Mathematics Tes...

If sec² 70^∘ − cot² 20^∘/2(cosec² 59^∘ − tan² 31^∘) = 2/m, then m is equal to?

Pipes A and B can fill a tank in 5 and 6 hours respectively. Pipe C can empty it in 12 hours. If all the three pipes are opened together, then the tank will be filled in:

Find the 15th term of the sequence 20, 15, 10 . . . . .

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

Ajit has a certain average for 9 innings. In the tenth innings, he scores 100 runs thereby increasing his average by 8 runs. His new average is:

sinθ + cosθ/sinθ − cosθ = 3,then the value of sin⁴θ − cos⁴ θ is?

If log 27 = 1.431, then the value of log 9 is:

Three unbiased coins are tossed. What is the probability of getting at most two heads?

A two member committee comprising of one male and one female member is to be constitute out of five males and three females. Amongst the females. Ms. A refuses to be a member of the committee in which Mr. B is taken as the member. In how many different ways can the committee be constituted ?