Explore topic-wise InterviewSolutions in Current Affairs.

If A = {5, 6, 7, 8} and B = {7, 8, 9, 11}, then A ∪ B = _____.

P is a point on the bisector of an angle $\angle ABC.$ If the line through P parallel to AB meets BC at Q, prove that triangle BPQ is isosceles.

1. 12

In ΔABC , if angleA - angleB=42 and angleB - angleC = 21 , then angleB = ?

1. 64

If $cosec(A+B)=\frac{2}{\sqrt{3}}$, $sec(A-B)=\frac{2}{\sqrt{3}}$, $0^{\circ }<A+B\le {90}^{\circ }$, find A and B.

Statement 1: Sum of the interior angles of a quadrilateral is ${360}^{\circ }$

Statement 2: A diagonal divides the quadrilateral into two triangles. The sum of angles of a triangle is ${180}^{\circ }$.

Factors of $x^4+x^2+1$ are

For the given sets with $U=\{1,2,3,4,5,6,7,8,9\},$ choose the correct pair of the set with it's complement.

A soft drink is available in two packs − (i) a tin can with a rectangular base of length 5 cm and width 4 cm, having a height of 15 cm and (ii) a plastic cylinder with circular base of diameter 7 cm and height 10 cm. Which container has greater capacity and by how much?

Give one example each of a binomial of degree 35, and of a monomial of degree 100.

If $x+\frac{1}{x}=3,$ then find the value of $x^2+\frac{1}{x^2}$.

Draw a square whose sides are represented by x=4, x = -4, y = 4 and y = -4.

$Constructa\Delta ABCinwhichAB=5cm,\angle A={30}^{\circ }andAC-BC=2.5cm\text{Justify your constructions.}$

Which of these points lie on the line $7x+8y=61$?

Find the measure of x, if ZY || WX in the following figure.

The cross section of a canal is trapezium in shape. If the canal 18m wide at the top 12m wide at the bottom and the area of the cross section is 135m^{2 , find its depth}

$0.\overline{001}$ when expressed in the form $\frac{p}{q}$ (p,q are integers, $q\ne 0$ ), is

Simplify the following expressions :

(i) $(4+\sqrt{7})(3+\sqrt{2})$

(ii) $(3+\sqrt{3})(5-\sqrt{2})$

(iii) $(\sqrt{5}-2)(\sqrt{3}-\sqrt{5})$

1. 36

$\frac{(0.5{)}^4-(0.4{)}^4}{(0.5{)}^2+(0.4{)}^2}=$

Read the bar graph given in the figure and answer the following questions:
(i)What information is given by the bar graph?
(ii)In which years the areas under the sugarcane crop were the maximum and the minimum?
(iii) State whether true or false:
The area under the sugarcane crop in the year 1982-83 is three times that of the year 1950-51.

See the double bar graph and answer the question that follows.

How many girls participated in crafts?

$In\Delta ABC,if\angle B={76}^{\circ }and\angle C={48}^{\circ },find\angle A.$

Given: RS and PT are altitudes of $\Delta PQR$
Then

Question 92

Perimeter of a triangle is found by using the formula p = a + b + c, where a, b and c are the sides of the triangle. Write the rule that is expressed by this formula in words.

In the given figure, AB = AD = DC = PB

and $\angle DBC=x^{\circ }.$

Determine, in terms of x :

(i) $\angle ABD$, (ii) $\angle APB$.

Hence or otherwise, prove that AP is parallel to DB.

Parallelogram PQRS and Rectangle PQAB have same base PQ, and the length and breadth of the rectangle are 5cm and 3cm respectively. Find the area of a parallelogram PQRS.

A boy standing on a horizontal plane finds a bird flying at a distance of 100 m from him at an elevation of ${30}^{\circ }$. A girl standing on the roof of a 20m high building, finds the angle of elevation of the same bird to be ${45}^{\circ }$. The boy and the girl are on the opposite sides of the bird. Find the distance of the bird from the girl. [Given $\sqrt{2}=1.41$] [4 MARKS]

1. 90

A linear polynomial will have how many zeroes.