Explore topic-wise InterviewSolutions in Current Affairs.

The cost of painting a room with height and length equal to 3 m and 6 m respectively is Rs. 600. If the cost is Rs. 10 per square meter, then find the length of room's breadth.

A company with 15000 shares of Rs 100 each declares an annual dividend of $5\%$. What is the total dividend paid by the company?

If 1+ sin² A = 3sinAcosA , then prove that tanA=1 or 1/2

The cost of a headphone at a shop was Rs.1500. The sales tax charged was 7%. Find the bill amount.

Question 4 (xi)
Which of the following are APs? If they form an A.P. find the common difference d and write three more terms.
(xi) $a,a^2,a^3,a^4,\dots$

Solve the quadratic equation $x^2-3(x+3)=0$; Give your answer correct to two significant figures.

$\frac{secA-1}{secA+1}=\frac{1-cosA}{1+cosA}$

A metalic block of density $5\frac{gm}{c{m}^3}$ and having dimensions 5cm $\times$ 5cm $\times$ 5 cm is weighed in water. Its apparent weight will be

Question 8
A street light bulb is fixed on a pole 6 m above the level of the street. If a woman of height 1.5 m casts a shadow of 3m, then find how far she is away from the base of the pole.

The points (-2, 3), (6, 7) and (4, 1) are the vertices of triangle ABC. If P is the mid-point of AB and Q is the mid-point of AC, then, PQ = ?

The decimal expansion of the rational number $\frac{37}{2^2\times 5}$ will terminate after

(a) one decimal place (b) two decimal places

(c) three decimal places (c) four decimal places

Find all possible values of y for which the distance between the points

A (2, -3) and B (10, y) is 10 units.

Select the true statements among the following statements:

If A = $\left[\begin{array}{cc}0& 2\\ 3& 5\end{array}\right]$, B = $\left[\begin{array}{ccc}3& 4& 5\\ 2& 3& 1\\ 1& 3& 7\end{array}\right]$, then A + B =

Find the Surface Area of : [2 MARKS]

Question 180(vi)

Simplify :
$\frac{(3^{-2}{)}^2\times (5^2{)}^{-3}\times (t^{-3}{)}^2}{(3^{-2}{)}^5\times (5^3{)}^{(-2)}\times (t^{-4}{)}^3}$

Solve for x and y:

$\frac{x}{2}-\frac{y}{9}=6,\frac{x}{7}+\frac{y}{3}=5.$

If the pair of linear equations x – y = 1, x + ky = 5 has a unique solution x = 2, y = 1, then value of k is

The sum of first n terms of an A.P. is $3n^2$+4n. Find the 25th term of this A.P.

Find the nonzero value of k for which the roots of the quadratic equation $9x^2-3kx+k=0$ are real and equal.

4 [1 – $si{n}^2\theta$] [1 + $ta{n}^2\theta$] = ___.

If the distance between points (p, –5) and (2, 7) is 13 units, then p is _____________

The probability that a number selected at random from the numbers 1, 2, 3,..., 15 is a multiple of 4, is
(a) $\frac{4}{15}$ (b) $\frac{2}{15}$ (c) $\frac{1}{5}$ (d) $\frac{1}{3}$

The sum of first n terms of an A.P. is $5n^2$+3n. If its mth term is 168, find the value of m. Also, find the 20th terms of this A.P.

$\Delta ABC\sim \Delta DEF$, with AB = 5 cm and DE = 8 cm.
If the area of $\Delta ABC$ is $50c{m}^2$, what will be the area of $\Delta DEF$ ?

If sides of a rectangle with given perimeter $p$ are $x$ & $y$, then find the relation between $x$ & $y$ for which area of the given rectangle is maximum.

Which of the following is a surd?

A river 1.5 m deep and 36 m wide is flowing at the rate of 3.5 km/hr. Find the amount of water (in cubic metres) that runs into the sea per minute.

In the given figure if AB || EF, $\angle ABC={70}^{\circ }$ and $\angle EFD={40}^{\circ }$, then find x.

Match the following
$\begin{array}{cc}\text{(i) Mean}& \text{A. Typical value}\\ \text{(ii) Median}& \text{B. Most popular value}\\ \text{(iii) Mode}& \text{C. Gets highly affected by extreme values}\end{array}$

The number of solid spheres, each of diameter 6 cm, that can be made by melting a solid metal cylinder of height 45 cm and diameter 4 cm, is

(a) 2 (b) 4 (c) 5 (d) 6

Find the missing frequencies and the median for the following distribution if the mean is 1.46.
No. of accidents: 0 1 2 3 4 5 Total
Total Frequency (No. of days): 46 ? ? 25 10 5 200

Find all possible values of x for which the distance between the points

A (x, -1) and B (5, 3) is 5 units.

Two tangent segments PA and PB are drawn to a circle with centre O such that $\angle APB={120}^{\circ }$. Prove that OP = 2AP.

Given below is the number of units of electricity consumed in a week in a certain locality:
$\begin{array}{cccccccc}\text{Consumption}& 65-85& 85-105& 105-125& 125-145& 145-165& 165-185& 185-205\\ \text{(in units)}& & & & & & & \\ \text{Number of}& 4& 5& 13& 20& 14& 7& 4\\ \text{consumers}& & & & & & & \end{array}$
Calculate the median.

The angle of elevation of the top of a tower ​is 60${}^{\circ }$. If the height of the tower is 60m then find the distance between the person and tower.

Describe:

(i) The locus of points at distances less than 3 cm from a given point.

(ii) The locus of points at distances greater than 4 cm from a given point.

(iii) The locus of points at distances less than 2.5 cm from a given point.

(iv) The locus of points at distances greater than or equal to 35 mm cm from a given point.

(v) The locus of the centre of a given circle which rolls around the outside of a second circle and is always touching it.

(vi) The locus of the centres of all circles that are tangent to both the arms of a given angle.

(vii) The locus of the mid-points of all chords parallel to a given chord of a circle.

(viii) The locus of points within a circle that are equidistant from the end points of a given chord.

Find the equation for the ellipse that satisfies the given conditions,
Length of major axis 26, foci $(\pm 5,0)$

check whether 307 is a term of an ap 4,7,10....

Rohan is 3 years older than his sister Ruhi. If the product of their age is 40, then Ruhi's age is ___