EASY

Earn 100

Few ex-military officers and present military officers are invited to a stadium, for the National Seminar on Defence. In the stadium, the first row consists of chairs, numbered as 1, 2, 3… up to 100. However, few ex-military officers decide not to seat on the chairs that are multiple of any number greater than unity. Find out the total number of officers that could sit on the chairs.

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Important Questions on Algebraic Expression

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

Find the value/values of x for the given equation.

$2^{(2 x + 3)} - 17 = 9 (2^{x} - 2)$

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

Find the number of solutions of a pair of linear equation

4 x - 9 y + 13 = 0

and

2 x + 3 y - 13 = 0

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

Find the value of

x

after solving the following equation.

0.12 \times (5 x - 4) = 0.5 x + 0.8

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

A number exceeds its

\frac{1}{9}

64

. What is the number?

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

x

and

y

are positive integers and

\frac{3 x}{y} = 4,

then find the minimum value of

(3 x + 4 y)

HARD

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

3

chairs and

2

tables cost

R s . 700

and

5

chairs and

3

tables cost

R s . 1100

. What is the cost of

1

chair and

2

tables?

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

How many solutions will a pair of linear equations have, if the equations are

4 x + 5 y - 6 = 0

and

16 x + 20 y + 20 = 0

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

The point of the intersection of the graph of the equations

3 x - 5 y = 19

and

3 y - 7 x + 1 = 0

P (α, β)

. What is the value of

(3 α - β)

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

The cost price of

3

exam pads and

2

pencils is

₹ 96 . 4

exam pads and

3

pencils cost

₹ 134

. Find total cost (in

₹

) of an exam pad and that of a pencil.

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

A zoo has few number of penguins and polar bears. The total number of heads of both of them is

60

and total number of their feet is

160

. How many polar bears are there in the zoo.

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

4

5^{t h s}

of an estate is worth Rs. 16800, then the value of

3

7^{t h s}

of the estate is

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

A number of two digits is equal to '

k

' times to the sum of these digits. If the places of these digits are mutually exchanged. the newly formed number is equal to the sum of these digits multiplied by which one of the following options ?

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

x, y, z

are three integers such that

x + y = 8

y + z = 13

and

z + x = 17

, then the value of

\frac{x^{2}}{y z}

is:

HARD

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

The sum of the digits of a two-digit number is

10

. When the digits are reversed, the number decreases by

54

. Find the changed number:

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

The graph of the equation

5 x - 2 y + 1 = 0

and

4 y - 3 x + 5 = 0,

intersect at the point

P (α, β)

. What is the value of

(2 α - 3 β)

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

While tabulation of marks scored in an examination by the students of a class, by mistake the marks scored by one student got recorded as

93

in place of

63

, and thereby the average marks increased by

0.5

. What was the number of students in the class?

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

The graph of the equations

2 x + 3 y = 11

and

x - 2 y + 12 = 0

intersects at

P (x_{1}, y_{1})

and the graph of the equation

x - 2 y + 12 = 0

intersects the

x -

axis at

Q (x_{2}, y_{2})

. What is the value of

(x_{1} - x_{2} + y_{1} + y_{2})

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

The population of Patna city is $96000$ , the decreasing rate of population is $800$ per year. Population of Patliputra is $68000$ , the increasing rate of population is $1200$ per year. In how many years will the population of both places be equal?

MEDIUM

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

P and Q are two examination halls. If

10

examinees are sent from P into Q, the number of examinees becomes equal in both the halls. If

20

examinees are transferred from Q into P, the number of examinees becomes double in P in comparison with Q. What is the number of examinees in each P and Q separately ?

EASY

Quantitative Aptitude>Algebra>Algebraic Expression>Linear Equations

The sum of four consecutive even numbers is greater than sum of three consecutive odd numbers by

81

. If the sum of least odd and even number is

59

, then find the sum of the largest odd and even numbers.

Important Questions on Algebraic Expression

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