GATE GNST|| Aptitude & Maths Quiz 5

A first order differential equation can be written as

The general solution of the equation is

If A is 4 × 5 real matrix and AX = B is a consistent system of equation, then the highest possible rank of A is:

If a + 1/a = 4, a² + 1/a³ = 7, then what is the value of a³ + 1/a² ?

For the matrix eigen vector corresponding to eigen value −2 is ___________.

Find the number of zeroes at the end of the product of the expression 2² × 5⁶ × 2¹⁰ × 5¹⁴ × 2¹⁸ × 5²² × 2²⁶ × 5³⁰.

P, Q & R start a business with the investment ratio 5:6:8. At the end of the year their profit ratio is 5:3:12. If R worked for entire year then find the sum of time duration of P and Q for which they invested their money.

In the figure EC and AD are the diameters of the circle. Find ∠EPD + ∠BPA.

If x + y = 10 then maximum value of xy is