← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 32 · 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 13. When the digits swap places, the number goes up by 27. What is the number?
  2. 2.The sum of two numbers is 85 and their difference is 39. What is the smaller number?
  3. 3.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?
  4. 4.The sum of two numbers is 107 and their difference is 1. What is the smaller number?
  5. 5.The sum of 5 consecutive numbers is 65. What is the largest of them?
  6. 6.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?
  7. 7.The sum of 4 consecutive even numbers is 100. What is the smallest of them?
  8. 8.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?
  9. 9.One number is 2 times another. Their difference is 25. What is the smaller number?
  10. 10.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?
  11. 11.One number is 4 times another. Their difference is 99. What is the smaller number?
  12. 12.One number is 4 times another. Their difference is 15. What is the smaller number?
  13. 13.One number is 2 times another. Their difference is 29. What is the smaller number?
  14. 14.The sum of 3 consecutive odd numbers is 57. What is the largest of them?
  15. 15.One number is 3 times another. Their difference is 22. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 51. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 74. What is the smallest of them?
  18. 18.One number is 6 times another. Their difference is 130. What is the smaller number?
  19. 19.The sum of 4 consecutive numbers is 154. What is the largest of them?
  20. 20.The sum of two numbers is 39 and their difference is 23. What is the larger number?
  21. 21.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  22. 22.The sum of two numbers is 29 and their difference is 1. What is the larger number?
  23. 23.The sum of 3 consecutive numbers is 72. What is the smallest of them?
  24. 24.The sum of 4 consecutive numbers is 86. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 225. What is the largest of them?
  26. 26.The sum of two numbers is 125 and their difference is 37. What is the larger number?
  27. 27.One number is 6 times another. Their difference is 135. What is the smaller number?
  28. 28.The sum of 3 consecutive numbers is 141. What is the smallest of them?
  29. 29.The sum of 3 consecutive numbers is 93. What is the largest of them?
  30. 30.The sum of 5 consecutive numbers is 80. What is the smallest of them?
  31. 31.The sum of two numbers is 35 and their difference is 33. What is the smaller number?
  32. 32.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  33. 33.The sum of two numbers is 14 and their difference is 12. What is the smaller number?
  34. 34.The sum of 5 consecutive numbers is 285. What is the smallest of them?
  35. 35.The sum of 5 consecutive numbers is 45. What is the smallest of them?
  36. 36.The sum of 5 consecutive numbers is 95. What is the largest of them?
  37. 37.The sum of two numbers is 170 and their difference is 2. What is the smaller number?
  38. 38.The sum of two numbers is 137 and their difference is 43. What is the larger number?
  39. 39.The sum of 3 consecutive numbers is 69. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?

Answer key

  1. 58
  2. 23
  3. 89
  4. 53
  5. 15
  6. 68
  7. 22
  8. 25
  9. 25
  10. 47
  11. 33
  12. 5
  13. 29
  14. 21
  15. 11
  16. 18
  17. 17
  18. 26
  19. 40
  20. 31
  21. 17
  22. 15
  23. 23
  24. 23
  25. 47
  26. 81
  27. 27
  28. 46
  29. 32
  30. 14
  31. 1
  32. 28
  33. 1
  34. 55
  35. 7
  36. 21
  37. 84
  38. 90
  39. 24
  40. 57

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