In a class of 200 students who appeared for certain examinations. 35 students failed in MHT-CET. 40 in AIEEE and 40 in IIT entrance. 20 failed in MHT-CET and AIEEE. 17 in AIEEE and IIT entrance. 15 in MHT-CET and IIT entrance and 5 failed in all three examinations. Find how many students. a)did not fail in any examination. b)failed in AIEEE or IIT entrance.

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