Free Online Practice mock Test 1 for GATE 2016 Chemical engineering. GATE syllabus and Previous Year Question Papers with Answers Free Download.
1. Consider the following set of linear algebraic equations
x1 + 2x2 + 3x3 = 2
x2 + x3 = - 1
2x2 + 2x3 = 0
The system has
- A. a unique solution
- B. no solution
- C. an infinite number of solutions
- D. only the trivial solution
Answer: Option B
Explanation:
-NA-
2. If a and b are arbitrary constants, then the solution to the ordinary differential equation d
2y/dx
2 - 4y = 0 is
- A. y = ax + b
- B. y = ae-x
- C. y = asin 2x + bcos2x
- D. y = acosh 2x + bsinh 2x
Answer: Option D
Explanation:
-NA-
3. For the function f(t) = e
-t/T, the Taylor series approximation for t << T is
- A. 1 + t/T
- B. 1 - t/T
- C. 1 - t2/2T2
- D. 1 + t
Answer: Option B
Explanation:
-NA-
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
Answer: Option C
Explanation:
-NA-
5. Consider the following (2 * 2) matrix
Which one of the following vectors is NOT a valid eigenvector of the above matrix ?
Answer: Option D
Explanation:
-NA-
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