The mean of $1^{3}$,$2^{3}$,$3^{3}$,$4^{3}$,$5^{3}$,$6^{3}$,$7^{3}$ is
1). 20
2). 112
3). 56
4). 28
The value of $ [(0.87)^{2}+(0.13)^{2}(0.87)\times (0.26)]^{2013}$ is
1). 0
2). 2013
3). 1
4). -1
If $3^{2x-y}$=$3^{x+y}$=$\sqrt{27}$. then the value of $3^{x-y}$ will be
1). 3
2). $\frac{1}{\sqrt{3}}$
3). $\sqrt{3}$
4). $\frac{1}{\sqrt{27}}$
Arranging the following in ascending order $3^{34}$,$2^{51}$,$7^{17}$ , we get
1). $3^{34}$ > $2^{51}$ > $7^{17}$
2). $7^{17}$ > $2^{51}$ > $3^{34}$
3). $3^{34}$ > $7^{17}$ > $2^{51}$
4). $2^{51}$ > $3^{34}$ > $7^{17}$
A tap is dripping at a constant rate into a container.The level (L cm) of the water in the container is given by the equation L =$2^{t}$ where t is time taken in hours. Then the level of water in the container at the start is
1). 0 cm
2). 1 cm
3). 2 cm
4). 4 cm