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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 503 · 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 4 consecutive numbers is 246. What is the largest of them?
  2. 2.One number is 2 times another. Their difference is 16. What is the smaller number?
  3. 3.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 27. What is the number?
  4. 4.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  5. 5.The sum of two numbers is 35 and their difference is 15. What is the larger number?
  6. 6.The sum of two numbers is 95 and their difference is 69. What is the smaller number?
  7. 7.One number is 3 times another. Their difference is 76. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 171. What is the smallest of them?
  9. 9.The sum of 5 consecutive numbers is 305. What is the smallest of them?
  10. 10.One number is 2 times another. Their difference is 14. What is the smaller number?
  11. 11.The sum of 3 consecutive numbers is 78. What is the largest of them?
  12. 12.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?
  13. 13.The sum of 4 consecutive numbers is 186. What is the largest of them?
  14. 14.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  15. 15.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 260. What is the largest of them?
  18. 18.The sum of two numbers is 19 and their difference is 3. What is the larger number?
  19. 19.The sum of 4 consecutive odd numbers is 160. What is the largest of them?
  20. 20.The sum of two numbers is 91 and their difference is 27. What is the smaller number?
  21. 21.One number is 3 times another. Their difference is 28. What is the smaller number?
  22. 22.One number is 4 times another. Their difference is 84. What is the smaller number?
  23. 23.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?
  24. 24.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  25. 25.One number is 6 times another. Their difference is 70. What is the smaller number?
  26. 26.The sum of two numbers is 21 and their difference is 7. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 144. What is the smallest of them?
  28. 28.The sum of two numbers is 137 and their difference is 11. What is the larger number?
  29. 29.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  30. 30.The sum of 4 consecutive odd numbers is 88. What is the smallest of them?
  31. 31.The sum of 5 consecutive numbers is 70. What is the largest of them?
  32. 32.The sum of 4 consecutive numbers is 98. What is the smallest of them?
  33. 33.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  34. 34.The sum of 5 consecutive numbers is 270. What is the smallest of them?
  35. 35.One number is 4 times another. Their difference is 24. What is the smaller number?
  36. 36.The sum of 4 consecutive even numbers is 236. What is the smallest of them?
  37. 37.The sum of 5 consecutive numbers is 245. What is the largest of them?
  38. 38.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  39. 39.The sum of 5 consecutive numbers is 250. What is the smallest of them?
  40. 40.The sum of 3 consecutive numbers is 87. What is the largest of them?

Answer key

  1. 63
  2. 16
  3. 47
  4. 41
  5. 25
  6. 13
  7. 38
  8. 55
  9. 59
  10. 14
  11. 27
  12. 78
  13. 48
  14. 61
  15. 24
  16. 35
  17. 54
  18. 11
  19. 43
  20. 32
  21. 14
  22. 28
  23. 58
  24. 11
  25. 14
  26. 7
  27. 47
  28. 74
  29. 43
  30. 19
  31. 16
  32. 23
  33. 45
  34. 52
  35. 8
  36. 56
  37. 51
  38. 21
  39. 48
  40. 30

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