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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 704 · 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 5 consecutive numbers is 305. What is the largest of them?
  2. 2.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 45. What is the number?
  3. 3.The digits of a two-digit number add up to 4. When the digits swap places, the number goes up by 18. What is the number?
  4. 4.The sum of two numbers is 132 and their difference is 16. What is the smaller number?
  5. 5.The sum of two numbers is 87 and their difference is 39. What is the smaller number?
  6. 6.The sum of 4 consecutive odd numbers is 96. What is the smallest of them?
  7. 7.The sum of two numbers is 33 and their difference is 9. 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 27. What is the number?
  9. 9.The sum of two numbers is 84 and their difference is 22. What is the smaller number?
  10. 10.One number is 2 times another. Their difference is 24. What is the smaller number?
  11. 11.The sum of two numbers is 50 and their difference is 28. What is the smaller number?
  12. 12.The digits of a two-digit number add up to 5. When the digits swap places, the number goes up by 27. What is the number?
  13. 13.The sum of two numbers is 74 and their difference is 42. What is the smaller number?
  14. 14.One number is 5 times another. Their difference is 20. What is the smaller number?
  15. 15.The sum of two numbers is 88 and their difference is 32. What is the smaller number?
  16. 16.One number is 2 times another. Their difference is 17. What is the smaller number?
  17. 17.One number is 6 times another. Their difference is 15. What is the smaller number?
  18. 18.One number is 6 times another. Their difference is 120. What is the smaller number?
  19. 19.The sum of 3 consecutive odd numbers is 27. What is the largest of them?
  20. 20.The sum of two numbers is 171 and their difference is 13. What is the smaller number?
  21. 21.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  22. 22.The sum of two numbers is 89 and their difference is 3. What is the larger number?
  23. 23.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  24. 24.One number is 4 times another. Their difference is 99. What is the smaller number?
  25. 25.The sum of 4 consecutive numbers is 218. What is the largest of them?
  26. 26.One number is 6 times another. Their difference is 100. What is the smaller number?
  27. 27.The sum of two numbers is 49 and their difference is 15. What is the smaller number?
  28. 28.The sum of 3 consecutive odd numbers is 189. What is the smallest of them?
  29. 29.One number is 4 times another. Their difference is 84. What is the smaller number?
  30. 30.The sum of 3 consecutive odd numbers is 87. What is the smallest of them?
  31. 31.The sum of 5 consecutive numbers is 95. What is the largest of them?
  32. 32.One number is 6 times another. Their difference is 80. What is the smaller number?
  33. 33.One number is 5 times another. Their difference is 84. What is the smaller number?
  34. 34.The sum of two numbers is 54 and their difference is 22. What is the smaller number?
  35. 35.One number is 6 times another. Their difference is 95. What is the smaller number?
  36. 36.One number is 4 times another. Their difference is 105. What is the smaller number?
  37. 37.The sum of 4 consecutive numbers is 38. What is the smallest of them?
  38. 38.The sum of two numbers is 33 and their difference is 7. What is the smaller number?
  39. 39.The sum of two numbers is 87 and their difference is 43. What is the smaller number?
  40. 40.The sum of 3 consecutive even numbers is 246. What is the largest of them?

Answer key

  1. 63
  2. 16
  3. 13
  4. 58
  5. 24
  6. 21
  7. 12
  8. 69
  9. 31
  10. 24
  11. 11
  12. 14
  13. 16
  14. 5
  15. 28
  16. 17
  17. 3
  18. 24
  19. 11
  20. 79
  21. 63
  22. 46
  23. 75
  24. 33
  25. 56
  26. 20
  27. 17
  28. 61
  29. 28
  30. 27
  31. 21
  32. 16
  33. 21
  34. 16
  35. 19
  36. 35
  37. 8
  38. 13
  39. 22
  40. 84

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