← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 933 · 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 sum of two numbers is 15 and their difference is 5. What is the smaller number?
  2. 2.The sum of two numbers is 14 and their difference is 10. What is the smaller number?
  3. 3.The sum of 4 consecutive even numbers is 36. What is the smallest of them?
  4. 4.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?
  5. 5.One number is 2 times another. Their difference is 33. What is the smaller number?
  6. 6.One number is 4 times another. Their difference is 114. What is the smaller number?
  7. 7.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?
  8. 8.The sum of two numbers is 132 and their difference is 32. What is the smaller number?
  9. 9.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 260. What is the smallest of them?
  11. 11.The sum of two numbers is 71 and their difference is 5. What is the larger number?
  12. 12.The sum of 4 consecutive odd numbers is 104. What is the smallest of them?
  13. 13.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  14. 14.The sum of 5 consecutive numbers is 115. What is the largest of them?
  15. 15.The sum of two numbers is 25 and their difference is 1. What is the smaller number?
  16. 16.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?
  17. 17.The sum of 4 consecutive numbers is 94. What is the smallest of them?
  18. 18.The sum of two numbers is 85 and their difference is 69. What is the larger number?
  19. 19.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?
  20. 20.One number is 6 times another. Their difference is 185. What is the smaller number?
  21. 21.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  22. 22.One number is 3 times another. Their difference is 78. What is the smaller number?
  23. 23.The sum of two numbers is 135 and their difference is 1. What is the smaller number?
  24. 24.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?
  25. 25.The sum of two numbers is 35 and their difference is 23. What is the larger number?
  26. 26.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  27. 27.The digits of a two-digit number add up to 14. When the digits swap places, the number goes up by 36. What is the number?
  28. 28.The sum of two numbers is 68 and their difference is 8. What is the smaller number?
  29. 29.The sum of two numbers is 58 and their difference is 26. What is the larger number?
  30. 30.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?
  31. 31.One number is 6 times another. Their difference is 170. What is the smaller number?
  32. 32.The sum of two numbers is 75 and their difference is 13. What is the smaller number?
  33. 33.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?
  34. 34.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?
  35. 35.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?
  36. 36.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?
  37. 37.The sum of 4 consecutive numbers is 82. What is the largest of them?
  38. 38.The sum of two numbers is 69 and their difference is 19. What is the smaller number?
  39. 39.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  40. 40.The sum of two numbers is 140 and their difference is 10. What is the smaller number?

Answer key

  1. 5
  2. 2
  3. 6
  4. 46
  5. 33
  6. 38
  7. 28
  8. 50
  9. 24
  10. 50
  11. 38
  12. 23
  13. 45
  14. 25
  15. 12
  16. 78
  17. 22
  18. 77
  19. 89
  20. 37
  21. 43
  22. 39
  23. 67
  24. 48
  25. 29
  26. 14
  27. 59
  28. 30
  29. 42
  30. 68
  31. 34
  32. 31
  33. 14
  34. 12
  35. 58
  36. 36
  37. 22
  38. 25
  39. 49
  40. 65

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