← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 88 · 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 6 times another. Their difference is 45. What is the smaller number?
  2. 2.The sum of 4 consecutive numbers is 174. What is the largest of them?
  3. 3.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?
  4. 4.The sum of two numbers is 154 and their difference is 14. What is the smaller number?
  5. 5.One number is 3 times another. Their difference is 68. What is the smaller number?
  6. 6.The sum of 3 consecutive numbers is 81. What is the smallest of them?
  7. 7.The sum of 3 consecutive numbers is 78. What is the smallest of them?
  8. 8.The sum of 3 consecutive numbers is 84. What is the largest of them?
  9. 9.The sum of 3 consecutive numbers is 117. What is the smallest of them?
  10. 10.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?
  11. 11.One number is 4 times another. Their difference is 75. What is the smaller number?
  12. 12.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?
  13. 13.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  14. 14.The sum of two numbers is 120 and their difference is 42. What is the smaller number?
  15. 15.The sum of two numbers is 135 and their difference is 21. What is the larger number?
  16. 16.The sum of 3 consecutive numbers is 54. What is the smallest of them?
  17. 17.The sum of 3 consecutive numbers is 162. What is the smallest of them?
  18. 18.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?
  19. 19.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?
  20. 20.One number is 2 times another. Their difference is 19. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 24. What is the smallest of them?
  22. 22.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?
  23. 23.The sum of 4 consecutive odd numbers is 72. What is the largest of them?
  24. 24.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  25. 25.One number is 5 times another. Their difference is 20. What is the smaller number?
  26. 26.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  27. 27.The sum of 4 consecutive odd numbers is 336. What is the smallest of them?
  28. 28.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 63. What is the largest of them?
  30. 30.The sum of 4 consecutive numbers is 58. What is the largest of them?
  31. 31.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?
  32. 32.One number is 4 times another. Their difference is 39. What is the smaller number?
  33. 33.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  34. 34.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  35. 35.The sum of 4 consecutive odd numbers is 216. What is the largest of them?
  36. 36.One number is 2 times another. Their difference is 30. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 206. What is the largest of them?
  38. 38.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?
  39. 39.The sum of 3 consecutive numbers is 51. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 9. What is the number?

Answer key

  1. 9
  2. 45
  3. 78
  4. 70
  5. 34
  6. 26
  7. 25
  8. 29
  9. 38
  10. 67
  11. 25
  12. 46
  13. 22
  14. 39
  15. 78
  16. 17
  17. 53
  18. 38
  19. 56
  20. 19
  21. 7
  22. 29
  23. 21
  24. 27
  25. 5
  26. 12
  27. 81
  28. 26
  29. 22
  30. 16
  31. 23
  32. 13
  33. 32
  34. 36
  35. 57
  36. 30
  37. 53
  38. 89
  39. 18
  40. 34

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