Explore topic-wise InterviewSolutions in Current Affairs.

In an AP, if a= 15, d = -3 and $a_n$ = 0, then the value of n is

Two curves i.e.
a) $y=-x^2$
b) $y=x^2$
are depicted in the following graph, Identify the correct relation.

If the vertices of a triangle are A(k,2k), B(-2,6), C(3,1) and its area is 5 sq.units, then the values of k are

For the pair of linear equations $a_{1}x$ + $b_{1}y$ + $c_1=0$ and $a_{2}x$ + $b_{2}y$ + $c_2=0$, the solution set are $x=\frac{(b_1{c}_2-b_2{c}_1)}{(a_1{b}_2-a_2{b}_1)}$ and $y=\frac{(c_1{a}_2-c_2{a}_1)}{(a_1{b}_2-a_2{b}_1)}$. They can also be written as:

Construct two similar triangles, taking the measurement of your choice. Compare the perimeters of these two triangles and write your conclusion.

Which of the following series forms an AP?

$\left(i\right)a–2d,a–d,a,a+d,a+2d$

$\left(ii\right)a,a+d,a+2d,a+3d,a+4d$

$\left(iii\right)a–3d,a–d,a+d,a+3d$

In a circle of radius 5 cm, AB and AC are the two chords such that AB = AC = 6 cm. Find the length of the chord BC

If $x=rsin\alpha cos\beta ,y=rsin\alpha sin\beta$ and $z=rcos\alpha$, then

Question 1(a)

Determine if the following are in proportion:

15, 45, 40, 120

The Yin-Yang symbol can be explained by the following dimensions. What would be the area covered by the Yin (black) region if the radius of the larger circle is, R = 8 cm?

A sphere of diameter 18 cm is dropped into a cylindrical vessel of diameter 36 cm partly filled with water. If the sphere is completely submerged, then the water level rises (in cm) by

The angles of elevation of the top of a rock from the top and foot of a 100 m high tower are respectively ${30}^{\circ }$ and ${45}^{\circ }$ . Find the height of the rock.

Verify, whether D is the mid point of
.

If one of the roots of the equation $a{x}^2+bx+c=0$ is reciprocal of the other, then choose the correct option.

What will be the cost for surfing a square water tank with sides 20 m surrounded by four semi-circular grassy plots, given that cost for surfing per m² is Rs.2.5?

Find the median of the following data.

20,43,38,29,33,45,20,34

If $7si{n}^2\theta +3co{s}^2\theta =4$, then $sec\theta +cosec\theta$ is equal to

A ray of light is incident at the glass–water interface at an angle $i$, it emerges finally parallel to the surface of water, then the value of ${\mu }_g$ would be

(a) Anup, Azhar and Anthony have 105 marbles altogether. Anup has 40 marbles if their shares are in A.P., find the number of marbles with the other two boys.

(b) The angles of a quadrilateral are in A.P. If the smalles angle is 15°, find the angles of the quadrilateral.

(c) Veershree climbed 23 steps of Golgumbaz in the first minute. After that she climbed two steps less than what she had climbed in the previous minute. If she reached the whispering gallery of Glogumbaz after 7 minutes. How many steps did she climp to reach the whispering gallery?

(d) Find the three numbers in A.P. whose sums and products are respectively.

(i) 6 and 6 (ii) 15 and 80 (iii) 15 and 105.

If two circles which pass through the points (0, a) and (0, -a) cut each other orthogonally and touch the straight line $y=mx+c$, then

If the diameter of a sphere is decreased by $25\%$, then its curved surface area decreases by:

A(2, 6), B(6, 6) and C(6, 3) are the coordinates of a triangle. D, E and F are the reflection points of A, B and C respectively about X = 0. G, H and K are the reflection points of D,E and F respectively about Y = 1. The value of (sum of the y - coordinates of H and K) - (sum of the x - coordinates of G and H) is

If $x=\sqrt{11}+\sqrt{20},y=\sqrt{15}+\sqrt{17}$ and $z=\sqrt{14}+\sqrt{18},$ then which of the following holds true?

Solve: $\frac{3}{x}-\frac{2}{y}=0$ and $\frac{2}{x}+\frac{5}{y}=19$

Hence, find 'a' if $y=ax+3$.

The mid-point of segment AB is the point P (0, 4). If the Coordinates of B are (-2, 3) then the coordinates of A are