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Power of ten-Number system-Modular arithmetic

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.

If  25 ≡\equiv 4 (mod p) , where p is a prime number, then p is

a)

3

b)

5

c)

7

d)

Either 3 or 7

2.

Find the remainder when 2187521^{875}  is divided by 17

a)

8

b)

13

c)

16

d)

9

3.

In the set of integers modulo 12, 38 +12+_{12}  28 =

a)

6

b)

5

c)

4

d)

3

4.

Find the remainder when  25^{102}  is divided by 17

a)

13

b)

15

c)

4

d)

2

5.

If 1st July 2006 was a Saturday, then what day of the week will be 18th July 2006?

a)

Tuesday

b)

Wednesday

c)

Saturday

d)

Thursday

6.

Find the remainder when 417741^{77} is divided by 7 

a)

2

b)

1

c)

6

d)

4

7.

The largest single digit number that satisfies 14x  \equiv  4 ( mod3) is 

a)

5

b)

7

c)

8

d)

9

8.

Find the remainder when 4319743^{197} is divided by 7 

a)

2

b)

4

c)

6

d)

1

9.

Find the remainder when 50515250^{51^{52}} is divided by 11 

a)

6

b)

4

c)

7

d)

3

10.

Anand started a work on Sunday at 9:30 AM and he finished it after 87 hours there of. Then he finished the work on

a)

Wednesday, 11:30 PM

b)

Thursday 00:30 AM

c)

Wednesday 00:30 AM

d)

Thursday 11:30 PM