EC GATE 2015 PAPER 01 - Online Test
Q1. Humpty Dumpty sits on a wall every day while having lunch. The wall sometimes breaks. A person sitting on the wall falls if the wall beaks.
Which one of the statements below is logically valid and can be inferred from the above sentences ?
Answer : Option B
Explaination / Solution:
No Explaination.
Q2. The following question presents a sentence, part of which is underlined. Beneath the sentence you find four ways of phrasing the underline part. Following the requirements of the standard written English, select the answer that produces the most effective sentence.
Tuberculosis, together with its effects, ranks one of the leading causes of death in India.
Answer : Option A
Explaination / Solution:
No Explaination.
Q3. Choose the word most similar in meaning to the given word:
Educe
Answer : Option C
Explaination / Solution:
No Explaination.
Q4. Read the following paragraph and choose the correct statement.
Climate change has reduced human security and threatened human well being. An ignored reality of human progress is that human security largely depends upon environmental security. But on the contrary, human progress seems contradictory to environmental security. To keep up both at the required level is a challenge to be addressed by one and all. One of the ways to curb the climate change may be suitable scientific innovations, while the other may be the Gandhian perspective on small scale progress with focus on sustainability.
Answer : Option B
Explaination / Solution:
No Explaination.
Q5. Choose the most appropriate word form the options given below to complete the following sentence.
The principal presented the chief guest with a _______, as token of appreciation.
Answer : Option B
Explaination / Solution:
No Explaination.
Q6. Choose the appropriate word/phrase, out of the four options given below, to complete the following sentence:
Frogs _______.
Answer : Option A
Explaination / Solution:
No Explaination.
Q7.
Consider a straight, infinitely long, current carrying conductor lying on the z-axis. Which one of the following plots (in linear scale) qualitatively represents the dependence of Hϕ on r , where Hϕ is the magnitude of the azimuthal component of magnetic field outside the conductor and r is the radial distance from the conductor ?
Answer : Option C
Explaination / Solution:
No Explaination.
Q8. 
The circuit shown in the figure has an ideal opamp. The oscillation frequency and the condition to sustain the oscillations, respectively, are
Answer : Option D
Explaination / Solution:
By virtual ground property, we write
We equate imaginary part to zero, i.e.
The condition to sustain the oscillation is
Q9. A vector 
is given by 
Which one of the following statements is TRUE?
is given by Which one of the following statements is TRUE?
Answer : Option A
Explaination / Solution:
Given vector,
If divergence 
then vector 
is solenoidal. So, we obtain
then vector is solenoidal. So, we obtainHence, it is solenoidal.
Again, if curl 
then 
is irrotational. So, we obtain
then is irrotational. So, we obtain
Q10. A region of negative differential resistance is observed in the current voltage characteristics of a silicon PN junction if
Answer : Option A
Explaination / Solution:
In case of Tunnel diode formed by PN junction, tunnel diode gives negative resistance and works in forward bias, and in tunnel diode both N and P regions are heavily doped.
