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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 150 · 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 8. When the digits swap places, the number goes up by 54. What is the number?
  2. 2.The sum of 5 consecutive numbers is 285. What is the largest of them?
  3. 3.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?
  4. 4.The sum of 4 consecutive numbers is 34. What is the largest of them?
  5. 5.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  6. 6.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  7. 7.The sum of 5 consecutive numbers is 135. What is the largest of them?
  8. 8.The sum of 3 consecutive numbers is 159. What is the largest of them?
  9. 9.The sum of two numbers is 46 and their difference is 20. What is the smaller number?
  10. 10.The sum of 4 consecutive even numbers is 52. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 170. What is the largest of them?
  12. 12.The sum of two numbers is 11 and their difference is 9. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 225. What is the smallest of them?
  14. 14.The sum of 4 consecutive even numbers is 172. What is the largest of them?
  15. 15.The sum of 3 consecutive numbers is 21. What is the largest of them?
  16. 16.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  17. 17.The sum of two numbers is 88 and their difference is 14. What is the larger number?
  18. 18.The sum of 4 consecutive numbers is 58. What is the smallest of them?
  19. 19.The sum of 3 consecutive numbers is 174. What is the smallest of them?
  20. 20.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  21. 21.The sum of two numbers is 144 and their difference is 28. What is the larger number?
  22. 22.One number is 5 times another. Their difference is 148. What is the smaller number?
  23. 23.The sum of 4 consecutive even numbers is 140. What is the largest of them?
  24. 24.One number is 3 times another. Their difference is 76. What is the smaller number?
  25. 25.The sum of two numbers is 27 and their difference is 23. What is the smaller number?
  26. 26.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  27. 27.One number is 5 times another. Their difference is 32. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 132. What is the smaller number?
  29. 29.The sum of two numbers is 30 and their difference is 6. What is the smaller number?
  30. 30.One number is 3 times another. Their difference is 32. What is the smaller number?
  31. 31.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  32. 32.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?
  33. 33.The sum of 3 consecutive even numbers is 120. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 100. What is the smallest of them?
  35. 35.The sum of 3 consecutive even numbers is 174. What is the largest of them?
  36. 36.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  37. 37.The sum of two numbers is 73 and their difference is 3. What is the smaller number?
  38. 38.The sum of two numbers is 106 and their difference is 12. What is the larger number?
  39. 39.The sum of 4 consecutive odd numbers is 304. What is the largest of them?
  40. 40.The sum of 5 consecutive numbers is 105. What is the largest of them?

Answer key

  1. 17
  2. 59
  3. 35
  4. 10
  5. 17
  6. 43
  7. 29
  8. 54
  9. 13
  10. 16
  11. 36
  12. 1
  13. 73
  14. 46
  15. 8
  16. 18
  17. 51
  18. 13
  19. 57
  20. 13
  21. 86
  22. 37
  23. 38
  24. 38
  25. 2
  26. 22
  27. 8
  28. 33
  29. 12
  30. 16
  31. 80
  32. 89
  33. 42
  34. 18
  35. 60
  36. 46
  37. 35
  38. 59
  39. 79
  40. 23

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