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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 178 · 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 3 consecutive numbers is 54. What is the smallest of them?
  2. 2.The sum of 4 consecutive even numbers is 268. What is the largest of them?
  3. 3.The sum of 4 consecutive numbers is 78. What is the largest of them?
  4. 4.One number is 5 times another. Their difference is 20. What is the smaller number?
  5. 5.The sum of 4 consecutive even numbers is 292. What is the largest of them?
  6. 6.The sum of two numbers is 144 and their difference is 10. What is the larger number?
  7. 7.The sum of two numbers is 151 and their difference is 1. What is the smaller number?
  8. 8.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 18. What is the number?
  9. 9.The sum of 3 consecutive numbers is 117. What is the largest of them?
  10. 10.One number is 3 times another. Their difference is 22. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 116. What is the largest of them?
  12. 12.One number is 4 times another. Their difference is 45. What is the smaller number?
  13. 13.The sum of 3 consecutive even numbers is 198. What is the largest of them?
  14. 14.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?
  15. 15.The sum of two numbers is 52 and their difference is 32. What is the smaller number?
  16. 16.The sum of two numbers is 122 and their difference is 12. What is the smaller number?
  17. 17.One number is 6 times another. Their difference is 95. What is the smaller number?
  18. 18.The sum of two numbers is 25 and their difference is 23. What is the larger number?
  19. 19.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  20. 20.The sum of 4 consecutive even numbers is 44. What is the smallest of them?
  21. 21.The sum of 4 consecutive odd numbers is 64. What is the largest of them?
  22. 22.The sum of 3 consecutive numbers is 63. What is the largest of them?
  23. 23.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?
  24. 24.One number is 4 times another. Their difference is 117. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 162. What is the smallest of them?
  26. 26.One number is 2 times another. Their difference is 28. What is the smaller number?
  27. 27.One number is 3 times another. Their difference is 32. What is the smaller number?
  28. 28.One number is 5 times another. Their difference is 96. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 4 consecutive numbers is 34. What is the largest of them?
  31. 31.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?
  32. 32.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  33. 33.The sum of 3 consecutive numbers is 78. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 46. What is the largest of them?
  35. 35.The sum of 3 consecutive odd numbers is 201. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 75. What is the largest of them?
  37. 37.The sum of 4 consecutive even numbers is 172. What is the smallest of them?
  38. 38.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  39. 39.The sum of 4 consecutive numbers is 202. What is the largest of them?
  40. 40.The sum of 3 consecutive even numbers is 204. What is the smallest of them?

Answer key

  1. 17
  2. 70
  3. 21
  4. 5
  5. 76
  6. 77
  7. 75
  8. 68
  9. 40
  10. 11
  11. 32
  12. 15
  13. 68
  14. 24
  15. 10
  16. 55
  17. 19
  18. 24
  19. 28
  20. 8
  21. 19
  22. 22
  23. 78
  24. 39
  25. 52
  26. 28
  27. 16
  28. 24
  29. 89
  30. 10
  31. 79
  32. 67
  33. 27
  34. 13
  35. 69
  36. 17
  37. 40
  38. 69
  39. 52
  40. 66

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