Maths quiz for B.Sc

How many prime numbers are there of the form 6n+5?

• 1

• 0

• 1250

• $\infty$

Value of  $\phi$  (600) is. Where  $\phi$  is the Euler function.

• 100

• 150

• 160

• 106

Find the highest power of 180 in 102! .

• 24

• 49

• 98

• 26

Number of divisors of 270.

• 10

• 16

• 15

• 22

An equivalence relation satisfies..

• Reflexive

• Anti-symmetry

• Transitive

• All of above

Sum of all the nth roots of unity is...

• 0

• 1

• -1

• 3

a=b(mod m) means..

• a is congruent to m modulo b

• a is congruent to b modulo m

• m is a divisor of ( a + b)

• m is a divisor of ( a - b)

If (c,d) = 1,it means

• c = d

• c and d are prime numbers

• GDC of c and d is 1

• c divide d

Name the theorem.
" If p is a prime number,then (p-1)! $\equiv$  -1( mod p)."

• Fermat theorem 

• Chinese remainder theorem

• Wilson's theorem

• All the above

Which maths book is your favourite?

• Number theory and trigonometry

• Calculus

• Vector analysis

• None of the above