← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 299 · 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 14. When the digits swap places, the number goes up by 18. What is the number?
  2. 2.The sum of 3 consecutive numbers is 78. What is the largest of them?
  3. 3.The sum of two numbers is 114 and their difference is 22. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  5. 5.The sum of 4 consecutive even numbers is 204. What is the smallest of them?
  6. 6.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?
  7. 7.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  8. 8.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 9. What is the number?
  9. 9.The sum of two numbers is 143 and their difference is 1. What is the smaller number?
  10. 10.One number is 6 times another. Their difference is 120. What is the smaller number?
  11. 11.The sum of two numbers is 93 and their difference is 1. What is the larger number?
  12. 12.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?
  13. 13.The sum of two numbers is 101 and their difference is 77. What is the smaller number?
  14. 14.One number is 6 times another. Their difference is 60. What is the smaller number?
  15. 15.The sum of 4 consecutive numbers is 50. What is the smallest of them?
  16. 16.The sum of two numbers is 134 and their difference is 14. What is the smaller number?
  17. 17.The sum of 3 consecutive even numbers is 24. What is the largest of them?
  18. 18.One number is 5 times another. Their difference is 20. What is the smaller number?
  19. 19.One number is 4 times another. Their difference is 21. What is the smaller number?
  20. 20.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?
  21. 21.One number is 4 times another. Their difference is 96. What is the smaller number?
  22. 22.One number is 6 times another. Their difference is 130. What is the smaller number?
  23. 23.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  24. 24.The sum of 3 consecutive even numbers is 30. What is the smallest of them?
  25. 25.The sum of two numbers is 127 and their difference is 35. What is the larger number?
  26. 26.The sum of two numbers is 25 and their difference is 11. What is the larger number?
  27. 27.The sum of two numbers is 117 and their difference is 19. What is the smaller number?
  28. 28.The sum of 5 consecutive numbers is 220. What is the smallest of them?
  29. 29.The sum of 5 consecutive numbers is 235. What is the largest of them?
  30. 30.The sum of 3 consecutive even numbers is 168. What is the largest of them?
  31. 31.One number is 5 times another. Their difference is 16. What is the smaller number?
  32. 32.The sum of 4 consecutive numbers is 86. What is the largest of them?
  33. 33.One number is 3 times another. Their difference is 18. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 138. What is the largest of them?
  35. 35.One number is 3 times another. Their difference is 8. What is the smaller number?
  36. 36.The sum of two numbers is 77 and their difference is 3. What is the larger number?
  37. 37.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  38. 38.One number is 6 times another. Their difference is 180. What is the smaller number?
  39. 39.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?
  40. 40.The sum of two numbers is 30 and their difference is 8. What is the smaller number?

Answer key

  1. 68
  2. 27
  3. 46
  4. 48
  5. 48
  6. 39
  7. 69
  8. 45
  9. 71
  10. 24
  11. 47
  12. 23
  13. 12
  14. 12
  15. 11
  16. 60
  17. 10
  18. 5
  19. 7
  20. 24
  21. 32
  22. 26
  23. 21
  24. 8
  25. 81
  26. 18
  27. 49
  28. 42
  29. 49
  30. 58
  31. 4
  32. 23
  33. 9
  34. 48
  35. 4
  36. 40
  37. 67
  38. 36
  39. 89
  40. 11

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