← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 908 · 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 92 and their difference is 58. What is the smaller number?
  2. 2.The sum of two numbers is 31 and their difference is 23. What is the larger number?
  3. 3.The sum of 5 consecutive numbers is 265. What is the largest of them?
  4. 4.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?
  5. 5.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?
  6. 6.The sum of 3 consecutive numbers is 129. What is the smallest of them?
  7. 7.One number is 6 times another. Their difference is 90. What is the smaller number?
  8. 8.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?
  9. 9.One number is 3 times another. Their difference is 24. What is the smaller number?
  10. 10.The sum of 3 consecutive numbers is 135. What is the largest of them?
  11. 11.The sum of two numbers is 46 and their difference is 4. What is the smaller number?
  12. 12.The sum of 3 consecutive odd numbers is 33. What is the smallest of them?
  13. 13.The sum of two numbers is 47 and their difference is 25. What is the larger number?
  14. 14.The sum of 3 consecutive even numbers is 186. What is the smallest of them?
  15. 15.One number is 3 times another. Their difference is 18. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 57. What is the smallest of them?
  17. 17.The sum of 5 consecutive numbers is 105. What is the largest of them?
  18. 18.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  19. 19.The sum of 3 consecutive even numbers is 48. What is the largest of them?
  20. 20.One number is 3 times another. Their difference is 10. What is the smaller number?
  21. 21.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?
  22. 22.The sum of 4 consecutive numbers is 242. What is the smallest of them?
  23. 23.The sum of two numbers is 34 and their difference is 22. What is the larger number?
  24. 24.The sum of two numbers is 132 and their difference is 50. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 114. What is the smallest of them?
  26. 26.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?
  27. 27.The sum of 4 consecutive odd numbers is 232. What is the largest of them?
  28. 28.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 18. What is the number?
  29. 29.The sum of 3 consecutive even numbers is 84. What is the smallest of them?
  30. 30.One number is 5 times another. Their difference is 16. What is the smaller number?
  31. 31.The sum of 5 consecutive numbers is 70. What is the largest of them?
  32. 32.The sum of two numbers is 41 and their difference is 3. What is the smaller number?
  33. 33.One number is 2 times another. Their difference is 10. What is the smaller number?
  34. 34.The sum of 3 consecutive even numbers is 36. What is the smallest of them?
  35. 35.The sum of 4 consecutive numbers is 66. What is the smallest of them?
  36. 36.The sum of 3 consecutive numbers is 48. What is the smallest of them?
  37. 37.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  38. 38.The sum of 4 consecutive even numbers is 108. What is the smallest of them?
  39. 39.The sum of 4 consecutive odd numbers is 80. What is the smallest of them?
  40. 40.The sum of two numbers is 72 and their difference is 58. What is the smaller number?

Answer key

  1. 17
  2. 27
  3. 55
  4. 79
  5. 45
  6. 42
  7. 18
  8. 19
  9. 12
  10. 46
  11. 21
  12. 9
  13. 36
  14. 60
  15. 9
  16. 18
  17. 23
  18. 54
  19. 18
  20. 5
  21. 69
  22. 59
  23. 28
  24. 91
  25. 37
  26. 89
  27. 61
  28. 46
  29. 26
  30. 4
  31. 16
  32. 19
  33. 10
  34. 10
  35. 15
  36. 15
  37. 46
  38. 24
  39. 17
  40. 7

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