Mathematics Quiz

The first step in mathematical induction is ________________

• Proposition

• basis step

• inductive step

• Both b and c

n^3 + 2n is divisible by

• 2

• n

• 3

• 5

8^n – 3^n is divisible by ________

• 2

• 3

• 7

• 5

If (n+1) pigeon occupies ‘n’ holes then atleast one hole has more than _______ pigeon.

• N

• n+1

• 1

• n-1

Among 100 people, atleast ___________ of them were born in same month.

• 9

• n

• n+1

• n-1

If seven colours are used to paint 50 toys, atleast ________ toys will be the same colour.

• M

• n

• 8

• 10

In how many ways can letters of the word “MISSISSIPPI” be arranged

• 35640

• 36540

• 34650

• 36450

In how many ways can 5 persons be selected from a team of 10?

• 625

• 125

• 175

• 252

The Generalized Pigeon Hole Principle states that If m pigeons occupy n holes, then atleast one hole has ____________

• (

• )

• n + 1

• n - 1

The characteristic equation for the recurrence relation a = 6a