Maths-
General
Easy
Question
Which of the following is set B?
![](data:image/png;base64,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)
- {1,2,3,4,5}
- {2,4}
- {2,3,4}
- {3}
Hint:
Write all the elements included in set B and also in set A as set A is the subset of set B.
The correct answer is: {2,3,4}
Set B=![open curly brackets 2 comma 3 comma 4 close curly brackets](data:image/png;base64,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)
Related Questions to study
Maths-
Which of the following is set A?
![](data:image/png;base64,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)
Which of the following is set A?
![](data:image/png;base64,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)
Maths-General
Maths-
Which of the following is correct?
![](data:image/png;base64,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)
Which of the following is correct?
![](data:image/png;base64,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)
Maths-General
Maths-
In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like neither tea nor coffee?
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)
In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like neither tea nor coffee?
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)
Maths-General
Maths-
In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like either tea or coffee?
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)
In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like either tea or coffee?
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)
Maths-General
maths-
Let
be the set of six unit circles with centres
arranged as shown in the diagram. The relation
on A is defined by
then
![](data:image/png;base64,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)
Let
be the set of six unit circles with centres
arranged as shown in the diagram. The relation
on A is defined by
then
![](data:image/png;base64,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)
maths-General
Maths-
In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like only coffee?
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)
In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like only coffee?
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)
Maths-General
Maths-
In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like only tea?
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)
In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like only tea?
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)
Maths-General
Maths-
If n(A)=10, n(B)=20,c=5 in the given Veen diagram. Find a and b.
![](data:image/png;base64,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)
If n(A)=10, n(B)=20,c=5 in the given Veen diagram. Find a and b.
![](data:image/png;base64,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)
Maths-General
Maths-
Which of the following statement is correct?
![](data:image/png;base64,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)
Which of the following statement is correct?
![](data:image/png;base64,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)
Maths-General
maths-
How to define Wavy Curve Method f(x)?
How to define Wavy Curve Method f(x)?
maths-General
physics-
Two metal cubes
and
of same size are arranged as shown in the figure. The extreme ends of the combination are maintained at the indicated temperatures. The arrangement is thermally insulated. The coefficients of thermal conductivity of
and
are
and
, respectively. After steady state is reached, the temperature of the interface will be
![](data:image/png;base64,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)
Two metal cubes
and
of same size are arranged as shown in the figure. The extreme ends of the combination are maintained at the indicated temperatures. The arrangement is thermally insulated. The coefficients of thermal conductivity of
and
are
and
, respectively. After steady state is reached, the temperature of the interface will be
![](data:image/png;base64,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)
physics-General
physics-
The coefficient of thermal conductivity of copper is 9 times that of steel. In the composite cylindrical bar shown in the figure, what will be the temperature at the junction of copper and steel?
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)
The coefficient of thermal conductivity of copper is 9 times that of steel. In the composite cylindrical bar shown in the figure, what will be the temperature at the junction of copper and steel?
![](data:image/png;base64,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)
physics-General
physics-
A student takes
wax (specific heat
) and heats it till it boils. The graph between temperature and time is as follows. Heat supplied to the wax per minute and boiling point are respectively
![](data:image/png;base64,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)
A student takes
wax (specific heat
) and heats it till it boils. The graph between temperature and time is as follows. Heat supplied to the wax per minute and boiling point are respectively
![](data:image/png;base64,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)
physics-General
physics-
A composite metal bar of uniform section is made up of length
of copper,
of nickel and
of aluminium. Each part being in perfect thermal contact with the adjoining part. The copper end of the composite rod is maintained at
and the aluminium end at
. The whole rod is covered with belt so that no heat loss occurs at the sides. If
and
, then what will be the temperatures of
and
junctions respectively
![](data:image/png;base64,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)
A composite metal bar of uniform section is made up of length
of copper,
of nickel and
of aluminium. Each part being in perfect thermal contact with the adjoining part. The copper end of the composite rod is maintained at
and the aluminium end at
. The whole rod is covered with belt so that no heat loss occurs at the sides. If
and
, then what will be the temperatures of
and
junctions respectively
![](data:image/png;base64,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)
physics-General
physics-
The plots of intensity of radiation
wavelength of three black bodies at temperatures
are shown. Then,
![](data:image/png;base64,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)
The plots of intensity of radiation
wavelength of three black bodies at temperatures
are shown. Then,
![](data:image/png;base64,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)
physics-General