Factorise the following expressions. (i) 7x – 42 (ii) 6p – 12q (iii) 7a2 + 14a (iv) -16z + 20z3 (v) 20l2m + 30alm (vi) 5x2y – 15xy2 (vii) 10a2 – 15b2 + 20c2 (viii) -4a2 + 4ab – 4ca (ix) x2yz + xy2z + xyz2 (x) ax2y + bxy2 + cxyz

How do you find the Maclaurin series for tanx?

Why is Axiom 5, in the list of Euclid’s axioms, considered a ‘universal truth’? (Note that the equation is not about the fifth postulate.)

The smallest composite number is ______.

(a) 2

(b) 4

(c) 1

(d) None of these

Find the arithmetic mean of the first ten odd natural numbers.

A boat goes 24 km upstream and 28 km downstream in 6 hours. It goes 30 km upstream and 21 km downstream in 6 hours and 30 minutes. The speed of the boat in still water is

A. 10 km/hr

B. 4 km/hr

C. 14 km/hr

D. 6 km/hr