Some of the events occur during life cycle of plasmodium are given below. Identify the correct statement. 

(1) Female mosquito take up sporozoites with blood meal 

(2) The sporozoites reproduce sexually in liver cells 

(3) When mosquito bites a man, gametocytes are injected 

(4) The gametocytes develop in RBC

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

A body falls freely for 10 sec. Its average velocity during this journey (take g = 10 ms^-2 ) 

(1) 10 ms^-1 

(2) 5 ms^-1 

(3) 100 ms^-1 

(4) 50 ms^-1

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

Identify from the following group of animals, which exhibit oestrous cycle.

(1) Monkey, ape, man and elephant

(2) Lion, deer, dog and cow

(3) Lion, dog, monkey and ape

(4) Cow, monkey, elephant and ape

The function f(x) = [x] the greatest integer function is continuous at 

(1) 4 

(2) – 2 

(3) 1.5 

(4) 1

The codons UUU and UUC codes for phenylalanine only. This feature of genetic code is called

(1) degenerate

(2) commaless

(3) non-ambiguous

(4) non-overlapping

The value of x if (i + j + k) is a unit vector is

(1) ± 3

(2) ±1/2

(3) ±1/√3

(4) ± 3

The length of latus rectum of the parabola 4y² + 3x + 3y + 1 = 0 is

(1) 7 

(2) 3/4 

(3) 4/3 

(4) 12

The value of tan π/8 is equal to 

(1) √2 + 1

(2) 1-√2

(3) 1/2

(4) 1/√2+1