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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 971 · 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.One number is 3 times another. Their difference is 76. What is the smaller number?
  2. 2.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?
  3. 3.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  4. 4.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  5. 5.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?
  6. 6.The sum of 4 consecutive even numbers is 100. What is the largest of them?
  7. 7.One number is 4 times another. Their difference is 45. What is the smaller number?
  8. 8.One number is 5 times another. Their difference is 12. What is the smaller number?
  9. 9.The sum of 4 consecutive odd numbers is 272. What is the largest of them?
  10. 10.The sum of 4 consecutive odd numbers is 232. What is the smallest of them?
  11. 11.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?
  12. 12.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  13. 13.The sum of 4 consecutive even numbers is 76. What is the smallest of them?
  14. 14.The sum of 4 consecutive numbers is 186. What is the smallest of them?
  15. 15.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  16. 16.The sum of two numbers is 96 and their difference is 28. What is the larger number?
  17. 17.The sum of 3 consecutive numbers is 24. What is the largest of them?
  18. 18.The sum of two numbers is 70 and their difference is 4. What is the larger number?
  19. 19.The digits of a two-digit number add up to 3. When the digits swap places, the number goes up by 9. What is the number?
  20. 20.The sum of two numbers is 17 and their difference is 15. What is the smaller number?
  21. 21.One number is 6 times another. Their difference is 175. What is the smaller number?
  22. 22.One number is 3 times another. Their difference is 46. What is the smaller number?
  23. 23.The sum of 3 consecutive even numbers is 48. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 194. What is the smallest of them?
  25. 25.The sum of two numbers is 27 and their difference is 7. What is the larger number?
  26. 26.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  27. 27.One number is 5 times another. Their difference is 76. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 192. What is the smallest of them?
  29. 29.One number is 2 times another. Their difference is 36. What is the smaller number?
  30. 30.One number is 5 times another. Their difference is 140. What is the smaller number?
  31. 31.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  32. 32.One number is 4 times another. Their difference is 90. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  34. 34.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  35. 35.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  36. 36.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?
  37. 37.The sum of two numbers is 160 and their difference is 26. What is the larger number?
  38. 38.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  39. 39.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  40. 40.One number is 3 times another. Their difference is 12. What is the smaller number?

Answer key

  1. 38
  2. 58
  3. 56
  4. 38
  5. 89
  6. 28
  7. 15
  8. 3
  9. 71
  10. 55
  11. 78
  12. 29
  13. 16
  14. 45
  15. 67
  16. 62
  17. 9
  18. 37
  19. 12
  20. 1
  21. 35
  22. 23
  23. 14
  24. 47
  25. 17
  26. 57
  27. 19
  28. 45
  29. 36
  30. 35
  31. 73
  32. 30
  33. 31
  34. 56
  35. 23
  36. 47
  37. 93
  38. 57
  39. 47
  40. 6

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