Number theory

The remainder when 111 is divided by 12 is?

• 1

• 2

• 3

Is 17 congruent to 4 modulo 6?

• True

• False

If a|b and a|c, then?

• a|bc

• c|a

• a|(b+c)

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

•  $(1245)_8$  

•  $(1273)_8$  

•  $(1275)_8$  

The greatest common divisor of 414 and 662 is?

• 2

• 4

• 6

All prime numbers are odd.

• True

• False

How many prime numbers are there between 1 to 20?

• 5

• 6

• 7

• 8

Sum of two different prime number is a ____________

• Prime number

• Composite number

• Either Prime or Composite

What is pseudo prime number?

• is a probable prime and is not a prime number

• is a prime number

• does not share any property with prime number

The LCM of two number 1, b(integer) are _________

• 1

• b

• 1+b