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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 370 · 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 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?
  2. 2.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  3. 3.One number is 2 times another. Their difference is 24. What is the smaller number?
  4. 4.The sum of two numbers is 22 and their difference is 8. What is the smaller number?
  5. 5.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  6. 6.One number is 3 times another. Their difference is 76. What is the smaller number?
  7. 7.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?
  8. 8.The sum of two numbers is 71 and their difference is 35. What is the smaller number?
  9. 9.One number is 6 times another. Their difference is 75. What is the smaller number?
  10. 10.One number is 4 times another. Their difference is 63. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 50. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 162. What is the smallest of them?
  13. 13.The sum of two numbers is 50 and their difference is 36. What is the larger number?
  14. 14.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  15. 15.The sum of 4 consecutive numbers is 174. What is the smallest of them?
  16. 16.The sum of two numbers is 163 and their difference is 15. What is the smaller number?
  17. 17.The sum of 4 consecutive even numbers is 276. What is the smallest of them?
  18. 18.The sum of 3 consecutive even numbers is 156. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  20. 20.The sum of 4 consecutive numbers is 214. What is the smallest of them?
  21. 21.One number is 6 times another. Their difference is 90. What is the smaller number?
  22. 22.The sum of 4 consecutive numbers is 126. What is the largest of them?
  23. 23.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?
  24. 24.The sum of two numbers is 83 and their difference is 55. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 108. What is the largest 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 45. What is the number?
  27. 27.The sum of 3 consecutive odd numbers is 141. What is the largest of them?
  28. 28.The sum of 5 consecutive numbers is 120. What is the smallest of them?
  29. 29.One number is 6 times another. Their difference is 20. What is the smaller number?
  30. 30.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  31. 31.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 9. What is the number?
  32. 32.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?
  33. 33.One number is 2 times another. Their difference is 4. What is the smaller number?
  34. 34.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  35. 35.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  36. 36.The sum of two numbers is 145 and their difference is 39. What is the smaller number?
  37. 37.One number is 4 times another. Their difference is 114. What is the smaller number?
  38. 38.One number is 4 times another. Their difference is 99. What is the smaller number?
  39. 39.The sum of 4 consecutive odd numbers is 328. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 126. What is the largest of them?

Answer key

  1. 89
  2. 18
  3. 24
  4. 7
  5. 19
  6. 38
  7. 17
  8. 18
  9. 15
  10. 21
  11. 12
  12. 39
  13. 43
  14. 41
  15. 42
  16. 74
  17. 66
  18. 50
  19. 26
  20. 52
  21. 18
  22. 33
  23. 13
  24. 69
  25. 37
  26. 16
  27. 49
  28. 22
  29. 4
  30. 20
  31. 78
  32. 24
  33. 4
  34. 21
  35. 7
  36. 53
  37. 38
  38. 33
  39. 79
  40. 43

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