1
GATE ECE 2010
+2
-0.6
The Nyquist sampling rate for the signal $$s(t) = {{\sin \,(500\pi t)} \over {\pi \,t}} \times {{\sin \,(700\pi t)} \over {\pi \,t}}$$ is given by
A
400 Hz
B
600 Hz
C
1200 Hz
D
1400 Hz
2
GATE ECE 2010
+1
-0.3
Consider an angle modutated signal $$x(t) = 6\,\,\cos \,[2\,\pi \, \times {10^6}t + 2\sin (8000\pi t)\,4\cos (8000\pi t)]$$ V.

The average power of x(t) is

A
10 W
B
18 W
C
20 W
D
28 W
3
GATE ECE 2010
+2
-0.6
Hari (H), Gita (G), Irfan (I) and Saira (S) are siblings (i.e. brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than 3 years. Given the following facts:

i. Hari’s age + Gita’s age > Irfan’s age + Saira’s age.

ii. The age difference between Gita and Saira is 1 year. However, Gita is not the oldest and Saira is not the youngest.

iii. There are not twins.

In what order were they born (Oldest first)?
A
HSIG
B
SGHI
C
IGSH
D
IHSG
4
GATE ECE 2010
+2
-0.6
If 137+276=435 how much is 731+672?
A
534
B
1403
C
1623
D
1513
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