GATE CSE 2012 | GATE CSE Year Wise Previous Years Questions

GATE CSE 2012

MCQ (Single Correct Answer)

-0.3

Consider the following logical inferences.
$${{\rm I}_1}:$$ If it rains then the cricket match will not be played. The cricket match was played.
Inference: there was no rain.

$${{\rm I}_2}:$$ If it rains then the cricket match will not be played. It did not rain
Inference:the cricket match was played. which of the following is TRUE?

Both $${{\rm I}_1}$$ and $${{\rm I}_2}$$ are correct inferences

$${{\rm I}_1}$$ is correct but $${{\rm I}_2}:$$ is not a correct inference

$${{\rm I}_1}$$ is not correct but $${{\rm I}_2}$$ is a correct inference

Both $${{\rm I}_1}$$ and $${{\rm I}_2}$$ are not correct inferences

GATE CSE 2012

MCQ (Single Correct Answer)

-0.6

How many onto (or subjective) functions are there form an n-element $$(n\, \ge \,2)$$ set to a 2-element set ?

$${2^n}$$

$${2^n}\, - 1$$

$${2^n}\, - 2$$

$$2\,({2^n}\, - 2)$$

GATE CSE 2012

MCQ (Single Correct Answer)

-0.3

Consider a random variable X that takes values + 1 and-1 with probability 0.5 each.
The values of the cumulative distribution function F(x) at x = - 1 and + 1 are

0 and 0.5

0 and 1

0.5 and 1

0.25 and 0.75

GATE CSE 2012

MCQ (Single Correct Answer)

-0.6

Suppose a fair six-sided die is rolled once. If the value on the die is 1, 2 or 3 the die is rolled a second time. What is the probability that the sum total of values that turn up is at least 6?

10/21

5/12

2/3

1/6

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