← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 400 · 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 7. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.One number is 5 times another. Their difference is 148. What is the smaller number?
  3. 3.The sum of 5 consecutive numbers is 65. What is the smallest of them?
  4. 4.The sum of two numbers is 105 and their difference is 9. What is the smaller number?
  5. 5.The sum of 3 consecutive odd numbers is 135. What is the largest of them?
  6. 6.The sum of two numbers is 113 and their difference is 41. What is the smaller number?
  7. 7.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  8. 8.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?
  9. 9.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  10. 10.The sum of two numbers is 36 and their difference is 14. What is the smaller number?
  11. 11.The sum of 4 consecutive even numbers is 188. What is the largest of them?
  12. 12.The sum of two numbers is 14 and their difference is 10. What is the smaller number?
  13. 13.The sum of two numbers is 48 and their difference is 8. What is the smaller number?
  14. 14.The sum of 4 consecutive numbers is 238. What is the largest of them?
  15. 15.The sum of 4 consecutive odd numbers is 56. What is the smallest of them?
  16. 16.The sum of two numbers is 68 and their difference is 4. What is the smaller number?
  17. 17.The sum of two numbers is 80 and their difference is 44. What is the larger number?
  18. 18.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?
  19. 19.One number is 4 times another. Their difference is 24. What is the smaller number?
  20. 20.One number is 3 times another. Their difference is 44. What is the smaller number?
  21. 21.One number is 6 times another. Their difference is 65. What is the smaller number?
  22. 22.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  23. 23.One number is 4 times another. Their difference is 102. What is the smaller number?
  24. 24.One number is 2 times another. Their difference is 18. What is the smaller number?
  25. 25.The sum of 3 consecutive even numbers is 198. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 57. What is the largest of them?
  27. 27.The sum of two numbers is 141 and their difference is 47. What is the larger number?
  28. 28.The sum of 5 consecutive numbers is 275. What is the largest of them?
  29. 29.The sum of 4 consecutive numbers is 62. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 98. What is the largest of them?
  31. 31.The sum of two numbers is 71 and their difference is 23. What is the larger number?
  32. 32.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 90. What is the largest of them?
  34. 34.One number is 4 times another. Their difference is 87. What is the smaller number?
  35. 35.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?
  36. 36.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  37. 37.One number is 5 times another. Their difference is 160. What is the smaller number?
  38. 38.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  39. 39.One number is 3 times another. Their difference is 56. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 237. What is the largest of them?

Answer key

  1. 25
  2. 37
  3. 11
  4. 48
  5. 47
  6. 36
  7. 68
  8. 79
  9. 13
  10. 11
  11. 50
  12. 2
  13. 20
  14. 61
  15. 11
  16. 32
  17. 62
  18. 39
  19. 8
  20. 22
  21. 13
  22. 46
  23. 34
  24. 18
  25. 64
  26. 20
  27. 94
  28. 57
  29. 17
  30. 26
  31. 47
  32. 21
  33. 24
  34. 29
  35. 89
  36. 56
  37. 40
  38. 46
  39. 28
  40. 81

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude