← Number problems lesson New set →

Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 112 · 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 62 and their difference is 60. What is the larger number?
  2. 2.The sum of 4 consecutive numbers is 94. What is the largest of them?
  3. 3.The sum of two numbers is 14 and their difference is 6. What is the smaller number?
  4. 4.The sum of two numbers is 64 and their difference is 6. What is the smaller number?
  5. 5.The digits of a two-digit number add up to 13. When the digits swap places, the number goes up by 45. What is the number?
  6. 6.The sum of 4 consecutive odd numbers is 264. What is the smallest of them?
  7. 7.The sum of two numbers is 95 and their difference is 73. What is the larger number?
  8. 8.One number is 3 times another. Their difference is 76. What is the smaller number?
  9. 9.The sum of two numbers is 85 and their difference is 13. What is the smaller number?
  10. 10.The sum of 3 consecutive even numbers is 126. What is the largest of them?
  11. 11.The sum of 5 consecutive numbers is 100. What is the largest of them?
  12. 12.The sum of 4 consecutive numbers is 146. What is the largest of them?
  13. 13.The sum of 5 consecutive numbers is 240. What is the smallest of them?
  14. 14.The sum of two numbers is 157 and their difference is 29. What is the larger number?
  15. 15.The sum of two numbers is 90 and their difference is 4. What is the smaller number?
  16. 16.The sum of 4 consecutive numbers is 54. What is the smallest of them?
  17. 17.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 9. What is the number?
  18. 18.One number is 3 times another. Their difference is 6. What is the smaller number?
  19. 19.The sum of 5 consecutive numbers is 230. What is the smallest of them?
  20. 20.The sum of two numbers is 20 and their difference is 2. What is the larger number?
  21. 21.One number is 4 times another. Their difference is 57. What is the smaller number?
  22. 22.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?
  23. 23.The sum of 4 consecutive numbers is 66. What is the largest of them?
  24. 24.The sum of two numbers is 69 and their difference is 51. What is the smaller number?
  25. 25.The sum of two numbers is 15 and their difference is 9. What is the smaller number?
  26. 26.The sum of two numbers is 136 and their difference is 10. What is the larger number?
  27. 27.The sum of 5 consecutive numbers is 90. What is the smallest of them?
  28. 28.The sum of two numbers is 30 and their difference is 28. What is the smaller number?
  29. 29.The sum of 5 consecutive numbers is 115. What is the smallest of them?
  30. 30.The sum of 3 consecutive odd numbers is 147. What is the largest of them?
  31. 31.The sum of 3 consecutive odd numbers is 153. What is the smallest of them?
  32. 32.The sum of two numbers is 31 and their difference is 1. What is the larger number?
  33. 33.The sum of 3 consecutive numbers is 90. What is the largest of them?
  34. 34.One number is 5 times another. Their difference is 96. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 165. What is the smaller number?
  36. 36.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?
  37. 37.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?
  38. 38.The sum of 4 consecutive even numbers is 228. What is the smallest of them?
  39. 39.The sum of two numbers is 100 and their difference is 84. What is the smaller number?
  40. 40.One number is 5 times another. Their difference is 100. What is the smaller number?

Answer key

  1. 61
  2. 25
  3. 4
  4. 29
  5. 49
  6. 63
  7. 84
  8. 38
  9. 36
  10. 44
  11. 22
  12. 38
  13. 46
  14. 93
  15. 43
  16. 12
  17. 23
  18. 3
  19. 44
  20. 11
  21. 19
  22. 79
  23. 18
  24. 9
  25. 3
  26. 73
  27. 16
  28. 1
  29. 21
  30. 51
  31. 49
  32. 16
  33. 31
  34. 24
  35. 33
  36. 48
  37. 67
  38. 54
  39. 8
  40. 25

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