Math Exam - 1 (Number Theory)

10 Questions | Total Attempts: 105

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Math Exam - 1 (Number Theory)

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Questions and Answers
  • 1. 
    A certain integer when divided by 5 yields a remainder of 4. Which of these can not be an integer?
    • A. 

      N/9

    • B. 

      N/10

    • C. 

      N/14

    • D. 

      N/19

    • E. 

      None of these

  • 2. 
    If the average of 5 consecutive odd integer is 55. what is the average of the last two integers?
    • A. 

      56

    • B. 

      57

    • C. 

      58

    • D. 

      60

    • E. 

      None of these

  • 3. 
    When the integers x id divided by 5, the remainder is 2. Which of the following can be multiple of  (x+3) 
    • A. 

      8x+7

    • B. 

      9x-3

    • C. 

      11x-4

    • D. 

      13x+1

    • E. 

      13x

  • 4. 
    P is divisible by 4. Q is divisible by 3. Which of the following is definitely odd? 
    • A. 

      Q(P+1)

    • B. 

      2P+3Q

    • C. 

      ​PQ2

    • D. 

      P2Q3

    • E. 

      None of these

  • 5. 
    Q is a prime number larger than 10. What is the smallest positive number (except 1) that 3Q can be equally divided by?
    • A. 

      3Q

    • B. 

      Q

    • C. 

      3

    • D. 

      Q+3

    • E. 

      None of these

  • 6. 
    A can be divided by 11. Which of the following expressions can be divided by 11 leaving a remainder of 1?
    • A. 

      A-20

    • B. 

      A-12

    • C. 

      A-9

    • D. 

      A-10

    • E. 

      None of these

  • 7. 
    Turn the odd man out:  4, 9, 10, 12, 13, 18, 21
    • A. 

      4

    • B. 

      12

    • C. 

      13

    • D. 

      21

    • E. 

      None of these

  • 8. 
    If a, b, and c are nonzero numbers and a+b=c, which of the following is equal to 1?
    • A. 

      (a-b)/c

    • B. 

      (a-c)/b

    • C. 

      (b-c)/a

    • D. 

      (c-b)/a

    • E. 

      None of these

  • 9. 
    When 10 is divided by the positive integer n, the remainder is n-4. Which of the following could be value of n?
    • A. 

      3

    • B. 

      4

    • C. 

      7

    • D. 

      8

    • E. 

      12

  • 10. 
    When the integer n is divided by 3, the quotient is p and the remainder is 1. When p is divided by 5, the quotient is q and the remainder is 2. What will be the remainder when n is divided by 5.
    • A. 

      4

    • B. 

      3

    • C. 

      2

    • D. 

      1

    • E. 

      None of these

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