# Math Exam - 1 (Number Theory)

10 Questions | Total Attempts: 105  Settings  .

• 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 Back to top