← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 904 · 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 33 and their difference is 27. What is the larger number?
  2. 2.The sum of two numbers is 13 and their difference is 9. What is the smaller number?
  3. 3.One number is 3 times another. Their difference is 46. What is the smaller number?
  4. 4.The sum of 5 consecutive numbers is 295. What is the largest of them?
  5. 5.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?
  6. 6.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  7. 7.The sum of two numbers is 74 and their difference is 18. What is the smaller number?
  8. 8.One number is 3 times another. Their difference is 52. What is the smaller number?
  9. 9.The sum of 3 consecutive numbers is 36. What is the largest of them?
  10. 10.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?
  11. 11.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 63. What is the number?
  12. 12.The sum of 3 consecutive odd numbers is 63. What is the smallest of them?
  13. 13.One number is 5 times another. Their difference is 12. What is the smaller number?
  14. 14.The sum of 4 consecutive even numbers is 68. What is the largest of them?
  15. 15.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  16. 16.One number is 2 times another. Their difference is 31. What is the smaller number?
  17. 17.One number is 5 times another. Their difference is 16. What is the smaller number?
  18. 18.The sum of two numbers is 60 and their difference is 24. What is the larger number?
  19. 19.The sum of 4 consecutive numbers is 210. What is the smallest of them?
  20. 20.The sum of 3 consecutive odd numbers is 177. What is the largest of them?
  21. 21.The sum of 4 consecutive even numbers is 228. What is the largest of them?
  22. 22.One number is 2 times another. Their difference is 3. What is the smaller number?
  23. 23.The sum of 4 consecutive numbers is 222. What is the smallest of them?
  24. 24.One number is 6 times another. Their difference is 150. What is the smaller number?
  25. 25.The sum of 5 consecutive numbers is 35. What is the largest of them?
  26. 26.The sum of 3 consecutive odd numbers is 81. What is the smallest of them?
  27. 27.The sum of 3 consecutive even numbers is 24. What is the smallest of them?
  28. 28.The sum of 5 consecutive numbers is 275. What is the smallest of them?
  29. 29.One number is 3 times another. Their difference is 16. What is the smaller number?
  30. 30.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?
  31. 31.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  32. 32.One number is 3 times another. Their difference is 12. What is the smaller number?
  33. 33.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?
  34. 34.The sum of two numbers is 77 and their difference is 9. What is the larger number?
  35. 35.The sum of two numbers is 94 and their difference is 36. What is the larger number?
  36. 36.The sum of two numbers is 113 and their difference is 43. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 70. What is the smallest of them?
  38. 38.The sum of 3 consecutive numbers is 159. What is the smallest of them?
  39. 39.The sum of two numbers is 112 and their difference is 52. What is the smaller number?
  40. 40.The sum of 3 consecutive odd numbers is 243. What is the smallest of them?

Answer key

  1. 30
  2. 2
  3. 23
  4. 61
  5. 34
  6. 21
  7. 28
  8. 26
  9. 13
  10. 58
  11. 29
  12. 19
  13. 3
  14. 20
  15. 18
  16. 31
  17. 4
  18. 42
  19. 51
  20. 61
  21. 60
  22. 3
  23. 54
  24. 30
  25. 9
  26. 25
  27. 6
  28. 53
  29. 8
  30. 89
  31. 30
  32. 6
  33. 35
  34. 43
  35. 65
  36. 35
  37. 12
  38. 52
  39. 30
  40. 79

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