← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 938 · 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.One number is 3 times another. Their difference is 22. What is the smaller number?
  2. 2.The sum of 4 consecutive odd numbers is 176. What is the smallest of them?
  3. 3.One number is 3 times another. Their difference is 18. What is the smaller number?
  4. 4.The digits of a two-digit number add up to 14. 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 11. When the digits swap places, the number goes up by 27. What is the number?
  6. 6.The sum of 3 consecutive even numbers is 222. What is the smallest of them?
  7. 7.The sum of two numbers is 90 and their difference is 22. What is the smaller number?
  8. 8.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?
  9. 9.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?
  10. 10.The sum of 3 consecutive odd numbers is 87. What is the largest of them?
  11. 11.The digits of a two-digit number add up to 10. When the digits swap places, the number goes up by 54. What is the number?
  12. 12.The sum of 3 consecutive even numbers is 144. What is the smallest of them?
  13. 13.The sum of 4 consecutive even numbers is 284. What is the largest of them?
  14. 14.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?
  15. 15.The sum of two numbers is 131 and their difference is 17. What is the smaller number?
  16. 16.The sum of 3 consecutive numbers is 57. What is the largest of them?
  17. 17.The sum of two numbers is 104 and their difference is 78. What is the smaller number?
  18. 18.The sum of 4 consecutive numbers is 182. What is the largest of them?
  19. 19.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?
  20. 20.One number is 4 times another. Their difference is 108. What is the smaller number?
  21. 21.The sum of two numbers is 151 and their difference is 11. What is the larger number?
  22. 22.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 27. What is the number?
  23. 23.The sum of 5 consecutive numbers is 105. What is the largest of them?
  24. 24.One number is 2 times another. Their difference is 28. What is the smaller number?
  25. 25.The sum of 3 consecutive odd numbers is 135. What is the smallest of them?
  26. 26.One number is 3 times another. Their difference is 62. What is the smaller number?
  27. 27.The sum of 3 consecutive even numbers is 228. What is the smallest of them?
  28. 28.One number is 6 times another. Their difference is 130. What is the smaller number?
  29. 29.One number is 2 times another. Their difference is 11. What is the smaller number?
  30. 30.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 45. What is the number?
  31. 31.The sum of two numbers is 185 and their difference is 5. What is the smaller number?
  32. 32.One number is 4 times another. Their difference is 87. What is the smaller number?
  33. 33.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 9. What is the number?
  34. 34.The sum of 4 consecutive even numbers is 332. What is the smallest of them?
  35. 35.The sum of two numbers is 36 and their difference is 6. What is the smaller number?
  36. 36.The sum of 5 consecutive numbers is 75. What is the largest of them?
  37. 37.One number is 2 times another. Their difference is 32. What is the smaller number?
  38. 38.One number is 5 times another. Their difference is 72. What is the smaller number?
  39. 39.One number is 5 times another. Their difference is 124. What is the smaller number?
  40. 40.The sum of 3 consecutive even numbers is 90. What is the largest of them?

Answer key

  1. 11
  2. 41
  3. 9
  4. 68
  5. 47
  6. 72
  7. 34
  8. 78
  9. 24
  10. 31
  11. 28
  12. 46
  13. 74
  14. 29
  15. 57
  16. 20
  17. 13
  18. 47
  19. 89
  20. 36
  21. 81
  22. 36
  23. 23
  24. 28
  25. 43
  26. 31
  27. 74
  28. 26
  29. 11
  30. 27
  31. 90
  32. 29
  33. 67
  34. 80
  35. 15
  36. 17
  37. 32
  38. 18
  39. 31
  40. 32

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