GATE CSE topic:computing PYQs & Answers — Page 29

Questions 281–290 of 975. Imported answers require independent review unless marked reviewed.

Let

be a function such that

, where

is the set of all real numbers. The set of all points where

is NOT differentiable is

Your answerChoose one option.

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Consider a computer with a 4 MHz processor. Its DMA controller can transfer 8 bytes in 1 cycle from a device to main memory through cycle stealing at regular intervals. Which one of the following is the data transfer rate (in bits per second) of the DMA controller if 1% of the processor cycles are used for DMA?

Your answerChoose one option.

2,56,000

3,200

25,60,000

32,000

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The product of all eigenvalues of the matrix

Your answerChoose one option.

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Let

and

be the following propositions:

: Fail grade can be given.

: Student scores more than 50% marks.

Consider the statement: “Fail grade cannot be given when student scores more than 50% marks.”

Which one of the following is the CORRECT representation of the above statement in propositional logic?

Your answerChoose one option.

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Consider a system that uses 5 bits for representing signed integers in 2’s complement format. In this system, two integers

and

are represented as

and

. Which one of the following operations will result in either an arithmetic overflow or an arithmetic underflow?

Your answerChoose one option.

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Consider the following C program. Assume parameters to a function are evaluated from right to left.

#include <stdio.h>

int g(int p) { printf("%d", p); return p; }

int h(int q) { printf("%d", q); return q; }

void f(int x, int y) {

g(x);

h(y);

}

int main() {

f(g(10),h(20));

}

Which one of the following options is the CORRECT output of the above C program?

Your answerChoose one option.

20101020

10202010

20102010

10201020

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Consider a permutation sampled uniformly at random from the set of all permutations of

for some

. Let

be the event that 1 occurs before 2 in the permutation, and

the event that 3 occurs before 4. Which one of the following statements is TRUE?

Your answerChoose one option.

The events

and

are mutually exclusive

The events

and

are independent

Either event

must occur

Event

is more likely than event

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The format of a single-precision floating-point number as per the IEEE 754 standard is:

Sign (1bit) | Exponent (8 bits) | Mantissa (23 bits)

Choose the largest floating-point number among the following options.

Your answerChoose one option.

Sign: 0; Exponent: 011 1111; Mantissa: 1111 1111 1111 1111 1111 111

Sign: 0; Exponent: 111 1110; Mantissa: 1111 1111 1111 1111 1111 111

Sign: 0; Exponent: 111 1111; Mantissa: 1111 1111 1111 1111 1111 111

Sign: 0; Exponent: 011 1111; Mantissa: 0000 0000 0000 0000 0000 000

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Which one of the following statements is FALSE?

Your answerChoose one option.

In the cycle stealing mode of DMA, one word of data is transferred between an I/O device and main memory in a stolen cycle

For bulk data transfer, the burst mode of DMA has a higher throughput than the cycle stealing mode

Program I/O mechanism has a better CPU utilization than the interrupt driven I/O mechanism

The CPU can start executing in interrupt service routine faster with vectored interrupts than with non-vectored interrupts

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Let

be the recurrence relation defined as follows:

and

for

Which one of the following statements is TRUE?

Your answerChoose one option.

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GATE CSE topic:computing PYQs

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