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# GATE GNST|| Aptitude & Maths Quiz 5

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Question 1

A first order differential equation can be written as

The general solution of the equation is

Question 2

If A is 4 × 5 real matrix and A × = B is a consistent system of equations. The highest possible rank of A is:

Question 3

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

Question 4

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

Question 5

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

Question 6

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.

Question 7

How many solutions does the following system of linear equations have?
-x + 5y = -1
x - y = 2
x + 3y = 3

Question 8

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

Question 9

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

Question 10

For a given matrix, where, the inverse of matrix p is
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