This quiz contains multiple-choice problems on prime numbers, quadratic residue, LCM, HCF, base conversion, exponent rules, number complement, number theory applications, modular exponentiation, cyphers, cryptography encryption and decryption.
All prime numbers are odd. True or false?
True
False
3 is the smallest prime number possible. True or false?
True
False
How many prime numbers exist between 1 to 20?
5
6
7
None of the above
There are a finite number of prime numbers. True or false?
True
False
The sum of two distinct prime numbers is
A prime number
A composite number
Either prime or composite
None of the above
The difference between two distinct prime numbers is
Odd and prime
Even and composite
All of the above
None of the above
If a and b are two distinct prime numbers, then the highest common factor of a and b is
2
0
1
ab
If a, b, c and d are distinct prime numbers whose least common factor is the smallest prime, then a * b * c * d is a/an
Odd number
Even number
Prime number
None of the above
The one’s complement in binary is defined as
Flipping each binary bit
Adding one to the binary number
Flipping only the bits having zero in it
None of the above
What is the one’s complement of the number 1010110?
1111111
0101001
1100110
None of the above
If the one’s complement of a number x is y, then the one’s complement of y is
y
x
x + y
None of the above
The nine’s complement of a number is formed by
Replacing each digit by 9 minus that digit
Replacing each digit by 1 plus that digit
Replacing each digit by 8 minus that digit
None of the above
What is the nine’s complement of 23456?
87654
76543
12345
None of the above
The number of factors that prime numbers have is
2
3
Depends on the prime number
None of the above
What is the number 1?
A prime number
A composite number
Neither prime nor composite
None of the above