Explore topic-wise InterviewSolutions in Current Affairs.

In the adjoining figure, AB || CD || EF, the value of x is:

Use the following information to answer the next question.

In the given figure, QA and RB are the altitudes of sides PR and PQ (respectively) of ΔPQR such that RB = QA.

If BQ = 3 cm, AP = 3 cm, and AQ = 4 cm, then what is the perimeter of ΔPQR?

Find the area of the trapezium shown below:

The value of sec $\theta$ in the given triangle is,

In right-angled traingle ABC, ∠B=90∘. Then the magnitude of angle A, if AB is √3 times of BC is

Question 96

A volleyball court is in a rectangular shape and its dimensions are directly proportional to the dimensions of the swimming pool given below. Find the width of the pool.

In the given figure; ABC, AEQ and CEP are straight lines. Show that $\angle APEand\angle CQE$ are supplementary.

Find the area of an isosceles traingle having the base x cm and one side y cm.

The complement of an acute angles is ___.

If the inclination of a line is 45 degrees, then find the slope of the line.

A store room in the form of a cuboid has measures $42m\times 35m\times 21m$. How many cuboidal boxes can be stored in it if the volume of one box is $0.7m^3$?

Find the difference between the simple interest and compound interest on rupees 2500 for 2 years at 4% per annum compound interest being reckoned semiannually

Question 3(c)

Insert commas suitably and write the names according to Indian System of Numeration:

99900046

A hollow sphere of internal and external radius 2 cm and 4 cm respectively is melted into a cone of base radius 4 cm. Find the height and slant height of the cone.

If ABCD is a prallelogram, then prove the $area\left(△ABD\right)=area\left(△BCD\right)=area\left(△ABC\right)=area\left(△ACD\right)=\frac{1}{2}area\left(|{|}^{gm}ABCD\right)$

In the figure, O is the centre of the circle. If $\angle CEA={30}^o$, find the values of x, y and z.

If the point (a,2) lies on the graph of the linear equation 2x - 3y + 8 = 0, find the value of a.

In the given quadrilateral ABCD, the line segments bisecting $\angle C$ and $\angle D$ meet at O. Then the correct statement is:

Question 47

​​​​​​​Sate weather the given statement is true or false.

Length of a side of an equilateral triangle and its perimeter vary inversely with each other.

The curved surface area of a right circular cone of base diameter 6 cm is 132 cm². Its slant height is

p³+ q³ = ?

$\text{A classroom is 10 m long, 6.4 m wide and 5 m high.If each student be given}1.6m^2\text{of the floor area,how many students can be accommodated in the room ? How many cubic metres of air would each student get?}$

What are the measures of central tendency?

If $A=\left[\begin{array}{cc}cos\alpha & sin\alpha \\ -sin\alpha & cos\alpha \end{array}\right]$, then $A^2=$

Two dice are rolled simultaneously. Find the probability of getting the total ( sum ) of the numbers as 13.

If dividend = $x^3+13x^2+32x+20$, divisor = $x^2+11x+10$ remainder = 0. Find the quotient q(x)

Question 7
If 2x + y = 23 and 4x – y = 19, then find the values of 5y – 2x and $\frac{y}{x}$- 2.

Verify x^3 × y^3 =(x+y)(x^2-xy + y^3)

The graph of 3x + 4y = 12 will pass through

Find the value of $cose{c}^2\theta -{\cot }^2\theta$.

2x³ +2y³ +2z³- 6xyz= (x+y+z) [(x-y)² +(y-z)² +(z-x)² ] hence evaluate 2(7)³ +(9)³ + 2(13)³ -6(7)(9)(13).

Select the correct algebraic identities.

If a=,2+, root3 then find the value of a-1/a

factorize 4(a+b)-6(a+b)^2

If $a=lo{g}_{10}2$ and $b=lo{g}_{10}3$, then $lo{g}_{10}\sqrt[5]{5108}$ can be written as .

Any point on the x-axis is of the form ___.

$\text{If}17cos\theta =15$,
$\text{then,}tan\theta +2sec\theta =$_____.

${}^8{C}_4=$ ________.

Which of the following are correct regarding the given figure?

In the given equilateral triangle ABC, find the value of sin ${30}^{\circ }$ and cos ${30}^{\circ }$, without using tables.

AD is the perpendicular bisector of BC.

A chord of a circle which is twice as long as radius is the __ of the circle.

Let $\overrightarrow{a}$ and $\overrightarrow{b}$ be two non-collinear unit vectors. If $\overrightarrow{u}=\overrightarrow{a}-(\overrightarrow{a}.\overrightarrow{b})\overrightarrow{b}$ and $\overrightarrow{v}=\overrightarrow{a}\times \overrightarrow{b},$ then $|\overrightarrow{v}|$ is

Solve the following systems of inequalities graphically:

$2x+y\ge 6,3x+4y\le 12$

Factorize: $x^2-3ax-88a^2$