Free Online Practice mock Test 1 for GATE Chemical engineering. GATE syllabus and Previous Year Question Papers with Answers Free Download.

1. Consider the following set of linear algebraic equations
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x_{1} + 2x_{2} + 3x_{3} = 2

x_{2} + x_{3} = - 1

2x_{2} + 2x_{3} = 0

The system has

2. If a and b are arbitrary constants, then the solution to the ordinary differential equation d^{2}y/dx^{2} - 4y = 0 is
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3. For the function f(t) = e^{-t/T}, the Taylor series approximation for t << T is
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4. A box containing 10 identical compartments has 6 red balls and 2 blue balls. If each compartment can hold only one ball, then the number of different possible arrangements are
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5. Consider the following (2 * 2) matrix

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Which one of the following vectors is NOT a valid eigenvector of the above matrix ?