1
GATE CSE 2012
+1
-0.3
What is the correct translation of the following statement into mathematical logic? "Some real numbers are rational"
A
$$\exists x\left( {real\left( x \right) \vee rational\left( x \right)} \right)$$
B
$$\forall x\left( {real\left( x \right) \to rational\left( x \right)} \right)$$
C
$$\exists x\left( {real\left( x \right) \wedge rational\left( x \right)} \right)$$
D
$$\exists x\left( {rational\left( x \right) \to real\left( x \right)} \right)$$
2
GATE CSE 2012
+1
-0.3
The truth table

Represents the Boolean function

A
$$X$$
B
$$X+Y$$
C
$$X \oplus Y$$
D
$$Y$$
3
GATE CSE 2012
+1
-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
A
0 and 0.5
B
0 and 1
C
0.5 and 1
D
0.25 and 0.75
4
GATE CSE 2012
+2
-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?
A
10/21
B
5/12
C
2/3
D
1/6
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