If cos α, cos β, cos γ  are the direction cosines of a vector a,then cos 2α + cos 2β + cos 2γ  is equal to 

(1) 3 

(2) 0 

(3) 2

(4) -1

The value of tan π/8 is equal to 

(1) √2 + 1

(2) 1-√2

(3) 1/2

(4) 1/√2+1

The set A has 4 elements and the Set B has 5 elements then the number of injective mappings that can be defined from A to B is 

(1) 72 

(2) 120 

(3) 144 

(4) 60

A plant is provided with ideal conditions for photosynthesis and supplied with isotope ¹⁴CO₂. When the products of the process are analysed carefully, what would be the nature of products? 

(1) Both glucose and oxygen are normal 

(2) Both glucose and oxygen are labelled 

(3) Only glucose is labelled and oxygen is normal 

(4) Only oxygen is labelled but glucose is normal

If x^m yⁿ = (x + y)^{m + n} then dy/dx is equal to 

(1) xy

(2) y/x

(3) x +y/xy

(4) 0

Desired genes have been introduced into transgenic animals to obtain large scale production of useful biological products encoded by these genes. This approach is generally referred to as 

(1) gene therapy 

(2) hybridoma technology 

(3) down stream processing 

(4) molecular farming

Identify the incorrect statement from the following. 

(1) Response of T-cells is called cell mediated immunity 

(2) B-cells produce antibody 

(3) Macrophages are the phagocytic cells 

(4) Interferons kill viruses

Pick the hormone which is not secreted by human placenta. 

(1) Prolactin 

(2) hCG 

(3) Estrogen

(4) hPL

The value of the sin 1° + sin 2° + … + sin 359° is equal to 

(1) 1 

(2) 180 

(3) 0 

(4) -1

The composition of ‘copper matte’ is, 

(1) Cu₂S + Cu₂O 

(2) Cu₂O + FeS 

(3) Cu₂S + FeS 

(4) Cu₂S + FeO