1
GATE ECE 2014 Set 1
+2
-0.6
You are given three coins: one has heads on both faces, the second has tails on both faces, and the third has a head on one face and a tail on the other. You choose a coin at random and toss it, and it comes up heads. The probability that the other face is tails is
A
1/4
B
1/3
C
1/2
D
2/3
2
GATE ECE 2013
+2
-0.6
The set of values of p for which the roots of the equation 3x2 + 2x + p(p - 1) = 0 are of opposite sign is
A
$$\left( { - \infty ,0} \right)$$
B
$$\left( {0,1} \right)$$
C
$$\left( {1,\infty } \right)$$
D
$$\left( {0,\infty } \right)$$
3
GATE ECE 2013
+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
+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
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