Find the remainder when x power 3 plus 3x power 2 plus 3x plus 1 is divided by 5 plus 2x

Which of the following can be used as the halide component for Friedel Crafts reaction?

Option: 1

Chlorobenzene


Option: 2

Bromobenzene


Option: 3

Chloroethene


Option: 4

Isopropyl chloride


Consider the junction diode as ideal. The value of current flowing through AB is:

 

Option: 1

0 A


Option: 2

10-2 A


Option: 3

10-1 A


Option: 4

10-3 A


What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?

Option: 1

\sqrt {\text{gR}}


Option: 2

\sqrt {\text{2gR}}


Option: 3

\sqrt {\text{3gR}}


Option: 4

\sqrt {\text{5gR}}


Which of the following statements are correct?

(a)    Centre of mass of a body always coincides with the centre of gravity of the body.

(b)    Centre of mass of a body is the point at which the total gravitational torque on the body is zero.

(c)    A couple on a body produce both translational and rotational motion in a body.

(d)    Mechanical advantage greater than one means that small effort can be used to lift a large load.

Option: 1

(b) and (d)


Option: 2

(a) and (b)


Option: 3

(b) and (c)


Option: 4

(c) and (d)


Which of the following cell organelles is responsible for extracting energy from carbohydrates to form ATP?

 

Option: 1

Lysosome


Option: 2

Ribosome


Option: 3

Chloroplast


Option: 4

Mitochondrion


Which of the following has the longest C-O bond length? Free C-O bond length in CO is 1.128\,\text{{\AA}}.

Option: 1

Ni(CO)4


Option: 2

[Co(CO)_4]^-


Option: 3

[Fe(CO)4]2-


Option: 4

[Mn(CO)6]+


What is the function of germ pore?

Option: 1

Absorption of water for seed germination


Option: 2

Intiation of pollen tube


Option: 3

Release of male gametes


Option: 4

Emergence of radical


In gobar gas, the maximum amount is that of:

Option: 1

Methane


Option: 2

Propane


Option: 3

Carbon dioxide


Option: 4

Butane


In an ammeter 0.2% of main current passes through the galvanometer. If resistance of galvanometer is G, the resistance of ammeter will be:

Option: 1

\frac{1}{499}\text{G}


Option: 2

\frac{499}{500}\text{G}


Option: 3

\frac{1}{500}\text{G}


Option: 4

\frac{500}{499}\text{G}


The sum of coordination number and oxidation number of the metal M in the complex [M(en)2 (C2O4)]Cl (where en is ethylenediamine) is:

Option: 1

9


Option: 2

6


Option: 3

7

 


Option: 4

8


If \vec{\text{F}} is the force acting on a particle having position vector \vec{\text{r}} and \vec{\tau} be the torque of this force about the origin, then:

Option: 1

\vec{\text{r}}\ \cdot \ \vec{\tau}\ >\ 0\ \text{and}\ \vec{\text{F}}\ \cdot \ \vec{\tau}\ < \ 0


Option: 2

\vec{\text{r}}\ \cdot \ \vec{\tau}\ =\ 0\ \text{and}\ \vec{\text{F}}\ \cdot \ \vec{\tau}\ = \ 0


Option: 3

\vec{\text{r}}\ \cdot \ \vec{\tau}\ =\ 0\ \text{and}\ \vec{\text{F}}\ \cdot \ \vec{\tau}\ \neq \ 0


Option: 4

\vec{\text{r}}\ \cdot \ \vec{\tau}\ \neq\ 0\ \text{and}\ \vec{\text{F}}\ \cdot \ \vec{\tau}\ = \ 0


Which one of the following equations of motion represents simple harmonic motion?

Where k, k0, k1 and a are all positive.

Option: 1

acceleration = - k(x + a)


Option: 2

acceleration = k(x + a)


Option: 3

acceleration = kx


Option: 4

acceleration = -k0x+k1x2

 


Aerobic respiratory pathway is appropriately termed:

Option: 1

Parabolic


Option: 2

Amphibolic


Option: 3

Anabolic


Option: 4

Catabolic


In the reaction \text{BrO}^{-}_{3}\ (\text{aq})\ + 5\ \text{Br}_{\left ( \text{aq} \right )}^{-}\ +6\text{H}^{+}\rightarrow 3\ \text{Br}_{2}(\text{l})+3\ \text{H}_{2}\text{O}_{\left ( 1 \right )}. The rate of appearance of bromine (Br2) is related to rate of disappearance of bromide ions as following:

Option: 1

\frac{\text{d}(\text{Br})_{2}}{\text{dt}}=-\frac{5}{3}\ \frac{\text{d}(\text{Br}^{-})}{\text{dt}}


Option: 2

\frac{\text{d}(\text{Br})_{2}}{\text{dt}}=\frac{5}{3}\ \frac{\text{d}(\text{Br}^{-})}{\text{dt}}


Option: 3

\frac{\text{d}(\text{Br})_{2}}{\text{dt}}=\frac{3}{5}\ \frac{\text{d}(\text{Br}^{-})}{\text{dt}}


Option: 4


Predict the product:

Option: 1


Option: 2


Option: 3


Option: 4


peripatus is a connection link between:

Option: 1

Mollusca and Echinodermata


Option: 2

Annelida and Arthropoda


Option: 3

Coelenterata and Porifera


Option: 4

Ctenophora and Platyhelminthes


Which one of the following is now being commercially produced by biotechnological procedures?

Option: 1

Nicotine


Option: 2

Morphine


Option: 3

Quinine


Option: 4

Insulin


In genetic engineering, a DNA segment (gene) of interest is transferred to the host cell through a vector. Consider the following four agents (A-D) in this regard and select the correct option about which one or more of these can be used as a
vector/vectors

Statements

(A) A bacterium

(B) Plasmid

(C) Plasmodium

(D) Bacteriophage
Options:

Option: 1

(A), (B) and (D) only


Option: 2

(A) only


Option: 3

(A) and (C) only


Option: 4

(B) and (D) only


Select the correct combination of the statements (a-d) regarding the characteristics of certain organisms

(a) Methanogens are Archaebacteria which produce methane in marshy areas

(b) Nostoc is a filamentous blue-green alga which fixes atmospheric nitrogen

(c) Chemosynthetic autotrophic bacteria synthesize cellulose from glucose

(d) Mycoplasma lack a cell wall and can survive without oxygen

The correct statements are

Option: 1

(b), (c)


Option: 2

(a), (b), (c)


Option: 3

(b), (c), (d)


Option: 4

(a), (b), (d)


In which of the following molecules the central atom does not have sp3 hybridization?

Option: 1

CH4


Option: 2

SF4


Option: 3

\text{BF}_{4}^{-}


Option: 4

\text{NH}_{4}^{+}


A particle moves a distance x in time t according to equation x = (t + 5)-1. The acceleration of particle is proportional to

Option: 1

(Velocity)2/3


Option: 2

(Velocity)3/2


Option: 3

(Distance)2


Option: 4

(Distance)-2


Which one of the following statements about all the four of Spongilla, Leech, Dolphin and Penguin is correct?

Option: 1

All are bilaterally symmetrical


Option: 2

Penguin is homoiothermic while the remaining three are poikilothermic


Option: 3

Leech is a fresh water form while all others are marine


Option: 4

Spongilla has special collared cells called choanocytes, not found in the remaining three


Select the two correct statements out of the four (a-d) given below about lac operon.

  1. Glucose or galactose may bind with the repressor and inactivate it
  2. In the absence of lactose the repressor binds with the operator region
  3. The z-gene codes for permease
  4. This was elucidated by Francois Jacob and Jacque Monod

         The correct statements are

Option: 1

(a) and (b)


Option: 2

(b) and (c)


Option: 3

(a) and (c)


Option: 4

(b) and (d)


The technical term used for the androecium in a flower of China rose (Hibiscus rosasinensis) is

Option: 1

Polyadelphous


Option: 2

Monadelphous


Option: 3

Diadelphous


Option: 4

Polyandrous


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