CS and IT GATE 2014 Set-1 Questions with Answer

Ques 1 Aptitude


When a point inside of a tetrahedron (a solid with four triangular surfaces) is connected by straight lines to its corners, how many (new) internal planes are created with these lines? ____________


a is the correct answer.


Ques 2 Aptitude


Round-trip tickets to a tourist destination are eligible for a discount of 10% on the total fare. In addition, groups of 4 or more get a discount of 5% on the total fare. If the one way single person fare is Rs 100, a group of 5 tourists purchasing round-trip tickets will be charged Rs _________.


a is the correct answer.


Ques 3 Aptitude


If (z + 1/z)2=98, compute (z2 + 1/z2)


a is the correct answer.


Ques 4 Aptitude


The Palghat Gap (or Palakkad Gap), a region about 30 km wide in the southern part of the Western Ghats in India, is lower than the hilly terrain to its north and south. The exact reasons for the formation of this gap are not clear. It results in the neighbouring regions of Tamil Nadu getting more rainfall from the South West monsoon and the neighbouring regions of Kerala having higher summer temperatures. What can be inferred from this passage?

A

The Palghat gap is caused by high rainfall and high temperatures in southern Tamil Nadu and Kerala

B

The regions in Tamil Nadu and Kerala that are near the Palghat Gap are low-lying

C

The low terrain of the Palghat Gap has a significant impact on weather patterns in neighbouring parts of Tamil Nadu and Kerala

D

Higher summer temperatures result in higher rainfall near the Palghat Gap area



Ques 5 Aptitude


In a press meet on the recent scam, the minister said, "The buck stops here". What did the minister convey by the statement?

A

He wants all the money

B

He will return the money

C

He will assume final responsibility

D

He will resist all enquiries



Ques 6 Aptitude


Choose the most appropriate word from the options given below to complete the following sentence. He could not understand the judges awarding her the first prize, because he thought that her performance was quite __________.

A

superb

B

medium

C

mediocre

D

exhilarating



Ques 7 Aptitude


Which of the following options is the closest in meaning to the phrase underlined in the sentence below?

It is fascinating to see life forms cope with varied environmental conditions.

A

adopt to

B

adapt to

C

adept in

D

accept with



Ques 8 Aptitude


The roots of ax2 + bx + c are real and positive. a, b and c are real. Then ax2 + b|x| + c has

A

no roots

B

2 real roots

C

3 real roots

D

4 real roots



Ques 9 Aptitude


Geneticists say that they are very close to confirming the genetic roots of psychiatric illnesses such as depression and schizophrenia, and consequently, that doctors will be able to eradicate these diseases through early identification and gene therapy. On which of the following assumptions does the statement above rely?

A

Strategies are now available for eliminating psychiatric illnesses

B

Certain psychiatric illnesses have a genetic basis

C

All human diseases can be traced back to genes and how they are expressed

D

In the future, genetics will become the only relevant field for identifying psychiatric illnesses



Ques 10 Automata


Which one of the following is TRUE?

A

The Language L={ an bn | n≥ is regular }

B

The Language L={ an | n is prime }

C

The Language L={ w | w has 3k+1 b's for some k ∈ N with Σ ={a,b}} is regular

D

The Language L={ww | w ∈ Σ with Σ ={0,1}} is regular



Ques 11 C Programming


Consider the following program in C language:

#include <stdio.h>
main()
{
    int i;
    int *pi = &i;
    scanf("%d", pi);
    printf("%d∖n", i+5);
}


Which one of the following statements is TRUE?

A

Compilation fails.

B

Execution results in a run-time error.

C

On execution, the value printed is 5 more than the address of variable i.

D

On execution, the value printed is 5 more than the integer value entered.



Ques 12 COA


A machine has a 32-bit architecture, with 1-word long instructions. It has 64 registers, each of which is 32 bits long. It needs to support 45 instructions, which have an immediate operand in addition to two register operands. Assuming that the immediate operand is an unsigned integer, the maximum value of the immediate operand is ____________.


a is the correct answer.


Ques 13 Compiler Design


A canonical set of items is given below:
S → L. > R
Q → R.
On input symbol <, the set has

A

a shift-reduce conflict and a reduce-reduce conflict.

B

a shift-reduce conflict but not a reduce-reduce conflict.

C

a reduce-reduce conflict but not a shift-reduce conflict.

D

neither a shift-reduce nor a reduce-reduce conflict.



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