Which one of the following sentences is a proposition?
(i) 4+7=12
(ii) What are you doing?
(iii) `3^(n) le 81, n in N`
(iv) Peacock is our national bird
(v) How tall this mountain is?

Which of the following are not statements? (i) 3+4=8 (ii) Then sun is a planet (iii) Switch on the light (iv) Where are you going?

Write the following in the form of 4^(n) : (i) 16 (ii) 8 (iii) 32

Which of the following are statement? (i) 7 +2 lt 10 (ii) Set of rational numbers is finite (iii) How beautiful you are (iv) wish you all the best

Which one of the following are irrational numbers ? (i) sqrt(2+sqrt3) , (ii) sqrt(4+sqrt25) , (iii) root3(5+sqrt7) , (iv) sqrt(8-root3(8))

Find the cardinal number of the following sets (i) M={p,q,r,s,t,u} (ii) P={x: x=3n+2, n in W and x lt 15} (iii) Q={y: y=(4)/(3n), n in N and 2 lt n le 5} (iv) R={"x : x is an integer, "x in Z and -5 le x lt 5} (v) S= The set of all leap years between 1882 and 1906.

Write the first three terms in each of the following sequences defined by the following: (i) a_n =2n +5, (ii) a_n = (n-3)/4