# GATE Official Questions

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The multiple choice questions in all the papers and sections will comprises of four answers, Out of which only one is correct. The types of questions in a paper may be on the basis of relevant logic.

The questions on the basis of above four logics may be a mix of single stand alone statement/phrase/data type questions, combination of option codes type questions or match items types questions.

## Recall

These are completely dependent on facts, principles, formulae or laws of the discipline. The candidate needs to find out the answer either from his or her memory of the subject or at most from a one-line computation. For Example-

1. During machining maximum heat is produced-
1. in flank face
2. in rake face
3. in shear zone
4. due to friction between chip and tool

## Comprehension

The aim of these questions is to evaluate and examine the candidate՚s understanding of the basics of his or her discipline by requiring him or her to state and mention simple conclusions from the basic ideas.

Example

1. A DC motor requires a starter in order
1. to develop a starting torque
2. to compensate for auxiliary field ampere turns
3. to limit armature current at starting
4. to provide regenerative braking

## Application

In these questions, the candidate is expected to apply his or her knowledge either through computation or by logical reasoning.

Example

1. The sequent depth ratio of a hydraulic jump in a rectangular channel is 16.48. The Froude number at the beginning of the jump is:
1. 10.0
2. 5.0
3. 12.0
4. 8.0

## Analysis and Synthesis

These can be linked questions, where the answer to the first question of the pair is required in order to answer its successor. Or these can be common data questions, in which two questions share the same data but can be solved independently of one another.

Common data questions:

Multiple questions may be linked to a common data problem, passage and the like. Two or three questions can be formed from the given common data problem. Each question is independent and its solution obtainable from the above problem data/passage directly (Answer of the previous question is not required to solve the next question) . Each question under this group will carry two marks.

Example

Common Data, for instance, Questions 55 and 56 in main paper:

Let X and Y be jointly distributed random variables such that the conditional distribution of Y, given X = x, is uniform on the interval (x − 1, x + 1) . Suppose E (X) = 1 and Var (X) = .

1. The mean of the random variable Y is-
1. 1
2. 2b
2. The variance of the random variable Y is-
1. 1
2. 2/

These questions are of problem solving type. A problem statement is followed by two questions based on the problem statement. The two questions are designed such that the solution to the second question depends upon the answer to the first one. In other words, the first answer is an intermediate step in working out the second answer. Each question in such linked answer questions will carry two marks.

Example

Statement for Linked Answer Questions, for instance, for Questions 59 and 60 in Main Paper:

Consider a machine with a byte addressable main memory of 216 bytes. Assume that a direct mapped data cache consisting of 32 lines of 64 bytes each is used in the system. A 50 × 50 two dimensional array of bytes is stored in the main memory starting from memory location 1100H. Imagine that the data cache is initially empty. The complete array is accessed twice. Assume that the contents of the data cache do not change in between the two accesses.

1. How many data cache misses will occur in aggregate?
1. 48
2. 50
3. 56
4. 59
2. Which of the following lines of the data cache will be substituted by new blocks in accessing the array for the second time?
1. line 4 to line 11
2. line 4 to line 12
3. line 0 to line 7
4. line 0 to line 8