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Number Problems Worksheet

Quantitative aptitude lesson 27: Number problems · Set 75 · 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 93 and their difference is 61. What is the smaller number?
  2. 2.The sum of 4 consecutive even numbers is 324. What is the largest of them?
  3. 3.The sum of 5 consecutive numbers is 35. What is the smallest of them?
  4. 4.The sum of 4 consecutive numbers is 190. What is the smallest of them?
  5. 5.The digits of a two-digit number add up to 11. When the digits swap places, the number goes up by 9. What is the number?
  6. 6.One number is 2 times another. Their difference is 13. What is the smaller number?
  7. 7.The sum of 4 consecutive numbers is 70. What is the largest of them?
  8. 8.One number is 2 times another. Their difference is 40. What is the smaller number?
  9. 9.One number is 6 times another. Their difference is 95. What is the smaller number?
  10. 10.The sum of two numbers is 125 and their difference is 27. What is the smaller number?
  11. 11.The sum of 5 consecutive numbers is 285. What is the largest of them?
  12. 12.One number is 3 times another. Their difference is 28. What is the smaller number?
  13. 13.The sum of 5 consecutive numbers is 225. What is the smallest of them?
  14. 14.One number is 3 times another. Their difference is 18. What is the smaller number?
  15. 15.The sum of two numbers is 25 and their difference is 3. What is the smaller number?
  16. 16.The sum of 3 consecutive odd numbers is 183. What is the largest of them?
  17. 17.The sum of 4 consecutive numbers is 118. What is the smallest of them?
  18. 18.The digits of a two-digit number add up to 7. When the digits swap places, the number goes up by 27. What is the number?
  19. 19.The sum of two numbers is 14 and their difference is 10. What is the larger number?
  20. 20.The sum of 4 consecutive even numbers is 36. What is the largest of them?
  21. 21.One number is 6 times another. Their difference is 155. What is the smaller number?
  22. 22.The sum of two numbers is 45 and their difference is 1. What is the larger number?
  23. 23.One number is 3 times another. Their difference is 12. What is the smaller number?
  24. 24.The sum of two numbers is 36 and their difference is 16. What is the larger number?
  25. 25.The sum of 3 consecutive numbers is 60. What is the smallest of them?
  26. 26.The sum of 3 consecutive numbers is 21. What is the smallest of them?
  27. 27.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?
  28. 28.One number is 2 times another. Their difference is 22. What is the smaller number?
  29. 29.One number is 6 times another. Their difference is 75. What is the smaller number?
  30. 30.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?
  31. 31.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?
  32. 32.The sum of 4 consecutive odd numbers is 288. What is the largest of them?
  33. 33.The sum of 4 consecutive numbers is 70. What is the smallest of them?
  34. 34.One number is 6 times another. Their difference is 80. What is the smaller number?
  35. 35.The sum of 3 consecutive odd numbers is 207. What is the smallest of them?
  36. 36.The sum of two numbers is 176 and their difference is 4. What is the smaller number?
  37. 37.The sum of 5 consecutive numbers is 95. What is the smallest of them?
  38. 38.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?
  39. 39.The sum of 4 consecutive numbers is 34. What is the largest of them?
  40. 40.The digits of a two-digit number add up to 9. When the digits swap places, the number goes up by 63. What is the number?

Answer key

  1. 16
  2. 84
  3. 5
  4. 46
  5. 56
  6. 13
  7. 19
  8. 40
  9. 19
  10. 49
  11. 59
  12. 14
  13. 43
  14. 9
  15. 11
  16. 63
  17. 28
  18. 25
  19. 12
  20. 12
  21. 31
  22. 23
  23. 6
  24. 26
  25. 19
  26. 6
  27. 36
  28. 22
  29. 15
  30. 14
  31. 48
  32. 75
  33. 16
  34. 16
  35. 67
  36. 86
  37. 17
  38. 78
  39. 10
  40. 18

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