← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 636 · 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 78. What is the smaller number?
  2. 2.One number is 3 times another. Their difference is 34. What is the smaller number?
  3. 3.The sum of 3 consecutive even numbers is 228. What is the largest of them?
  4. 4.The sum of two numbers is 46 and their difference is 12. What is the smaller number?
  5. 5.One number is 2 times another. Their difference is 39. What is the smaller number?
  6. 6.The sum of two numbers is 118 and their difference is 54. What is the larger number?
  7. 7.The sum of two numbers is 107 and their difference is 45. What is the smaller number?
  8. 8.One number is 4 times another. Their difference is 114. What is the smaller number?
  9. 9.The sum of 4 consecutive numbers is 86. What is the largest of them?
  10. 10.The sum of two numbers is 45 and their difference is 25. What is the larger number?
  11. 11.One number is 4 times another. Their difference is 42. What is the smaller number?
  12. 12.The sum of 5 consecutive numbers is 255. What is the smallest of them?
  13. 13.The sum of two numbers is 93 and their difference is 3. What is the larger number?
  14. 14.The digits of a two-digit number add up to 6. When the digits swap places, the number goes up by 36. What is the number?
  15. 15.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?
  16. 16.The sum of two numbers is 26 and their difference is 4. What is the smaller number?
  17. 17.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?
  18. 18.The sum of two numbers is 79 and their difference is 3. What is the smaller number?
  19. 19.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 18. What is the number?
  20. 20.The sum of two numbers is 104 and their difference is 92. What is the smaller number?
  21. 21.The sum of two numbers is 85 and their difference is 33. What is the smaller number?
  22. 22.The sum of two numbers is 90 and their difference is 16. What is the larger number?
  23. 23.The sum of 4 consecutive numbers is 102. What is the smallest of them?
  24. 24.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?
  25. 25.The sum of 3 consecutive numbers is 129. What is the largest of them?
  26. 26.The sum of two numbers is 132 and their difference is 28. What is the smaller number?
  27. 27.The sum of two numbers is 30 and their difference is 8. What is the smaller number?
  28. 28.The digits of a two-digit number add up to 8. When the digits swap places, the number goes up by 54. What is the number?
  29. 29.The sum of 4 consecutive numbers is 90. What is the largest of them?
  30. 30.One number is 2 times another. Their difference is 7. What is the smaller number?
  31. 31.One number is 3 times another. Their difference is 36. What is the smaller number?
  32. 32.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?
  33. 33.The digits of a two-digit number add up to 12. When the digits swap places, the number goes up by 36. What is the number?
  34. 34.One number is 4 times another. Their difference is 12. What is the smaller number?
  35. 35.The sum of 3 consecutive even numbers is 156. What is the largest of them?
  36. 36.The sum of 5 consecutive numbers is 280. What is the smallest of them?
  37. 37.The sum of 3 consecutive numbers is 93. What is the smallest of them?
  38. 38.The sum of two numbers is 45 and their difference is 3. What is the smaller number?
  39. 39.The sum of two numbers is 32 and their difference is 26. What is the larger number?
  40. 40.The sum of 4 consecutive numbers is 94. What is the largest of them?

Answer key

  1. 39
  2. 17
  3. 78
  4. 17
  5. 39
  6. 86
  7. 31
  8. 38
  9. 23
  10. 35
  11. 14
  12. 49
  13. 48
  14. 15
  15. 69
  16. 11
  17. 79
  18. 38
  19. 57
  20. 6
  21. 26
  22. 53
  23. 24
  24. 89
  25. 44
  26. 52
  27. 11
  28. 17
  29. 24
  30. 7
  31. 18
  32. 34
  33. 48
  34. 4
  35. 54
  36. 54
  37. 30
  38. 21
  39. 29
  40. 25

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