Free Printable Assignment-Number Theory

1.

The first six nonzero multiples of 7 are....

a)

$7,\ 14,\ 28,\ 35,\ 42,\ 49\ \$

b)

$7,\ 14,\ 21,\ 28,\ 35,\ 42\$

c)

$14,\ 21,28,\ 35,\ 42,\ 49$

d)

$1,\ 7,\ 14,\ 21,\ 28,\ 35\$

2.

The prime factorization of 104 is

a)

$2+2+2+13$

b)

$2\times2\times2\times13$

c)

$2\times2\times1\times3$

d)

$2\times2\times2\times3\times1$

3.

The GCF of 24 and 116 is

a)

$3$

b)

$29$

c)

$8$

d)

$4$

4.

The GCF of 72 and 90 is

a)

$18$

b)

$9$

c)

$2$

d)

$10$

5.

Find the LCM of 7 and 6 using the listing method

a)

$42$

b)

$6$

c)

$14$

d)

$21$

6.

If two numbers are relatively prime, how do you find their least common multiple?

a)

Divide them

b)

Subtract them

c)

Add them

d)

Multiply them

7.

What is the divisibility rule for 3?

a)

The last digit must be a 3.

b)

The digits must add up to 9.

c)

Add up the digits. The sum must be divisible by 3.

d)

Add up the digits. The sum must be even and divisible by 3.

8.

True or false: The least common multiple is the smallest product of two or more factors?

a)

True

b)

False

9.

The remainder when 111 is divided by 12 is?

a)

1

b)

2

c)

3

10.

Is 17 congruent to 4 modulo 6?

a)

True

b)

False

11.

If a|b and a|c, then?

a)

a|bc

b)

c|a

c)

a|(b+c)

12.

The octal expansion of $(1010111011)_2$ is ___________

a)

$(1245)_8$

b)

$(1273)_8$

c)

$(1275)_8$

13.

How many prime numbers are there between 1 to 20?

a)

5

b)

6

c)

7

d)

8

14.

Hexadecimal number equivalent of decimal 10 is?

a)

A

b)

F

c)

10

15.

Decimal equivalent of binary number 1010 is?

a)

A

b)

10

c)

11

16.

The remainder when 82 ! is divided by 83

a)

-1

b)

1

c)

0

17.

By definition, we can say that two integers a and b are relatively prime if

a)

(a, b) = 0

b)

(a, b) = 1

c)

(a, b) > 1

d)

(a, b) < 1

18.

What is the remainder when 3³¹ is divided by 7?

a)

5

b)

16

c)

18

d)

3

19.

If a positive integer m divides the difference of two integers a and b i.e. m|(a-b), then

a)

$a\equiv b(mod\ m)$

b)

a = b(mod m)

c)

$a\equiv m(mod\ b)$

d)

$a\ne b(mod\ m)$

20.

The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is

a)

20

b)

30

c)

40

d)

None of these

21.

A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by

a)

3

b)

5

c)

9

d)

11

22.

What is the sum of two consecutive even numbers, the difference of whose squares is 84?

a)

34

b)

38

c)

42

d)

46

23.

The sum of the two numbers is 12 and their product is 35. What is the sum of the reciprocals of these numbers ?

a)

12/35

b)

1/35

c)

35/8

d)

7/32

24.

What will be remainder when 17²⁰⁰ is divided by 18?

a)

17

b)

16

c)

1

d)

2

25.

If a and b are odd numbers, then which of the following is even?

a)

a+b

b)

a+b+1

c)

ab

d)

ab+2

Assignment-Number Theory

Total questions: 25

Worksheet time: 25mins

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