ME GATE 2017 PAPER 02 - Online Test
Q1. All people in a certain island are either 'Knights' or 'Knaves' and each person knows every
other person's identity. Knights NEVER lie, and knaves ALWAYS lie.
P says “Both of us are knights”. Q says “None of us are knaves”.
Which one of the following can be logically inferred from the above?
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. X bullocks and Y tractors take 8 days to plough a field. If we halve the number of bullocks and
double the number of tractors, it takes 5days to plough the same field. How many days will it
take X bullocks alone to plough the field?
Answer : Option A
Explaination / Solution:
Given Number of days required that X bullocks and Y tractors to plough a field = 8 days ® (1) (i.e, X + Y ® 8D = 8X + 8Y ® 1dayNumber of days required that X/2 bullocks and 2y tractors to plough field = 5......(2)
Q3. The Laplace transform of tet is
Answer : Option B
Explaination / Solution:
Q4. If f(z) = (x2 +ay2) + ibxy is a complex analytic function of z = x + iy, where i = √-1, then
Answer : Option B
Explaination / Solution:
Clearly for b = 2 and a= –1 above Cauchy-Riemann equations holds
