1
GATE ME 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The value of $$\mathop {Lim}\limits_{x \to 0} \,{{1 - \cos \left( {{x^2}} \right)} \over {2{x^4}}}$$ is
A
$$0$$
B
$${{1 \over 2}}$$
C
$${{1 \over 4}}$$
D
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2
GATE ME 2015 Set 1
Numerical
+2
-0
Consider an ant crawling along the curve $$\,{\left( {x - 2} \right)^2} + {y^2} = 4,$$ where $$x$$ and $$y$$ are in meters. The ant starts at the point $$(4, 0)$$ and moves counter $$-$$clockwise with a speed of $$1.57$$ meters per second. The time taken by the ant to reach the point $$(2, 2)$$ is _________ (in seconds).
Your input ____
3
GATE ME 2015 Set 1
Numerical
+2
-0
The velocity field on an incompressible flow is given by
$$V = \left( {{a_1}x + {a_2}y + {a_3}z} \right)i + \left( {{b_1}x + {b_2}y + {b_3}z} \right)j\,$$ $$ + \left( {{c_1}x + {c_2}y + {c_3}z} \right)k,\,\,$$
where $${{a_1} = 2}$$ and $${{c_3} = - 4.}$$ The value of $${{b_2}}$$ is ________.
Your input ____
4
GATE ME 2015 Set 1
MCQ (Single Correct Answer)
+1
-0.3
The probability of obtaining at least two $$'SIX'$$ in throwing a fair dice $$4$$ times is
A
$$425/432$$
B
$$19/144$$
C
$$13/144$$
D
$$125/432$$
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