A Tank of 425 litres capacity has been filled with water through two pipes. The First pipe having been opened 5 hours longer than the second. If the first pipe were open as long as the second, and the second pipe was open as long as first pipe was open, then the first pipe would deliver half the amount of water delivered by second pipe.If the two pipes were opened simultaneously the tank would be filled in 17 hours. How long was the second pipe open ?
Two man and a Women are entruested with a task. The second man needs three hours more to cope with job than the second man and the women need working together. The first man working alone would need as much time as the second man and the woman working together. The first man working alone would spend eight hours less than the double period of time the second man would spend working alone. How much time did the two man and the woman need to complete tthe task if they all work together ?
Ajay has 8 friends. Out of them, 5 are boys and 3 are girls. His wife has 6 friends and out of them 4 are girls and 2 are boys. For their marriage anniversary, they decided to give party to any five friends (3 girls and 2 boys). In how many ways can they invite 5 friends, such that 3 of them should be Ajay's friends and 2 should be his wife's friends?
According to the rational root theorem, if a polynomial of degree 7 has a leading coefficient of 1, and a constant term of â13, how many rational numbers can be a root of this polynomial?
f(x) is a twice differentiable function such that f(2x)=f(x+5)+(xâ5)^2. If fâ˛â˛(10)=a/b, where a and b are coprime positive integers, what is the value of a+b?
A curve is defined by (x,y)=(cos^3 θ,sin^3 θ). If the equation for the tangent line at θ=2pi/3 is y=ax+b, then a*b=m/n, where m and n are coprime positive integers. What is the value of m+n?
A certain work is done in 7.5 hours. Within this time 50 units of component B and 400 units of component A is made. B takes twice the time of A. How much time is taken by B alone?
In the figure , M is a point on BC such that BM:MC = 1:2 . If BD & AM intersect at G , and the area of BGM is 1cm^2 . what is the area of parallelogram ABCD ? ..
A cube is painted such that one of its faces is painted in black,one in white & one in red.The other three faces are left unpainted.The cube is now cut into 729 small & identical cubes. What is the minimum possible no. of small cubes that have no colour on them ?
At the end of a professional bowling tournament, the top 5 bowlers have a play-off. First #5 bowls #4. The loser receives 5th prize and the winner bowls #3 in another game. The loser of this game receives 4th prize and the winner bowls #2. The loser of this game receives 3'd prize and the winner bowls #l. The winner of this game gets lot prize and the loser gets 2nd prize. In how many orders can bowlers #1 through #5 receive the prizes?
The sets Qp are defined as {p, p + 1, p + 2, p + 3, p + 4, p + 5, p + 6}, where p = 1, 2, 3 . . . . . 100. How many of these sets contain a multiple of 11?
How many four-digit perfect squares 'abcd' are possible such that 'dcba' is also a four-digit perfect square and is also a factor of 'abcd'? (given a is not equal to d)
