Biology
General
Easy

Question

Study carefully the following figure representing greenhouse effect select the correct statements regarding this.

  1. Much of the long wavelength infrared radiations re-radiated by the earth’s surface are absorbed by the atmospheric greenhouse gases.    
  2. C O subscript 2 end subscript comma C H subscript 4 end subscript, CFCs and N subscript 2 end subscript O are the gases which are responsible for greenhouse effect.    
  3. The atmosphere is transparent to the incoming short wavelength radiations and is translucent to the wave length infra-red radiations.    
  4. All of these    

The correct answer is: All of these

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biology

Given figure represents bio magnifications of DDT in an aquatic food chain. Select the incorrect statement regarding this

Given figure represents bio magnifications of DDT in an aquatic food chain. Select the incorrect statement regarding this

biologyGeneral
General
biology

The graph given below represents the effect of sewage discharge on some important characteristics of river.

Select the correct option with respect to the peaks A and B.

– Increase in dissolved oxygen, reappearance of clean water organisms.
Peak B – Sharp decline in dissolved oxygen, disappearance of clean water organisms.
Peak B – Increase in dissolved oxygen, disappearance of clean water organisms.
Peak B – Sharp decline is dissolved O2, reappearance of clean water organisms.

The graph given below represents the effect of sewage discharge on some important characteristics of river.

Select the correct option with respect to the peaks A and B.

biologyGeneral
– Increase in dissolved oxygen, reappearance of clean water organisms.
Peak B – Sharp decline in dissolved oxygen, disappearance of clean water organisms.
Peak B – Increase in dissolved oxygen, disappearance of clean water organisms.
Peak B – Sharp decline is dissolved O2, reappearance of clean water organisms.
General
maths-

L t subscript x not stretchy rightwards arrow a end subscript fraction numerator x sin a minus a sin x over denominator x minus a end fraction

L t subscript x not stretchy rightwards arrow a end subscript fraction numerator x sin a minus a sin x over denominator x minus a end fraction

maths-General
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General
biology

The figure shows position of structures prior to digestion process

Consider the statements with reference to the diagram
I) The process will start as the bolus will be forced to move from oral cavity to pharynx
II) The process involves the coordinated activity of the tongue, soft palate, pharynx and oesophagus
IV) During the process, the respiratory passage is blocked and breathing is temporarily interrupted
Identify the steps shown and choose the steps correctly describing the process from the above given statements.

The figure shows position of structures prior to digestion process

Consider the statements with reference to the diagram
I) The process will start as the bolus will be forced to move from oral cavity to pharynx
II) The process involves the coordinated activity of the tongue, soft palate, pharynx and oesophagus
IV) During the process, the respiratory passage is blocked and breathing is temporarily interrupted
Identify the steps shown and choose the steps correctly describing the process from the above given statements.

biologyGeneral
General
biology

See the figure given below carefully
Identify the histology of which part of alimentary canal is given in the figure by choosing correct option.

See the figure given below carefully
Identify the histology of which part of alimentary canal is given in the figure by choosing correct option.

biologyGeneral
General
biology

Identify the figure and choose the correct option stating its part A to F

Identify the figure and choose the correct option stating its part A to F

biologyGeneral
parallel
General
biology

Identify the figure given below and choose the correct option

Identify the figure given below and choose the correct option

biologyGeneral
General
Maths-

If blank to the power of n C subscript 4 comma to the power of n C subscript 5 comma to the power of n C subscript 6 are in A.P., then the value of n is

Given,blank to the power of n C subscript 4 comma to the power of n C subscript 5 comma to the power of n C subscript 6 is in AP. So, 2 to the power of n C subscript 5 equals to the power of n C subscript 4 plus to the power of n C subscript 6
Now, 2 fraction numerator n factorial over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator n factorial over denominator 4 factorial left parenthesis n minus 4 right parenthesis factorial end fraction plus fraction numerator n factorial over denominator 6 factorial left parenthesis n minus 6 right parenthesis factorial end fraction
rightwards double arrow 2 fraction numerator 1 over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator 6 factorial left parenthesis n minus 6 right parenthesis factorial plus over denominator 4 factorial left parenthesis n minus 4 right parenthesis factorial end fraction fraction numerator 4 factorial left parenthesis n minus 4 right parenthesis factorial over denominator 6 factorial left parenthesis n minus 6 right parenthesis factorial end fraction
rightwards double arrow 2 fraction numerator 1 over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator left parenthesis n minus 6 right parenthesis factorial 4 factorial open square brackets 6 cross times 5 plus open parentheses n minus 4 close parentheses open parentheses n minus 5 close parentheses close square brackets over denominator 6 factorial left parenthesis n minus 6 right parenthesis factorial 4 factorial left parenthesis n minus 4 right parenthesis factorial end fraction
rightwards double arrow 2 fraction numerator 1 over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator 30 plus n squared minus 4 n minus 5 n plus 20 over denominator left parenthesis n minus 4 right parenthesis factorial 6 factorial end fraction
rightwards double arrow fraction numerator 2 left parenthesis n minus 4 right parenthesis factorial 6 factorial over denominator left parenthesis n minus 5 right parenthesis factorial 5 factorial end fraction equals n squared minus 9 n plus 50
rightwards double arrow fraction numerator 2 left parenthesis n minus 4 right parenthesis left parenthesis n minus 5 right parenthesis factorial cross times 6 cross times 5 factorial over denominator left parenthesis n minus 5 right parenthesis factorial 5 factorial end fraction equals n squared minus 9 n plus 50
rightwards double arrow 12 n minus 48 equals n squared minus 9 n plus 50
rightwards double arrow n squared minus 9 n plus 50 minus 12 n plus 48 equals 0
rightwards double arrow n squared minus 21 n plus 98 equals 0
rightwards double arrow n squared minus 14 n minus 7 n plus 98 equals 0
rightwards double arrow n left parenthesis n minus 14 right parenthesis minus 7 left parenthesis n minus 14 right parenthesis equals 0
rightwards double arrow left parenthesis n minus 7 right parenthesis left parenthesis n minus 14 right parenthesis equals 0
rightwards double arrow n equals 7 space o r space 14

If blank to the power of n C subscript 4 comma to the power of n C subscript 5 comma to the power of n C subscript 6 are in A.P., then the value of n is

Maths-General
Given,blank to the power of n C subscript 4 comma to the power of n C subscript 5 comma to the power of n C subscript 6 is in AP. So, 2 to the power of n C subscript 5 equals to the power of n C subscript 4 plus to the power of n C subscript 6
Now, 2 fraction numerator n factorial over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator n factorial over denominator 4 factorial left parenthesis n minus 4 right parenthesis factorial end fraction plus fraction numerator n factorial over denominator 6 factorial left parenthesis n minus 6 right parenthesis factorial end fraction
rightwards double arrow 2 fraction numerator 1 over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator 6 factorial left parenthesis n minus 6 right parenthesis factorial plus over denominator 4 factorial left parenthesis n minus 4 right parenthesis factorial end fraction fraction numerator 4 factorial left parenthesis n minus 4 right parenthesis factorial over denominator 6 factorial left parenthesis n minus 6 right parenthesis factorial end fraction
rightwards double arrow 2 fraction numerator 1 over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator left parenthesis n minus 6 right parenthesis factorial 4 factorial open square brackets 6 cross times 5 plus open parentheses n minus 4 close parentheses open parentheses n minus 5 close parentheses close square brackets over denominator 6 factorial left parenthesis n minus 6 right parenthesis factorial 4 factorial left parenthesis n minus 4 right parenthesis factorial end fraction
rightwards double arrow 2 fraction numerator 1 over denominator 5 factorial left parenthesis n minus 5 right parenthesis factorial end fraction equals fraction numerator 30 plus n squared minus 4 n minus 5 n plus 20 over denominator left parenthesis n minus 4 right parenthesis factorial 6 factorial end fraction
rightwards double arrow fraction numerator 2 left parenthesis n minus 4 right parenthesis factorial 6 factorial over denominator left parenthesis n minus 5 right parenthesis factorial 5 factorial end fraction equals n squared minus 9 n plus 50
rightwards double arrow fraction numerator 2 left parenthesis n minus 4 right parenthesis left parenthesis n minus 5 right parenthesis factorial cross times 6 cross times 5 factorial over denominator left parenthesis n minus 5 right parenthesis factorial 5 factorial end fraction equals n squared minus 9 n plus 50
rightwards double arrow 12 n minus 48 equals n squared minus 9 n plus 50
rightwards double arrow n squared minus 9 n plus 50 minus 12 n plus 48 equals 0
rightwards double arrow n squared minus 21 n plus 98 equals 0
rightwards double arrow n squared minus 14 n minus 7 n plus 98 equals 0
rightwards double arrow n left parenthesis n minus 14 right parenthesis minus 7 left parenthesis n minus 14 right parenthesis equals 0
rightwards double arrow left parenthesis n minus 7 right parenthesis left parenthesis n minus 14 right parenthesis equals 0
rightwards double arrow n equals 7 space o r space 14
General
maths-

L t subscript x not stretchy rightwards arrow a end subscript fraction numerator tan left parenthesis x minus a right parenthesis over denominator x squared minus a squared end fraction left parenthesis a not equal to 0 right parenthesis

L t subscript x not stretchy rightwards arrow a end subscript fraction numerator tan left parenthesis x minus a right parenthesis over denominator x squared minus a squared end fraction left parenthesis a not equal to 0 right parenthesis

maths-General
parallel
General
maths-

If f left parenthesis x right parenthesis equals open curly brackets table row cell fraction numerator x to the power of 2 end exponent over denominator 2 end fraction comma text end text text i end text text f end text text end text 0 less or equal than x less than 1 end cell row cell 2 x to the power of 2 end exponent minus 2 x plus fraction numerator 3 over denominator 2 end fraction comma blank text end text text i end text text f end text text end text 1 less or equal than x less or equal than 2 end cell end table close thentext end text stack l i m with x rightwards arrow 1 below   f left parenthesis x right parenthesis equals

stack l i m with x rightwards arrow 1 to the power of minus end exponent below   f left parenthesis x right parenthesis not equal to stack l i m with x rightwards arrow 1 to the power of plus end exponent below   f left parenthesis x right parenthesis

If f left parenthesis x right parenthesis equals open curly brackets table row cell fraction numerator x to the power of 2 end exponent over denominator 2 end fraction comma text end text text i end text text f end text text end text 0 less or equal than x less than 1 end cell row cell 2 x to the power of 2 end exponent minus 2 x plus fraction numerator 3 over denominator 2 end fraction comma blank text end text text i end text text f end text text end text 1 less or equal than x less or equal than 2 end cell end table close thentext end text stack l i m with x rightwards arrow 1 below   f left parenthesis x right parenthesis equals

maths-General
stack l i m with x rightwards arrow 1 to the power of minus end exponent below   f left parenthesis x right parenthesis not equal to stack l i m with x rightwards arrow 1 to the power of plus end exponent below   f left parenthesis x right parenthesis
General
Maths-

If blank to the power of n minus 1 end exponent C subscript 3 plus to the power of n minus 1 end exponent C subscript 4 greater than to the power of n C subscript 3 then

using blank to the power of n C subscript r space end subscript plus to the power of n C subscript r plus 1 end subscript equals to the power of n plus 1 end exponent C subscript r plus 1 end subscript
If blank to the power of n minus 1 end exponent C subscript 3 plus to the power of n minus 1 end exponent C subscript 4 greater than to the power of n C subscript 3
rightwards double arrow to the power of n minus 1 plus 1 end exponent C subscript 4 greater than to the power of n C subscript 3
rightwards double arrow to the power of n C subscript 4 greater than to the power of n C subscript 3
rightwards double arrow fraction numerator n factorial over denominator left parenthesis n minus 4 right parenthesis factorial 4 factorial end fraction greater than fraction numerator n factorial over denominator left parenthesis n minus 3 right parenthesis factorial 3 factorial end fraction
rightwards double arrow fraction numerator left parenthesis n minus 3 right parenthesis factorial 3 factorial over denominator left parenthesis n minus 4 right parenthesis factorial 4 factorial end fraction greater than 1
rightwards double arrow fraction numerator left parenthesis n minus 3 right parenthesis left parenthesis n minus 4 right parenthesis factorial 3 factorial over denominator left parenthesis n minus 4 right parenthesis factorial 4.3 factorial end fraction greater than 1
rightwards double arrow fraction numerator n minus 3 over denominator 4 end fraction greater than 1
rightwards double arrow n minus 3 greater than 4
rightwards double arrow n greater than 7

If blank to the power of n minus 1 end exponent C subscript 3 plus to the power of n minus 1 end exponent C subscript 4 greater than to the power of n C subscript 3 then

Maths-General
using blank to the power of n C subscript r space end subscript plus to the power of n C subscript r plus 1 end subscript equals to the power of n plus 1 end exponent C subscript r plus 1 end subscript
If blank to the power of n minus 1 end exponent C subscript 3 plus to the power of n minus 1 end exponent C subscript 4 greater than to the power of n C subscript 3
rightwards double arrow to the power of n minus 1 plus 1 end exponent C subscript 4 greater than to the power of n C subscript 3
rightwards double arrow to the power of n C subscript 4 greater than to the power of n C subscript 3
rightwards double arrow fraction numerator n factorial over denominator left parenthesis n minus 4 right parenthesis factorial 4 factorial end fraction greater than fraction numerator n factorial over denominator left parenthesis n minus 3 right parenthesis factorial 3 factorial end fraction
rightwards double arrow fraction numerator left parenthesis n minus 3 right parenthesis factorial 3 factorial over denominator left parenthesis n minus 4 right parenthesis factorial 4 factorial end fraction greater than 1
rightwards double arrow fraction numerator left parenthesis n minus 3 right parenthesis left parenthesis n minus 4 right parenthesis factorial 3 factorial over denominator left parenthesis n minus 4 right parenthesis factorial 4.3 factorial end fraction greater than 1
rightwards double arrow fraction numerator n minus 3 over denominator 4 end fraction greater than 1
rightwards double arrow n minus 3 greater than 4
rightwards double arrow n greater than 7
General
physics-

The length of a rectangular plate is measured by a meter scale and is found to be 10.0 cm. Its width is measured by vermier callipers as 1.00 cm. The least count of the meter scale and varmier callipers are 0.1cm and 0.01cm respectively (Obviously). Maximum permissible error in area measurement is

The length of a rectangular plate is measured by a meter scale and is found to be 10.0 cm. Its width is measured by vermier callipers as 1.00 cm. The least count of the meter scale and varmier callipers are 0.1cm and 0.01cm respectively (Obviously). Maximum permissible error in area measurement is

physics-General
parallel
General
physics-

A plane electromagnetic wave propagating in the x-direction has a wavelength of 60 mm. The electric field is in the y-direction and its maximum magnitude is 33Vm-1 The equation for the electric field as function of x and t is

A plane electromagnetic wave propagating in the x-direction has a wavelength of 60 mm. The electric field is in the y-direction and its maximum magnitude is 33Vm-1 The equation for the electric field as function of x and t is

physics-General
General
physics-

A plane electromagnetic wave of frequency 40 MHz travels in free space in the X-direction. At some point and at some instant, the electric field stack E with rightwards arrow on top has its maximum value of 750 N/C in Y-direction The wavelength of the wave is

A plane electromagnetic wave of frequency 40 MHz travels in free space in the X-direction. At some point and at some instant, the electric field stack E with rightwards arrow on top has its maximum value of 750 N/C in Y-direction The wavelength of the wave is

physics-General
General
physics-

A flood light is covered with a filter that transmits red light. The electric field of the emerging beam is represented by a sinusoidal plane wave E subscript x end subscript equals 36 s i n invisible function application open parentheses 1.20 cross times 10 to the power of 7 end exponent z minus 3.6 cross times 10 to the power of 15 end exponent t close parentheses V divided by m The average intensity of the sun will be

A flood light is covered with a filter that transmits red light. The electric field of the emerging beam is represented by a sinusoidal plane wave E subscript x end subscript equals 36 s i n invisible function application open parentheses 1.20 cross times 10 to the power of 7 end exponent z minus 3.6 cross times 10 to the power of 15 end exponent t close parentheses V divided by m The average intensity of the sun will be

physics-General
parallel

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