Mathematics Tes...

In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:

A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions?

Two pipes A and B together can fill a cistern in 4 hours. Had they been opened separately, then B would have taken 6 hours more than A to fill the cistern. How much time will be taken by A to fill the cistern separately?

A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :

f(x)=x²−3x, then the points at which f(x)=f′(x)are

If y=cos(sinx²),then at x=√π2,dy/dx=

The average marks of four subjects is 120. If 33 was misread as 13 during the calculation, what will be the correct average?

If tan(π/2−θ/2)=√the value of cosθ is?

If log₁₀ 2 = 0.3010, the value of log₁₀ 80 is:

IF a + b = 1, c + d = 1 and a - b = d/c,then the value of c² + d² = ?