← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 573 · 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 111 and their difference is 87. What is the smaller number?
  2. 2.The sum of two numbers is 89 and their difference is 29. What is the smaller number?
  3. 3.One number is 3 times another. Their difference is 70. What is the smaller number?
  4. 4.The sum of two numbers is 41 and their difference is 3. What is the smaller number?
  5. 5.One number is 3 times another. Their difference is 20. What is the smaller number?
  6. 6.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 45. What is the number?
  7. 7.The sum of 4 consecutive odd numbers is 184. What is the smallest of them?
  8. 8.The sum of two numbers is 25 and their difference is 1. What is the larger number?
  9. 9.The sum of 4 consecutive even numbers is 116. What is the smallest of them?
  10. 10.The sum of 5 consecutive numbers is 230. What is the largest of them?
  11. 11.The sum of two numbers is 49 and their difference is 19. What is the larger number?
  12. 12.The sum of two numbers is 34 and their difference is 18. What is the smaller number?
  13. 13.The sum of 3 consecutive numbers is 96. What is the largest of them?
  14. 14.One number is 2 times another. Their difference is 28. What is the smaller number?
  15. 15.The sum of 4 consecutive even numbers is 92. What is the largest of them?
  16. 16.The sum of 3 consecutive even numbers is 132. What is the smallest of them?
  17. 17.The sum of two numbers is 18 and their difference is 2. What is the smaller number?
  18. 18.The sum of 3 consecutive numbers is 123. What is the smallest of them?
  19. 19.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  20. 20.The sum of 3 consecutive odd numbers is 213. What is the largest of them?
  21. 21.The sum of 4 consecutive even numbers is 196. What is the largest of them?
  22. 22.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?
  23. 23.One number is 2 times another. Their difference is 8. What is the smaller number?
  24. 24.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 36. What is the number?
  25. 25.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  26. 26.One number is 4 times another. Their difference is 72. What is the smaller number?
  27. 27.One number is 5 times another. Their difference is 92. What is the smaller number?
  28. 28.The sum of 4 consecutive odd numbers is 168. What is the largest of them?
  29. 29.The digits of a two-digit number add up to 16. When the digits swap places, the number goes up by 18. What is the number?
  30. 30.The sum of 3 consecutive numbers is 171. What is the smallest of them?
  31. 31.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?
  32. 32.The sum of two numbers is 85 and their difference is 1. What is the larger number?
  33. 33.The sum of 3 consecutive even numbers is 78. What is the largest of them?
  34. 34.The sum of 4 consecutive numbers is 110. What is the largest of them?
  35. 35.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  36. 36.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 138. What is the smallest of them?
  38. 38.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?
  39. 39.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?
  40. 40.The sum of 3 consecutive odd numbers is 147. What is the smallest of them?

Answer key

  1. 12
  2. 30
  3. 35
  4. 19
  5. 10
  6. 38
  7. 43
  8. 13
  9. 26
  10. 48
  11. 34
  12. 8
  13. 33
  14. 28
  15. 26
  16. 42
  17. 8
  18. 40
  19. 12
  20. 73
  21. 52
  22. 35
  23. 8
  24. 26
  25. 25
  26. 24
  27. 23
  28. 45
  29. 79
  30. 56
  31. 56
  32. 43
  33. 28
  34. 29
  35. 17
  36. 8
  37. 45
  38. 89
  39. 78
  40. 47

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