← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 297 · 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 80 and their difference is 68. What is the smaller number?
  2. 2.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?
  3. 3.One number is 4 times another. Their difference is 72. What is the smaller number?
  4. 4.The sum of 3 consecutive odd numbers is 105. What is the smallest of them?
  5. 5.The sum of 3 consecutive numbers is 165. What is the smallest of them?
  6. 6.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?
  7. 7.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?
  8. 8.The sum of two numbers is 18 and their difference is 14. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 87. What is the smallest of them?
  10. 10.The sum of two numbers is 98 and their difference is 60. What is the smaller number?
  11. 11.One number is 2 times another. Their difference is 20. What is the smaller number?
  12. 12.One number is 4 times another. Their difference is 69. What is the smaller number?
  13. 13.The sum of two numbers is 24 and their difference is 4. What is the larger number?
  14. 14.The sum of 5 consecutive numbers is 180. What is the largest of them?
  15. 15.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?
  16. 16.The sum of 4 consecutive even numbers is 164. What is the smallest of them?
  17. 17.The sum of 4 consecutive odd numbers is 64. What is the smallest of them?
  18. 18.The sum of 3 consecutive numbers is 27. What is the smallest of them?
  19. 19.One number is 2 times another. Their difference is 24. What is the smaller number?
  20. 20.The sum of two numbers is 33 and their difference is 23. What is the smaller number?
  21. 21.The sum of 3 consecutive numbers is 120. What is the largest of them?
  22. 22.The sum of 5 consecutive numbers is 85. What is the smallest of them?
  23. 23.The sum of 3 consecutive numbers is 48. What is the largest of them?
  24. 24.The sum of 4 consecutive numbers is 186. What is the largest of them?
  25. 25.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  26. 26.The sum of 4 consecutive odd numbers is 240. What is the smallest of them?
  27. 27.The sum of 3 consecutive even numbers is 78. What is the smallest of them?
  28. 28.One number is 2 times another. Their difference is 30. What is the smaller number?
  29. 29.The sum of two numbers is 114 and their difference is 10. What is the smaller number?
  30. 30.One number is 3 times another. Their difference is 22. What is the smaller number?
  31. 31.One number is 6 times another. Their difference is 90. What is the smaller number?
  32. 32.The sum of two numbers is 68 and their difference is 66. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 100. What is the smaller number?
  34. 34.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  35. 35.One number is 5 times another. Their difference is 152. What is the smaller number?
  36. 36.The sum of 3 consecutive even numbers is 60. What is the largest of them?
  37. 37.One number is 6 times another. Their difference is 75. What is the smaller number?
  38. 38.The sum of two numbers is 85 and their difference is 5. What is the smaller number?
  39. 39.The sum of two numbers is 63 and their difference is 23. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 99. What is the smallest of them?

Answer key

  1. 6
  2. 45
  3. 24
  4. 33
  5. 54
  6. 67
  7. 23
  8. 2
  9. 28
  10. 19
  11. 20
  12. 23
  13. 14
  14. 38
  15. 35
  16. 38
  17. 13
  18. 8
  19. 24
  20. 5
  21. 41
  22. 15
  23. 17
  24. 48
  25. 12
  26. 57
  27. 24
  28. 30
  29. 52
  30. 11
  31. 18
  32. 1
  33. 25
  34. 31
  35. 38
  36. 22
  37. 15
  38. 40
  39. 20
  40. 31

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