Explore topic-wise InterviewSolutions in Current Affairs.

Form a quadratic equation for the given situation:
Vijay inherited huge wealth from his father and by establishing a soft drinks company, he squared his wealth. He started a company which manufactures aeroplane toys and incurred huge losses amounting to $k$ (>0) times the wealth he inherited initially. His total assets now stand at a debt of 4 crores.

A letter is drawn from the word TRIANGLE. The probability that it is a vowel is

The value of m, if the points A(5,1), B(-2,-3), and C(8,2m) are collinear is:

In a triangle ABC, AB =20 cm, $\angle A={30}^{\circ }$, AC = 18 cm The area of the triangle is equal to _______.

If the sum of n terms of an A.P. is $(pn+q{n}^2)$ , where p and q are constant, then common difference is

In Fig 7.59, check whether AD is the bisector of $\angle A$ of $\Delta ABC$ in each of the following:
(i) AB =5 cm,AC= 10cm, BD= 1.5 cm and CD=3.5ccm
(ii) AB = 4 cm. AC = 6 cm, BD =1.6cm and CD = 2.4 cm
(iii) AB =8 cm, AC=24 cm, BD=6cm and BC = 24cm
(iv) AB=6cm,AC=8 cm, BD=1.5 cm and CD = 2cm
(v) AB= 5 cm, AC= 12cm, BD = 2.5cm and BC = 9 cm

Prove that $\frac{1}{\sqrt{3}}$ is irrational.

Solve each of the following systems of equations by the method of cross-multiplication:

$(a+2b)x+(2a-b)y=2$

$(a-2b)x+(2a+b)y=3$

Draw the graphs of the following equations:

2x - 3y + 6 = 0

2x + 3y - 18 = 0

y - 2 = 0

Find the vertices of the triangle so obtained. Also find the area of the triangle.

A cone is cut by a plane parallel to its base and the upper part is removed.The part that is left over is called

(a) a cone (b) a sphere

(c) a cylinder (d) frustum of a cone

There is a square park in the society. ₹ ______ is the cost of laying grass in the field at ₹ 10 per $m^2$, if the length of each side is 7 m.

A metallic solid right circular cone is of height 84 cm and the radius of its base is 21 cm. It is melted and recast into a solid sphere. Find the diameter of the sphere.

p = $2^2$.$3^2$.$q^2$ (where q is a prime $<$ 7) is the prime factorisation representation of ‘p’. What is the value of p?

For solving each pair of equations, use the method of eliminations by equating coefficients:

$\frac{x-y}{6}=2(4-x)$

$2x+y=3(x-4)$

Write down the decimal expansions of : $\frac{6}{15}$

In the given figure, the length of side AB is :

If the replacement set is the set of whole numbers, solve:$7-3x\ge \frac{-1}{2}$

Find the value of A so that the point (3,A) lies on the line represented by 2x-3y+5=0 .

3tanA + cotA=5cosecA, find A if 0<=A<=90

tan38° – cot22° = ?

(A)1/2 cosec38°sec22°

(B) 2sin22°cos38°

(C) –1/2 cosec22°sec38°

(D) none of these

The difference between squares of two numbers is 45, the square of smaller number is 4 times the larger number. Find the numbers

Pet Supplies makes a profit of Rs. 5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than Rs. 5225, how many bags of dog food does it need to sell?

A capsule of medicine is in the shape of a sphere of diameter 3.5 mm.
How much medicine $inm{m}^3$ is needed to fill this capsule?
$[Assume\pi =\frac{22}{7}]$

Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are ${30}^{\circ }$ and ${45}^{\circ }$ respectively. If the lighthouse is $100m$ high, the distance between the two ships is:

Take $\sqrt{3}=1.73$

Find the roots of the following quadratic equations by the factorisation method.
$2x^2+\frac{5}{3}x-2=0$

Hcf of smallest prime and composite number

Determine the equation of a line with y intercept of 12 & sin Ɵ = ³/₅; where Ɵ is the inclination of the line.

Draw the graph for the data given below.

$\begin{array}{ccccccc}No.ofworkers\left(xaxis\right)& 3& 4& 6& 8& 9& 16\\ No.ofdays\left(yaxis\right)& 96& 72& 48& 36& 32& 18\end{array}$

The multiplication of two irrational numbers may result in a/an

Complete the following sentence : "Mode is the _________"

The difference between the sum of first 100 natural numbers and the sum of even numbers from 1 to 100.

In the given figure, ABC & CEF are 2 ∆’s, BA || CE & AF: AC = 5: 8.

Question 66

State whether the statement is True or False.

In the given figure, ratio of the area of $\Delta ABC$ to the area of $\Delta ACD$ is same as the ratio of base BC of $\Delta ABC$ to the base CD of $\Delta ACD$.

In a family of 3 children, find the probability of having at least one boy.

Verify division algorithm for the polynomials $f\left(x\right)=8+20x+x^2-6x^3$ and $g\left(x\right)=2+5x-3x^2.$

If 2 is a root of the quadratic equation $3x^2+px-8=0$ and the quadratic eqation $4x^2-2px+k=0$ has equal roots, find the value of k.

Find the area of a circle whose circumference is 44 cm.

The sum of a two digit number and the number obtained by interchanging the digits of the number is 121. If the digits of the number differ by 3, find the number.

Question 47
The angles P, Q, R and S of a quadrilateral are in the ratio 1 : 3 : 7 : 9. Then, PQRS is a
a) Parallelogram
b) Trapezium with $PQ\parallel RS$
c) Trapezium with $QR\parallel PS$
d) Kite

If (1,3k) lies on kx + 4y = 26, the value of k is ___.

An employer finds that if he increases the weekly wages of each worker by Rs. 5 and employs five workers less, he increases his weekly wage will from Rs. 3,150 to Rs. 3,250. Taking the original weekly wage of each worker at Rs x ; obtain an equation in x and then solve it to find the weekly wages of each worker.