EC GATE 2014 PAPER 01 - Online Test
Q1. Read the statements: All women are entrepreneurs. Some women are doctors. Which of the following conclusions can be logically inferred from the above statements ?
Answer : Option D
Explaination / Solution:
No Explaination.
Q2. The statistics of runs scored in a series by four batsmen are provided in the
following table. Who is the most consistent batsman of these four ?
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. Find the odd one from the following group :
W, E, K, O I, Q, W, A F, N, T, X N, V, B, D
Answer : Option D
Explaination / Solution:
No Explaination.
Q4. For submitting tax returns, all resident males with annual income below Rs 10 lakh should fill up Form P and all resident females with income below Rs 8 lakh should fill up Form Q. All people with incomes above Rs 10 lakh should fill up Form R, except non residents with income above Rs 15 lakhs, who should fill up Form S. All others should fill Form T. An example of a person who should fill Form T is
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. The exports and imports (in crores of Rs.) of a country from 2000 to 2007
are given in the following bar chart. If the trade deficit is defined as excess of
imports over exports, in which year is the trade deficit 1/5th of the exports ?
Answer : Option D
Explaination / Solution:
No Explaination.
Q6. For a parallel plate transmission line, let v be the speed of propagation and Z be the characteristic impedance. Neglecting fringe effects, a reduction of the spacing between the plates by a factor of two results in
Answer : Option B
Explaination / Solution:
No Explaination.
Q7. The Boolean expression 
simplifies to
simplifies to
Answer : Option C
Explaination / Solution:
Given the Boolean expression
We simplify the expression as
Q8. A discrete time signal x[n] = sin (π2n) n being an integer, is
Answer : Option D
Explaination / Solution:
In the given options (A), (B) and (C), we have the periods respectively as
N1 = π
N2 = π2
N3 = π/3
None of the above period is an integer. Since, a discrete time signal has its period
an integer. So, all the three options are incorrect. Hence, we are left with the
option (D). i.e. the discrete time signal x[n] = sin (π2n) is not periodic.
Q9. The output F in the digital logic circuit shown in the figure is
Answer : Option A
Explaination / Solution:
In the logic circuit, the two inputs to the output AND gate are
So, we have the output
Q10. Consider the Boolean function, 
. Which one of the following is the complete set of essential prime implicants ?
. Which one of the following is the complete set of essential prime implicants ?
Answer : Option D
Explaination / Solution:
k -map for the Boolean function can be given as
Therefore, the simplified So P from for the Boolean function is
