1.

Identify the water - image of the combination
"96FSH52"

2.

Out of the following options, select the word that is correctly spelt:

• COMRADERIE
• CAMARADERIE
• CAMEREDERIE
• CAMAREDERIE

3.

In what time will a 640 m long train cross an electric pole if its speed is 96 km/h?

• 24 sec
• 54 sec
• 5.4 sec
• 12.5 sec

4.

Let f : Z→ \(Z_2\), be a homomorphism of groups defined by
\(f(a) =   \begin{cases}    0,  & \quad \text{if } a \text{ is even}\\     1,  & \quad \text{if } a \text{ is odd}   \end{cases}\)

then Kerf is : 

• The set of all odd integers
• The set of all even integers
• The set of all natural numbers
• The set of all real numbers

5.

If the curl of vector \(\vec{A} = (2xy-3yz)\hat{i} +(x^2+axz −4z^2)\hat{j}-(3xy+byz)\hat{k}\) is zero, then a + b is equal to :

• 8
• -3
• 5
• 11

6.

If \(\overrightarrow F=2z\hat{i}-x\hat{j}+y\hat{k}\) and Vis the region bounded by the surface x=0,y=0,x=2,y=4,z=x²,z=2, then value of \(\iiint\limits_V\overrightarrow FdV\)is

• \(\frac{32}{15}(3\hat{j}+5\hat{k})\)
• \(\frac{32}{15}(3\hat{i}+5\hat{k})\)
• \(\frac{32}{15}(5\hat{i}+3\hat{k})\)
• \(\frac{32}{15}(3\hat{i}+5\hat{j})\)