbers is 132. What is the largest of them?
  19. 19.The sum of 4 consecutive numbers is 126. What is the smallest of them?
  20. 20.One number is 2 times another. Their difference is 10. What is the smaller number?
  21. 21.The sum of 4 consecutive even numbers is 164. What is the largest of them?
  22. 22.The sum of two numbers is 89 and their difference is 3. What is the smaller number?
  23. 23.The sum of 5 consecutive numbers is 135. What is the largest of them?
  24. 24.One number is 2 times another. Their difference is 14. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 120. What is the smallest of them?
  26. 26.The sum of two numbers is 60 and their difference is 8. What is the smaller number?
  27. 27.The sum of 5 consecutive numbers is 100. What is the largest of them?
  28. 28.The sum of 3 consecutive odd numbers is 129. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 27. What is the number?
  30. 30.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?
  31. 31.The sum of two numbers is 115 and their difference is 73. What is the smaller number?
  32. 32.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  33. 33.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 150. What is the largest of them?
  35. 35.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?
  36. 36.The sum of two numbers is 116 and their difference is 6. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  38. 38.The sum of two numbers is 43 and their difference is 17. What is the smaller number?
  39. 39.The sum of two numbers is 109 and their difference is 3. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 219. What is the largest of them?

Answer key

  1. 15
  2. 52
  3. 21
  4. 33
  5. 45
  6. 21
  7. 36
  8. 22
  9. 29
  10. 24
  11. 79
  12. 6
  13. 77
  14. 56
  15. 54
  16. 67
  17. 25
  18. 46
  19. 30
  20. 10
  21. 44
  22. 43
  23. 29
  24. 14
  25. 38
  26. 26
  27. 22
  28. 45
  29. 58
  30. 29
  31. 21
  32. 14
  33. 73
  34. 32
  35. 17
  36. 55
  37. 52
  38. 13
  39. 53
  40. 75

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