Explore topic-wise InterviewSolutions in Current Affairs.

From the following cash transactions relating to Royal Club, Green Park, prepare Income and Expenditure account for the year ended 31st March, 2014 and a Balance Sheet as at that date :

$\begin{array}{cccc}\text{Receipts}& \text{Rs}& \text{Payments}& \text{Rs}\\ \text{Cash in hand on 1st April, 2013}& 4,900& \text{Salaries}& 20,100\\ \text{Subscriptions (including Rs 800}& & \text{Travelling Expenses}& 8,600\\ \text{for the year ending 31-3-2015)}& 52,100& \text{Printing}\&\text{Stationery}& 1,720\\ \text{Donations}& 6,000& \text{Rent}& 16,600\\ \text{Proceeds from charity show}& 16,200& \text{Repairs}& 450\\ \text{Sale of Furniture}& & \text{Building purchased}& 30,000\\ \text{(Book value Rs 4,000)}& 1,600& \text{Government Bonds}& 5,000\\ \text{Life membership fees}& 9,000& \text{Balance c/d on 31-3-2014}& 32,130\\ \text{Interest on Investments}& & & \\ \text{(Cost of Investments Rs 40,000)}& 4,800& & \\ \text{Sale of old car}& 20,000& & \\ & \underset{–}{\overline{1,14,600}}& & \underset{–}{\overline{1,14,600}}\end{array}$

On 1-4-2013, the club owned land and building valued at Rs 40,000 and furniture valued at Rs 10,500. There were 150 life members on that date, each of whom had paid subscription of Rs 100. the book value of car was Rs 25,000.

Subscriptions due on 31st March, 2013 and on 31st March 2014 were Rs 3,400 and Rs 2,000 respectively, Similarly, interest on Investments due at the beginning of the year was Rs 800 and at the end of the year was Rs 1,000.

If $\int \frac{dx}{4-3{\cos }^{2}x+5{\sin }^{2}x}=Af\left(3\tan x\right)+C,$ for a combination of function $f$ and a fixed constant $A.$ Then which of the following is/are true

(where $C$ is integration constant)

Let $f\left(x\right)=\{\begin{array}{cc}-2\sin x,& x\le -m\\ A\sin x+B,& -m<x<m\\ \cos x,& x\ge m\end{array}$ be a continuous function, where $m$ is the principal solution of the equation ${\sin }^{3}x+\sin x\cos x+{\cos }^{3}x=1$. If $m>0$, then

Let in a $△ABC,$ $x,y,z$ are the lengths of perpendicular drawn from the vertices of the triangle to the opposite sides $a,b,c$ and $\cot A+\cot B+\cot C=k(\frac{1}{x^2}+\frac{1}{y^2}+\frac{1}{z^2}),$ then the value of $k$ is

(where $R,r,S,\Delta$ are circumradius,inradius,semiperimeter and area of triangle respectively.)

Find the equation of the parabola that satisfies the given conditons:
Focus
Vertex (0,0) passing trhough (5,2) and symmetric with respect to y - axis.

Find the 20^th
and n^thterms of the G.P.

If the number of positive integral solutions of x_1 +x_2+x_3=n be denoted by P_n then
$\left|\begin{array}{ccc}{P}_n& P_{n+1}& P_{n+2}\\ P_{n+1}& P_{n+2}& P_{n+3}\\ P_{n+2}& P_{n+3}& P_{n+4}\end{array}\right|=$

If the middle term in the expansion of ${(\frac{x}{2}+2)}^8$is $1120$; then $x\in R$ is equal to

If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is :

Prove
that:

What is the solution to the system x + y = 5 and 3x - y = 3?

The number of integers λ for which the equation x³ - 3x + λ = 0 has integer roots is

Conditions so that equation $(a_1{x}^2+b_{1}x+c_1)(a_2{x}^2+b_{2}x+c_2)=0,(a_1{a}_2>0)$ have fours real roots if

$\left(i\right)c_1{c}_2>0$ $\left(ii\right)a_1{c}_1<0$ $\left(iii\right)a_2{c}_2<0$

1. 1.2735

If the lengths of the intercepts on the $x,y,z$ axes made by the plane $5x+2y+z-13=0$ respectively are $a,b,c.$ Then which of the following statement(s) is/are correct?

The shaded region in the figure is the solution set of the inequations

A and B are events such that $P\left(A\right)=0.3,P(A\cup B)=0.8$. If A and B are independent then P(B)=

The value of

$\left|\begin{array}{ccc}\sin \alpha & \cos \alpha & \sin (\alpha +\delta )\\ \sin \beta & \cos \beta & \sin (\beta +\delta )\\ \sin \gamma & \cos \gamma & \sin (\gamma +\delta )\end{array}\right|$ is

If $(5,12)$ and $(24,7)$ are the foci of a conic passing through the origin, then the eccentricity of conic can be:

Let the complex numbers z₁,z₂ and z₃ be the vertices of an equilateral triangle. Let z₀ be the circumcentre of the triangle, then $z_1^2+z_2^2+z_3^2$=

If the expression $\frac{1-i\sin \alpha }{1+2i\sin \alpha }$ is purely real, then which of following option(s) is/are correct?

If $A$ is the area(in $\text{sq.units}$) of triangle whose vertices are $(1,2,0),(0,2,-3)$ and $(2,-1,4).$ Then the correct option among the following is

If tangent at $P$ and at vertex of the parabola $y^2=4ax$ meets at $Q$, then the value of $\angle SQP$, where $S$ is the focus, is

If sin $\alpha$, sin $\beta$ and cosαare in GP, then roots of the equation $x^2$ + 2xcot$\beta$+1 = 0 are always

If the sum of squares of the intercept on the axes cut off by the tangent on the curve $x^{\frac{1}{3}}+y^{\frac{1}{3}}=a^{\frac{1}{3}},a>0$ at $(\frac{a}{8},\frac{a}{8})$ is $2,$ then value of $a$ is