← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 561 · 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 97 and their difference is 85. What is the smaller number?
  2. 2.One number is 6 times another. Their difference is 130. What is the smaller number?
  3. 3.The sum of two numbers is 56 and their difference is 52. What is the larger number?
  4. 4.The sum of 4 consecutive numbers is 222. What is the largest of them?
  5. 5.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?
  6. 6.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  7. 7.The sum of two numbers is 34 and their difference is 12. What is the smaller number?
  8. 8.The sum of two numbers is 47 and their difference is 43. What is the smaller number?
  9. 9.The sum of two numbers is 119 and their difference is 67. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 75. What is the largest of them?
  11. 11.The sum of two numbers is 12 and their difference is 8. What is the smaller number?
  12. 12.One number is 3 times another. Their difference is 62. What is the smaller number?
  13. 13.The sum of 3 consecutive odd numbers is 117. What is the largest of them?
  14. 14.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?
  15. 15.The sum of 5 consecutive numbers is 185. What is the smallest of them?
  16. 16.The sum of 5 consecutive numbers is 55. What is the smallest of them?
  17. 17.The sum of 3 consecutive even numbers is 72. What is the smallest of them?
  18. 18.The sum of 4 consecutive odd numbers is 120. What is the smallest of them?
  19. 19.The sum of 5 consecutive numbers is 215. What is the smallest of them?
  20. 20.The sum of 4 consecutive even numbers is 244. What is the largest of them?
  21. 21.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?
  22. 22.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  23. 23.The sum of 4 consecutive odd numbers is 112. What is the smallest of them?
  24. 24.One number is 5 times another. Their difference is 92. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 160. What is the largest of them?
  26. 26.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?
  27. 27.The sum of 3 consecutive odd numbers is 159. What is the largest of them?
  28. 28.The sum of 4 consecutive numbers is 46. What is the largest of them?
  29. 29.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  30. 30.The sum of 3 consecutive numbers is 27. What is the largest of them?
  31. 31.The sum of 5 consecutive numbers is 170. What is the smallest of them?
  32. 32.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?
  33. 33.The sum of two numbers is 18 and their difference is 16. What is the larger number?
  34. 34.The sum of 4 consecutive odd numbers is 256. What is the largest of them?
  35. 35.One number is 5 times another. Their difference is 136. What is the smaller number?
  36. 36.One number is 5 times another. Their difference is 88. What is the smaller number?
  37. 37.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  38. 38.One number is 6 times another. Their difference is 80. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 40. What is the smaller number?
  40. 40.The sum of 4 consecutive numbers is 166. What is the smallest of them?

Answer key

  1. 6
  2. 26
  3. 54
  4. 57
  5. 89
  6. 18
  7. 11
  8. 2
  9. 26
  10. 26
  11. 2
  12. 31
  13. 41
  14. 34
  15. 35
  16. 9
  17. 22
  18. 27
  19. 41
  20. 64
  21. 27
  22. 45
  23. 25
  24. 23
  25. 34
  26. 56
  27. 55
  28. 13
  29. 30
  30. 10
  31. 32
  32. 59
  33. 17
  34. 67
  35. 34
  36. 22
  37. 24
  38. 16
  39. 10
  40. 40

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