← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 891 · 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 15. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of 4 consecutive odd numbers is 208. What is the largest of them?
  3. 3.The sum of two numbers is 102 and their difference is 36. What is the larger number?
  4. 4.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  5. 5.The sum of 4 consecutive numbers is 146. What is the smallest of them?
  6. 6.One number is 5 times another. Their difference is 104. What is the smaller number?
  7. 7.The sum of two numbers is 106 and their difference is 42. What is the smaller number?
  8. 8.The sum of 3 consecutive odd numbers is 111. What is the smallest of them?
  9. 9.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  10. 10.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  11. 11.The sum of two numbers is 67 and their difference is 33. What is the larger number?
  12. 12.The sum of 4 consecutive numbers is 70. What is the largest of them?
  13. 13.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?
  14. 14.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?
  15. 15.The sum of two numbers is 78 and their difference is 38. What is the larger number?
  16. 16.The sum of 5 consecutive numbers is 310. What is the largest of them?
  17. 17.The sum of 3 consecutive odd numbers is 39. What is the smallest of them?
  18. 18.One number is 4 times another. Their difference is 39. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 174. What is the largest of them?
  20. 20.The sum of 4 consecutive odd numbers is 248. What is the largest of them?
  21. 21.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?
  22. 22.The sum of two numbers is 87 and their difference is 9. What is the smaller number?
  23. 23.The sum of 3 consecutive even numbers is 234. What is the largest of them?
  24. 24.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  25. 25.The sum of two numbers is 121 and their difference is 63. What is the smaller number?
  26. 26.The sum of two numbers is 23 and their difference is 19. What is the smaller number?
  27. 27.One number is 2 times another. Their difference is 32. What is the smaller number?
  28. 28.One number is 2 times another. Their difference is 16. What is the smaller number?
  29. 29.The sum of two numbers is 59 and their difference is 29. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  31. 31.The sum of 4 consecutive numbers is 246. What is the largest of them?
  32. 32.One number is 4 times another. Their difference is 84. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 237. What is the smallest of them?
  34. 34.The sum of 4 consecutive numbers is 154. What is the smallest of them?
  35. 35.The sum of 4 consecutive even numbers is 108. What is the largest of them?
  36. 36.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 18. What is the number?
  37. 37.The sum of two numbers is 138 and their difference is 8. What is the larger number?
  38. 38.The sum of 4 consecutive numbers is 82. What is the largest of them?
  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 4 consecutive odd numbers is 64. What is the smallest of them?

Answer key

  1. 69
  2. 55
  3. 69
  4. 15
  5. 35
  6. 26
  7. 32
  8. 35
  9. 15
  10. 28
  11. 50
  12. 19
  13. 28
  14. 48
  15. 58
  16. 64
  17. 11
  18. 13
  19. 45
  20. 65
  21. 67
  22. 39
  23. 80
  24. 68
  25. 29
  26. 2
  27. 32
  28. 16
  29. 15
  30. 14
  31. 63
  32. 28
  33. 77
  34. 37
  35. 30
  36. 35
  37. 73
  38. 22
  39. 89
  40. 13

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