← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 643 · 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 4 consecutive even numbers is 148. What is the largest of them?
  2. 2.The sum of 3 consecutive odd numbers is 249. What is the largest of them?
  3. 3.The sum of two numbers is 68 and their difference is 28. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?
  5. 5.The sum of two numbers is 122 and their difference is 4. What is the larger number?
  6. 6.One number is 2 times another. Their difference is 14. What is the smaller number?
  7. 7.One number is 3 times another. Their difference is 8. What is the smaller number?
  8. 8.The sum of 3 consecutive numbers is 33. What is the smallest of them?
  9. 9.The sum of 3 consecutive odd numbers is 177. What is the smallest of them?
  10. 10.One number is 3 times another. Their difference is 50. What is the smaller number?
  11. 11.The sum of two numbers is 83 and their difference is 49. What is the smaller number?
  12. 12.The sum of two numbers is 74 and their difference is 8. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 153. What is the largest of them?
  14. 14.The sum of two numbers is 31 and their difference is 1. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 84. What is the smallest of them?
  16. 16.The sum of two numbers is 112 and their difference is 32. What is the smaller number?
  17. 17.The sum of 3 consecutive numbers is 42. What is the smallest of them?
  18. 18.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?
  19. 19.The sum of two numbers is 68 and their difference is 42. What is the larger number?
  20. 20.The sum of 3 consecutive numbers is 174. What is the largest of them?
  21. 21.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  22. 22.One number is 6 times another. Their difference is 110. What is the smaller number?
  23. 23.The sum of two numbers is 178 and their difference is 10. What is the smaller number?
  24. 24.The sum of two numbers is 154 and their difference is 2. What is the larger number?
  25. 25.One number is 5 times another. Their difference is 48. What is the smaller number?
  26. 26.One number is 2 times another. Their difference is 27. What is the smaller number?
  27. 27.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  28. 28.The sum of two numbers is 66 and their difference is 10. What is the smaller number?
  29. 29.The sum of 4 consecutive even numbers is 324. What is the smallest of them?
  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 even numbers is 114. What is the smallest of them?
  32. 32.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 18. What is the number?
  33. 33.The sum of two numbers is 62 and their difference is 60. What is the smaller number?
  34. 34.The sum of two numbers is 48 and their difference is 10. What is the smaller number?
  35. 35.The sum of 4 consecutive odd numbers is 272. What is the smallest of them?
  36. 36.The digits of a two-digit number add up to 15. When the digits swap places, the number goes up by 27. What is the number?
  37. 37.One number is 4 times another. Their difference is 90. What is the smaller number?
  38. 38.The sum of 4 consecutive even numbers is 220. What is the smallest of them?
  39. 39.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?
  40. 40.The sum of two numbers is 64 and their difference is 40. What is the smaller number?

Answer key

  1. 40
  2. 85
  3. 20
  4. 18
  5. 63
  6. 14
  7. 4
  8. 10
  9. 57
  10. 25
  11. 17
  12. 33
  13. 52
  14. 15
  15. 18
  16. 40
  17. 13
  18. 19
  19. 55
  20. 59
  21. 73
  22. 22
  23. 84
  24. 78
  25. 12
  26. 27
  27. 40
  28. 28
  29. 78
  30. 89
  31. 36
  32. 24
  33. 1
  34. 19
  35. 65
  36. 69
  37. 30
  38. 52
  39. 56
  40. 12

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