← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 962 · 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 23 and their difference is 19. What is the smaller number?
  2. 2.The sum of two numbers is 101 and their difference is 15. What is the larger number?
  3. 3.The sum of two numbers is 103 and their difference is 17. What is the smaller number?
  4. 4.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  5. 5.The sum of 3 consecutive numbers is 105. What is the largest of them?
  6. 6.The sum of 3 consecutive odd numbers is 63. What is the largest of them?
  7. 7.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?
  8. 8.One number is 6 times another. Their difference is 110. What is the smaller number?
  9. 9.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?
  10. 10.The sum of 5 consecutive numbers is 190. What is the largest of them?
  11. 11.The sum of 3 consecutive numbers is 63. What is the smallest of them?
  12. 12.One number is 6 times another. Their difference is 175. What is the smaller number?
  13. 13.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?
  14. 14.The sum of two numbers is 193 and their difference is 5. What is the smaller number?
  15. 15.The sum of 5 consecutive numbers is 135. What is the largest of them?
  16. 16.One number is 2 times another. Their difference is 33. What is the smaller number?
  17. 17.The sum of 4 consecutive numbers is 86. What is the smallest of them?
  18. 18.One number is 3 times another. Their difference is 6. What is the smaller number?
  19. 19.The sum of two numbers is 52 and their difference is 10. What is the smaller number?
  20. 20.The sum of 5 consecutive numbers is 235. What is the smallest of them?
  21. 21.The sum of two numbers is 109 and their difference is 19. What is the larger number?
  22. 22.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 72. What is the number?
  23. 23.One number is 2 times another. Their difference is 14. What is the smaller number?
  24. 24.The sum of 3 consecutive even numbers is 210. What is the smallest of them?
  25. 25.The sum of 3 consecutive even numbers is 102. What is the smallest of them?
  26. 26.One number is 5 times another. Their difference is 128. What is the smaller number?
  27. 27.The sum of two numbers is 99 and their difference is 21. What is the smaller number?
  28. 28.One number is 6 times another. Their difference is 65. What is the smaller number?
  29. 29.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?
  30. 30.The sum of 4 consecutive numbers is 34. What is the smallest of them?
  31. 31.The sum of 3 consecutive odd numbers is 213. What is the smallest of them?
  32. 32.The sum of two numbers is 101 and their difference is 17. What is the smaller number?
  33. 33.The sum of 3 consecutive odd numbers is 195. What is the smallest of them?
  34. 34.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?
  35. 35.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  36. 36.The sum of 3 consecutive even numbers is 90. What is the smallest of them?
  37. 37.The sum of two numbers is 139 and their difference is 29. What is the smaller number?
  38. 38.The sum of 5 consecutive numbers is 165. What is the largest of them?
  39. 39.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  40. 40.One number is 2 times another. Their difference is 6. What is the smaller number?

Answer key

  1. 2
  2. 58
  3. 43
  4. 28
  5. 36
  6. 23
  7. 78
  8. 22
  9. 49
  10. 40
  11. 20
  12. 35
  13. 23
  14. 94
  15. 29
  16. 33
  17. 20
  18. 3
  19. 21
  20. 45
  21. 64
  22. 19
  23. 14
  24. 68
  25. 32
  26. 32
  27. 39
  28. 13
  29. 34
  30. 7
  31. 69
  32. 42
  33. 63
  34. 58
  35. 13
  36. 28
  37. 55
  38. 35
  39. 54
  40. 6

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