1
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+2
-0.6
Given Set $$\,\,\,A = \left\{ {2,3,4,5} \right\}\,\,\,$$ and Set $$\,\,\,B = \left\{ {11,12,13,14,15} \right\},\,\,\,$$ two numbers are randomly selected, one from each set. What is the probability that the sum of the two numbers equal $$16?$$
A
$$0.20$$
B
$$0.25$$
C
$$0.30$$
D
$$0.33$$
2
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
If $$g(x)=1-x$$ & $$h\left( x \right) = {x \over {x - 1}}\,\,$$ then $$\,\,{{g\left( {h\left( x \right)} \right)} \over {h\left( {g\left( x \right)} \right)}}\,\,\,$$ is
A
$${{h\left( x \right)} \over {g\left( x \right)}}$$
B
$${{ - 1} \over x}$$
C
$${{g\left( x \right)} \over {h\left( x \right)}}$$
D
$${x \over {{{\left( {1 - x} \right)}^2}}}$$
3
GATE CSE 2015 Set 1
Numerical
+2
-0
$$\,\int\limits_{1/\pi }^{2/\pi } {{{\cos \left( {1/x} \right)} \over {{x^2}}}dx = } $$ __________.
Your input ____
4
GATE CSE 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
$$\,\,\mathop {\lim }\limits_{x \to \infty } \,{x^{1/x}}\,\,$$ is
A
$$\infty $$
B
$$0$$
C
$$1$$
D
Not defined
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