roots
If x =(root2- 1), find the value of x4 + 4x3 + 6x2+4x +8.
am gm
The difference between two numbers is 128 and the difference between the arithmetic mean and the geometric mean is one less than of 1/3 of 99. Find the numbers.
tsd
A ship was late to sail by 30 mins due to bad weather, they tried to make up for the lost time by speeding the ship by 20 km/hr more than the normal speed for a section of 160km. What is the original speed of the ship?
linear and quardratic equation
in a annual sports meet inย boys school the boys present in the meetย when arranged in a solidย square , have 16 boys less in the front row,then when arranged in a hollow square 4 deep. find the number of boys present, in the sports meetA)567B)676C)625D)576E)225
logarithms
let,w=(log (base2) b)^2+6log(base2)b+12 and b is a real number,thenย b^w=1/256,hasa) no solutionb) exactly one solutionc) exactly 2 distinct solutionsd)exactly 3 distinct solution
averages
5 year ago the average age of A,B,C was 21 yr the average age of B,C was 22 yr ,3 year ago. What is the present age of A?
logirithm
let log base x 4=log base16ย y=logbase zย ย 32,wher x,y,zย are positive integer then what is the value of y
pipes
A tank has a capacity of 480 litres. it has 3 pipes,:A,B,C. A and B are inlet pipes filing at the rate of 10 litr per minute and 4 litr per min. pipe c is an outletย pipe removing water at the rate of 2 litr per mint the process ito fill the tank issuch that 3 pipes are turned alternately,one at a time,first the pipe A is kept open for 1 mint, the it is closed and pipe c is opened for a mint and then it is closedand the process repeated till the tank is completely filled. t=how many mint it take to fill the tank?
euation
IF r is a constant such that |x^2-4x-13|=r has exaCTLY THREE DISTINCT REAL ROOTS THEN THE VALUE OF r IS
men and days
amit take 20 days to complete a work.Amit started the workย and suraj joined him 4 days before the work was completed. Find out the number of days forย which amit worked alone if suraj efficiency is 25% more than that of amit'sa]10daysb]8daysc]12daysd]11days