Maths-
General
Easy
Question
5/6 can be represented in percentage as
- 84%
- 83.33 %
- 84 %
- 80 %
The correct answer is: 83.33 %
First divide the numerator by denominator
5/6= 0.833
And then convert fraction into percent we multiply it by 100 and divide it by 100.
0.833*100/100= 83.33/100
So 83.33 per cent that means 83.33%
Related Questions to study
Physics-
A cylindrical vessel of 90 cm height is kept filled upto the brim. It has four holes 1, 2, 3, 4 which are respectively at heights of 20 cm, 30 cm, 45 cm and 50 cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from
![](data:image/png;base64,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)
A cylindrical vessel of 90 cm height is kept filled upto the brim. It has four holes 1, 2, 3, 4 which are respectively at heights of 20 cm, 30 cm, 45 cm and 50 cm from the horizontal floor PQ. The water falling at the maximum horizontal distance from the vessel comes from
![](data:image/png;base64,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)
Physics-General
Physics-
A tank is filled with water up to a height H. Water is allowed to come out of a hole P in one of the walls at a depth D below the surface of water. Express the horizontal distance x in terms of H and D
![](data:image/png;base64,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)
A tank is filled with water up to a height H. Water is allowed to come out of a hole P in one of the walls at a depth D below the surface of water. Express the horizontal distance x in terms of H and D
![](data:image/png;base64,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)
Physics-General
Physics-
An L-shaped glass tube is just immersed in flowing water such that its opening is pointing against flowing water. If the speed of water current is v, then
![](data:image/png;base64,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)
An L-shaped glass tube is just immersed in flowing water such that its opening is pointing against flowing water. If the speed of water current is v, then
![](data:image/png;base64,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)
Physics-General
Physics-
A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross-section
and
, are
and
respectively. The difference in the levels of the liquid in the two vertical tubes is h
![](data:image/png;base64,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)
A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross-section
and
, are
and
respectively. The difference in the levels of the liquid in the two vertical tubes is h
![](data:image/png;base64,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)
Physics-General
Physics-
In this figure, an ideal liquid flows through the tube, which is of uniform cross-section. The liquid has velocities
and
, and pressure PA and PB at points A and B respectively
![](data:image/png;base64,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)
In this figure, an ideal liquid flows through the tube, which is of uniform cross-section. The liquid has velocities
and
, and pressure PA and PB at points A and B respectively
![](data:image/png;base64,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)
Physics-General
Physics-
A liquid flows in a tube from left to right as shown in figure.
and
are the cross-sections of the portions of the tube as shown. Then the ratio of speeds
will be
![](data:image/png;base64,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)
A liquid flows in a tube from left to right as shown in figure.
and
are the cross-sections of the portions of the tube as shown. Then the ratio of speeds
will be
![](data:image/png;base64,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)
Physics-General
Physics-
A ball of radius r and density r falls freely under gravity through a distance h before entering water. Velocity of ball does not change even on entering water. If viscosity of water is h, the value of h is given by
![](data:image/png;base64,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)
A ball of radius r and density r falls freely under gravity through a distance h before entering water. Velocity of ball does not change even on entering water. If viscosity of water is h, the value of h is given by
![](data:image/png;base64,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)
Physics-General
Physics-
In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the
![](data:image/png;base64,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)
In the following fig. is shown the flow of liquid through a horizontal pipe. Three tubes A, B and C are connected to the pipe. The radii of the tubes A, B and C at the junction are respectively 2 cm, 1 cm and 2 cm. It can be said that the
![](data:image/png;base64,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)
Physics-General
Physics-
An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is
![](data:image/png;base64,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)
An incompressible liquid flows through a horizontal tube as shown in the following fig. Then the velocity v of the fluid is
![](data:image/png;base64,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)
Physics-General
Physics-
A candle of diameter d is floating on a liquid in a cylindrical container of diameter D (D>>d) as shown in figure. If it is burning at the rate of 2cm/hour then the top of the candle will
![](data:image/png;base64,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)
A candle of diameter d is floating on a liquid in a cylindrical container of diameter D (D>>d) as shown in figure. If it is burning at the rate of 2cm/hour then the top of the candle will
![](data:image/png;base64,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)
Physics-General
Chemistry-
In Haber s process, (he ammonia is manufactured according to the following reaction:
The pressure inside the chamber is maintained at 200 atm and temperature at 500°C Generally, this reaction is carried out in presence of Fe catalyst The preparation of ammonia by Haber's process is an exothennic reaction. If the preparation follows the following temperature pressure relationship. for its % yield. Then for temperature T1, T2 and T3 the correct option is: 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)
In Haber s process, (he ammonia is manufactured according to the following reaction:
The pressure inside the chamber is maintained at 200 atm and temperature at 500°C Generally, this reaction is carried out in presence of Fe catalyst The preparation of ammonia by Haber's process is an exothennic reaction. If the preparation follows the following temperature pressure relationship. for its % yield. Then for temperature T1, T2 and T3 the correct option is: 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)
Chemistry-General
Chemistry-
Using above equations, Write down expression for K of the following reaction:![N subscript 2 end subscript O subscript 4 end subscript left parenthesis g right parenthesis rightwards harpoon over leftwards harpoon N subscript 2 end subscript left parenthesis g right parenthesis plus fraction numerator 1 over denominator 2 end fraction O subscript 2 end subscript left parenthesis g right parenthesis](data:image/png;base64,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)
Using above equations, Write down expression for K of the following reaction:![N subscript 2 end subscript O subscript 4 end subscript left parenthesis g right parenthesis rightwards harpoon over leftwards harpoon N subscript 2 end subscript left parenthesis g right parenthesis plus fraction numerator 1 over denominator 2 end fraction O subscript 2 end subscript left parenthesis g right parenthesis](data:image/png;base64,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)
Chemistry-General
Physics-
P-V diagram of an ideal gas is as shown in figure. Work done by the gas in process ABCD is
![](data:image/png;base64,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)
P-V diagram of an ideal gas is as shown in figure. Work done by the gas in process ABCD is
![](data:image/png;base64,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)
Physics-General
Physics-
An ideal monoatomic gas is taken round the cycle ABCDA shown in the PV diagram in the given fig. The work done during the cycle is
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)
An ideal monoatomic gas is taken round the cycle ABCDA shown in the PV diagram in the given fig. The work done during the cycle is
![](data:image/png;base64,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)
Physics-General
Physics-
The P-V diagram of 2 gm of helium gas for a certain process
is shown in the figure. what is the heat given to the gas during the process ![A rightwards arrow B](data:image/png;base64,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)
![](data:image/png;base64,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)
The P-V diagram of 2 gm of helium gas for a certain process
is shown in the figure. what is the heat given to the gas during the process ![A rightwards arrow B](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACoAAAANCAYAAADfavzVAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAATlJREFUeNpjYMAPChjoD34A8R8gfgjEd4F4ExBL4tMQDsS/gJiFjo5UAeILaGLNQDwflwZBIL4ExLuBOICODgXZtRRNLAiLGBzMBOJIII4H4ikUWFwLDSViQT0Ql6OJLQRiD2yKLYF4C5QtDk0n5ILlQPwJ6mliwCpoqDIBsQEQz8WVT0Dp8QwQyyKJnQNiDTIdKg417z8QzwZiDgLqb0HVgvAXXCEJC/oSNLFWIM7CY/h/EvAqPOYwQR0HAmxA7ALEx4FYDV2hBjT00IE9tIigNERnQh2AC5gD8V40sWgg7kJXeBhPSJBbTJGSRiOhaRIZxEKTDBykAfEEAhZ60TjXTwLiRDSxucielISWmTx4DEkm4BFqgHVImUcUiEOhhT8bcpHgQ8AQaWiOpCV4h5TUfkBjUZphqAEAnbZPzIw7dKMAAABkdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPkE8L21pPjxtbz4mI3gyMTkyOzwvbW8+PG1pPkI8L21pPjwvbWF0aD5/04SHAAAAAElFTkSuQmCC)
![](data:image/png;base64,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)
Physics-General