8 liters are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in the cask to that of water is 16:65. How much wine did the cask hold originally?
A takes 3 hours more than B to walk a distance of 30 km. When A doubles his speed, he can cover the same distance one and half hour quicker than B. What was A’s initial speed?
If A={5,6,7} and B={1,2,3,4},Find the numbers of elements in the set A*B*B ?
If , find the value of x.
If roots of equation k2 – 5K + 1 = 0 are (a) and (b) then find the equation whose roots are (2a + 1) and (2b + 1).
If, , then how many natural numbers for p are there that satisfies the above inequality.
If f(x) = 9 – 5x2, then determine the value of f(3 – t).
If , then x is equal to
The equation logxy + logx(1 + y) = 0 can be written as:
A dealer has 1000kg of rice. He decided to sell them at eighteen percent profit, but after selling some part at eighteen percent profit, he reduces his profit percent by 10% on the remaining quantity of rice. If he earns a total of 14% profit, on the whole, find the quantity of rice he sold at eighteen percent profit.
The cube of three consecutive positive odd numbers adds up to 495. Find the largest number among all.
In a university, of the students are studying engineering and th of them are mechanical engineers. If 350 students in the university are non-mechanical engineers, how many students are studying in the university?
The cost of 7 Thumbsup, 5 sprite and 1 Fanta is 575 while the cost of 6 Thumbsup, 2 sprite and 8 Fanta is 480. What is the cost of 2 Thumbsup and 3 Sprite?
A teacher went to buy some sharpeners and eraser for the students. The sharpeners cost 5 rupees each while the eraser cost 8 rupees each. He bought a bunch of them and paid 90 rupees. If he bought a total of 15 items, how many erasers did he buy?
If (x) is a positive integer, for how many values of (x) will the expression be an integer?
