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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 435 · 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 27 and their difference is 1. What is the smaller number?
  2. 2.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?
  3. 3.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  4. 4.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  5. 5.The sum of two numbers is 101 and their difference is 79. What is the smaller number?
  6. 6.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  7. 7.The sum of 4 consecutive numbers is 106. What is the smallest of them?
  8. 8.The sum of two numbers is 116 and their difference is 22. What is the larger number?
  9. 9.The sum of 3 consecutive odd numbers is 27. What is the smallest of them?
  10. 10.One number is 5 times another. Their difference is 144. What is the smaller number?
  11. 11.The sum of 3 consecutive odd numbers is 93. What is the smallest of them?
  12. 12.The sum of 4 consecutive even numbers is 316. What is the largest of them?
  13. 13.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  14. 14.The sum of 3 consecutive even numbers is 168. What is the smallest of them?
  15. 15.The sum of 4 consecutive odd numbers is 144. What is the smallest of them?
  16. 16.The sum of 4 consecutive numbers is 178. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 135. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of 5 consecutive numbers is 140. What is the smallest of them?
  20. 20.The sum of two numbers is 18 and their difference is 6. What is the smaller number?
  21. 21.The sum of 5 consecutive numbers is 105. What is the smallest of them?
  22. 22.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  23. 23.One number is 4 times another. Their difference is 93. What is the smaller number?
  24. 24.The sum of 4 consecutive odd numbers is 320. What is the largest of them?
  25. 25.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  26. 26.The sum of 4 consecutive numbers is 110. What is the largest of them?
  27. 27.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 54. What is the number?
  28. 28.The sum of 5 consecutive numbers is 45. What is the largest of them?
  29. 29.The sum of 3 consecutive odd numbers is 39. What is the largest of them?
  30. 30.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  31. 31.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  32. 32.The sum of 4 consecutive numbers is 214. What is the largest of them?
  33. 33.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  34. 34.The sum of 5 consecutive numbers is 215. What is the largest of them?
  35. 35.The sum of 4 consecutive even numbers is 60. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  37. 37.The sum of two numbers is 156 and their difference is 18. What is the smaller number?
  38. 38.The sum of 4 consecutive odd numbers is 48. What is the smallest of them?
  39. 39.One number is 6 times another. Their difference is 25. What is the smaller number?
  40. 40.The sum of two numbers is 99 and their difference is 71. What is the smaller number?

Answer key

  1. 13
  2. 78
  3. 27
  4. 8
  5. 11
  6. 55
  7. 25
  8. 69
  9. 7
  10. 36
  11. 29
  12. 82
  13. 19
  14. 54
  15. 33
  16. 43
  17. 44
  18. 89
  19. 26
  20. 6
  21. 19
  22. 61
  23. 31
  24. 83
  25. 16
  26. 29
  27. 39
  28. 11
  29. 15
  30. 56
  31. 43
  32. 55
  33. 54
  34. 45
  35. 12
  36. 14
  37. 69
  38. 9
  39. 5
  40. 14

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