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GATE GNST|| Aptitude & Maths Quiz 8

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Question 1

The value of a for which the following system has infinite solutions 

Question 2

Find sum of series 91, 104, 117, 130, …………,377.

Question 3

A and B can do a piece of work in 10 days and 5 days respectively. They start together but B works for 2 days and then left. In how many days A completes the remaining work?

Question 4

Which one of the following is an eigen vector of the matrix:-

A =

Question 5

Calculate the value of .

Question 6

Matrix B = has a eigen vectors as . Find the corresponding eigen values for the given eigen vectors.

Question 7

If eigen values of a 3x 3 matrix are 3, - 4 and 5 respectively. Then, the coefficient of 1st degree variable in its characteristic equation is _______.

Question 8

In a zoo, there are rabbits and pigeons. If heads are counted there are 340 heads and is legs are counted there are 1060 legs. How many pigeons are there?

Question 9

Consider the matrix, . The normalized eigen – vector corresponding to the largest eigen value of the Matrix M is ________.

Question 10

Two cars travel from city A to city B at a speed of 48 and 60 km/hr, respectively. If one car takes 3.5 hours lesser time than the other car for the journey, then the distance between City A and City B is
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Posted by:

Vijay Pratap SinghVijay Pratap SinghMember since Nov 2019
M.tech IIT-Roorkee ||cracked GATE...
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