Sample paper for GATE Chemical Engg

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GATE Chemical Engineering exam questions, i am giving here:

Q.1 The number of emails received on six consecutive days is 11, 9, 18, 18, 4 and 15, respectively.
What are the median and the mode for these data?
(A) 18 and 11, respectively (B) 13 and 18, respectively
(C) 13 and 12.5, respectively (D) 12.5 and 18, respectively

Q.2 For two rolls of a fair die, the probability of getting a 4 in the first roll and a number less than 4 in
the second roll, up to 3 digits after the decimal point, is _________

Q.3 Which of the following statements are TRUE?
P. The eigenvalues of a symmetric matrix are real
Q. The value of the determinant of an orthogonal matrix can only be +1
R. The transpose of a square matrix A has the same eigenvalues as those of A
S. The inverse of an ‘n × n’ matrix exists if and only if the rank is less than ‘n’
(A) P and Q only (B) P and R only (C) Q and R only (D) P and S only

Q 4 The thermodynamic state of a closed system containing a pure fluid changes from (T1, p1) to
(T2, p2), where T and p denote the temperature and pressure, respectively. Let Q denote the heat
absorbed (> 0 if absorbed by the system) and W the work done (> 0 if done by the system). Neglect
changes in kinetic and potential energies. Which one of the following is CORRECT?
(A)Q is path-independent and W is path-dependent
(B)Q is path-dependent and W is path-independent
(C) (Q − W) is path-independent
(D) (Q + W) is path-independent

Q 5 In the Tyler standard screen scale series, when the mesh number increases from 3 mesh to 10 mesh,
then
(A) the clear opening decreases
(B) the clear opening increases
(C) the clear opening is unchanged
(D) the wire diameter increases
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