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Which constitutional amendment extended the reservation of seats for Scheduled Castes and Scheduled Tribes in the House of the People and the Legislative Assemblies of the States for another 10 years?

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Important Questions on Linear Inequalities

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Two finite sets respectively have

x

and

y

number of elements. The total number of sub sets of the first is

56

more than the total no. of sub sets of the second. The value of

x, y

are respectively __________

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Two newspapers

A

and

B

are published in a city. It is known that

25 %

of the city population reads

A

and

20 %

reads

B

while

8 %

reads both

A

and

B .

Further,

30 %

of those who read

A

but not

B

look into advertisements and

40 %

of those who read

B

but not

A

also look into advertisements, while

50 %

of those who read both

A

and

B

look into advertisements. Then the percentage of the population who look into advertisements is:

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

In a class of

140

students numbered

1

140

, all even numbered students opted Mathematics course, those whose number is divisible by

3

opted Physics course and those whose number is divisible by

5

opted Chemistry course. Then the number of students who did not opt for any of the three courses is:

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

The set of cubes of natural numbers is

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

The following Venn diagram indicates

Question Image

HARD

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Let

a > 0, a \neq 1

. Then, the set

S

of all positive real numbers

b

satisfying

(1 + a^{2}) (1 + b^{2}) = 4 a b

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Which of the following is an empty set?

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Let

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} .

Then the number of subsets of

A

containing two or three elements is

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

During an adiabatic process, the pressure of a mixture of monatomic and diatomic gases is found to be proportional to the cube of the temperature. Find the value of

γ = \frac{C_{p}}{C_{v}}

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Water is used as a coolant because

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Describe the total degrees of freedom for mono-atomic molecule, diatomic molecule and triatomic molecule.

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

The ratio

γ = \frac{C_{p}}{C_{v}}

for a gas mixture consisting of

8 g

of helium and

16 g

of oxygen is

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

The temperature of a silver bar rises by

10 ° C

when it absorbs

1.23 kJ

of energy by heat. The mass of the bar is

525 g

. Determine the specific heat of silver.

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Derive the ratio of two specific heat capacities of mono-atomic, diatomic and triatomic molecules.

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

In the above question, if

γ = 1.5

, the gas may

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Estimate the total number of air molecules in a room of capacity

25 m^{3}

at a temperature of

27 ° C

EASY

Mathematics>Algebra>Linear Inequalities>Types of Inequalities

When an ideal diatomic gas is heated at constant pressure, the fraction of the heat energy supplied which increases the internal energy of the gas is

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

500 J

of heat energy is removed from

4 moles

of a monoatomic ideal gas at constant volume. The temperature drops by

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Mathematics>Algebra>Linear Inequalities>Types of Inequalities

Three moles of oxygen are mixed with two moles of helium. What will be the ratio of specific heats at constant pressure and constant volume for the mixture?

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A gaseous mixture enclosed in a vessel contains

1 g

mole of a gas

A

(with

γ = 5 / 3

) and another gas

B

(with

γ = 7 / 5

) at a temperature

T

. The gases

A

and

B

do not react with each other and are assumed to be ideal. The number of gram moles of

B

γ

for the gaseous mixture is

19 / 13

is:

Which constitutional amendment extended the reservation of seats for Scheduled Castes and Scheduled Tribes in the House of the People and the Legislative Assemblies of the States for another 10 years?

Important Questions on Linear Inequalities

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