1
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
For a periodic signal v(t) = 30 sin 100t + 10cos 300t + 6sin $${\rm{(500t + }}\,\pi /4)$$, the fundamental frequency in rad/s is
A
100
B
300
C
500
D
1500
2
GATE ECE 2013
MCQ (Single Correct Answer)
+1
-0.3
In the summer of 2012, in New Delhi, the mean temperature of Monday to Wednesday was 41ºC and of Tuesday to Thursday was 43ºC. If the temperature on Thursday was 15% higher than that of Monday, then the temperature in ºC on Thursday was
A
40
B
43
C
46
D
49
3
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
Find the sum to n terms of the series 10 + 84 + 734 +.........
A
$${{9\left( {{9^n} + 1} \right)} \over {10}} + 1$$
B
$${{9\left( {{9^n} - 1} \right)} \over 8} + 1$$
C
$${{9\left( {{9^n} - 1} \right)} \over 8} + n$$
D
$${{9\left( {{9^n} - 1} \right)} \over 8} + {n^2}$$
4
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16 km in the third quarter. The average speed of the car in km per hour over the entire journey is
A
30
B
36
C
40
D
24