1
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
Match the following and choose the correct combination

Group $$-$$ $${\rm I}$$
$$E.$$ Newton $$-$$ Raphson method
$$F.$$ Runge-Kutta method
$$G.$$ Simpson's Rule
$$H.$$ Gauss elimination

Group $$-$$ $${\rm II}$$
$$(1)$$ Solving non-linear equations
$$(2)$$ Solving linear simultaneous equations
$$(3)$$ Solving ordinary differential equations
$$(4)$$ Numerical integration method
$$(5)$$ Interpolation
$$(6)$$ Calculation of eigen values

A
$$E - 6,\,\,F - 1,\,\,G - 5,\,\,H - 3$$
B
$$E - 1,\,\,F - 6,\,\,G - 4,\,\,H - 3$$
C
$$E - 1,\,\,F - 3,\,\,G - 4,\,\,H - 2$$
D
$$E - 5,\,\,F - 3,\,\,G - 4,\,\,H - 1$$
2
GATE ECE 2005
MCQ (Single Correct Answer)
+1
-0.3
In what range should $$Re(s)$$ remain so that the laplace transform of the function $${e^{\left( {a + 2} \right)t + 5}}$$ exists?
A
$${\mathop{\rm Re}\nolimits} \left( s \right) > a + 2$$
B
$${\mathop{\rm Re}\nolimits} \left( s \right) > a + 7$$
C
$${\mathop{\rm Re}\nolimits} \left( s \right) < 2$$
D
$${\mathop{\rm Re}\nolimits} \left( s \right) > a + 5$$
3
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
The Dirac delta Function $$\delta \left( t \right)$$ is defined as
A
$$\delta \left( t \right) = \left\{ {\matrix{ 1 & {t = 0} \cr {0\,{\,^,}} & {otherwise} \cr } } \right.$$
B
$$\delta \left( t \right) = \left\{ {\matrix{ \infty & {t = 0} \cr {0\,\,,} & {otherwise} \cr } } \right.$$
C
$$\delta \left( t \right) = \left\{ {\matrix{ 1 & {t = 0} \cr {0\,\,,} & {otherwise} \cr } } \right.$$ and $$\int\limits_{ - \infty }^\infty {\delta \left( t \right)\,dt = 1} $$
D
$$\delta \left( t \right) = \left\{ {\matrix{ \infty & {t = 0} \cr {0\,\,,} & {otherwise} \cr } } \right.$$ and $$\int\limits_{ - \infty }^\infty {\delta \left( t \right)\,dt = 1} $$
4
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
What memory address range is NOT represented by chip 1 and chip 2 in figure? A0 to A15 in this figure are the address lines and CS means Chip Select. GATE ECE 2005 Microprocessors - Pin Details of 8085 and Interfacing with 8085 Question 12 English
A
0100H - 02FFH
B
1500H - 16FFH
C
F900H - FAFFH
D
F800H – F9FFH
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