Explore topic-wise InterviewSolutions in Current Affairs.

Find the two consecutive positive integers, such that their sum of whose squares is 365.

Express each of the following as a fraction in simplest form.

$\left(i\right)0.\overline{8}\left(ii\right)2.\overline{4}\left(iii\right)0.\overline{24}\left(iv\right)0.1\overline{2}\left(v\right)2.2\overline{4}\left(vi\right)0.\overline{365}$

The areas of two similar triangles are 49 $c{m}^2$ and 64 $c{m}^2$ respectively. The ratio of their corresponding sides is

Prove the identity
$\frac{secA-1}{secA+1}=\frac{1-cosA}{1+cosA}$ [3 MARKS]

Find the ratio of the volume of a cube to that of a sphere which will fit inside it.

From the top of a 21 m high building, the angle of elevation of the top of a cable tower is ${60}^{\circ }$ and the angle of depression of its foot is ${45}^{\circ }$. Determine the height of the tower.

“She knocked on two hundred doors” indicates that Jyoti

Through any given set of four distinct non-collinear points P, Q, R, S it is possible to draw at most ___circle(s).

In which of the following pairs is the first person sitting to the immediate right of the second person?

A bag has 8 orange balls, 4 green balls and 5 blue balls. Find the probability that the ball chosen is

(i) either an orange or green ball

(ii) Neither orange or green ball

(iii) Orange or green or blue

A rational number between $\sqrt{2}$ and $\sqrt{3}$ is:

A toy is in the shape of a hemisphere of same base radius. If the volume of the toy is $231c{m}^2$ and it's diameter is $7cm$. find the height of the toy.

Show that sin ${105}^{\circ }$ + cos${105}^{\circ }$ = $\frac{1}{\sqrt{2}}$

Matrix $A=\left[\begin{array}{cccc}2& 0& 1& 1\\ 0& -1& -2& 3\\ 0& 0& 1& 4\\ 0& 0& 0& 2\end{array}\right]$ is a ___ matrix

Two boats approached a lighthouse in the midsea from opposite directions the angle of elevation of the top of the lighthouse are 30 and 45 degree respectively if the distance between two boats is 100m find the highest of the lighthouse

Question 13

$(-10)\times (-5)+(-7)$ is equal to

(a) -57
(b) 57
(c) -43
(d) 43

The side AB square ABCD is parallel to the x-axis. Find the slopes of all its sides.

Also, find :

(i) the slope of the diagonal AC,

(ii) the slope of the diagonal BD.

Write the general form of a quadratic polynomial

Evaluate :

$si{n}^2{34}^{\circ }+si{n}^2{56}^{\circ }+2tan{18}^{\circ }tan{72}^{\circ }-co{t}^{2}30\circ$

What is "potential difference"?

The cost of painting the inner curved surface area of a cylindrical container of depth 20 m is Rs. 8800. If the Painter charges Rs. 40 per metre square to paint the cylindrical container, find the inner curved surface area of the vessel(in $m^2$) ___

Jash sold a certain number of shares of Rs 20 paying 8% dividend at Rs 18 and invested the proceeds in Rs 10 shares, paying 12% dividend at 50% premium. If the change in his annual income is Rs 120, find the number of shares sold by him.

Solve for $x:4x^2-4ax+\left(a^2{b}^2\right)=0$
OR
Solve for x : $3x^2-2\sqrt{6x}+2=0$

Given a line segment AB joining the points A (–4, 6) & B (8, –3). Find

Comment on the nature of the roots of the equation 7x – 3x² – 2 = 0.

A chord of length 16 cm has end points A and B as shown. The radius of the circle is 10 cm. Tangents are drawn at A and B which meet at C. Using Pythagoras theorem, write equations for triangle APC and triangle AOC and solve for x.

The marks awarded for an assignment set for a class of 20 students were as follows:
6 7 5 7 7 8 7 6 9 7 4 10 6 8 8 9 5 6 4 8

The frequency table for this data is:

In $\Delta$ ABC, $\frac{AD}{DB}=\frac{AE}{EC}$ and $\angle$ ADE $=\angle$ ACB. Then $\Delta$ ABC is ___ triangle.

If TP and TQ are the two tangents to a circle with center O such that ∠POQ = 115^o, then ∠PTQ is equal to

Basic of circumference and area explain

The number of orders received by food delivery app for 7 consecutive days is as follows.

16, 20, 40, 50, 30, 60, 40, 80.

Find the standard deviation about the mean.

Sides of two similar triangles are in the ratio of $4:9$. Areas of these triangles are in the ratio___.

The selling price of an article is ₹ 9720 inclusive of sales tax. If the rate of sales tax is 8% , find the amount of sales tax

The sum of first 6 terms of an AP is 42. The ratio of its 10th term to its 30th term is 1:3 . Calculate the first and the thirteenth term of the AP.

If the mean of the following data is 20 then the value of p is ___

$$\begin{array}{cccccc}{x}_i& \text{10}& \text{p}& \text{18}& \text{21}& \text{25}\\ f_i& \text{10}& \text{15}& \text{7}& \text{9}& \text{9}\end{array}$$

Answer the following :

a) Make two equations where the solution is 6.

b) Make two equations where the solution is -8. [3 MARKS]

A shopkeeper buys an article for ₹400 and marks it for sale at a price that it may give him 80% profit on his cost. He however gives 15 % discount on the marked price to his customers.

Find

The marked price of an article

The discount in rupees to the customer

The actual profit made by the shopkeeper

1. 12

If one of the zeros of the cubic polynomial $a{x}^3+b{x}^2+cx+d$ is 0 then the product of the other two zeros is

(a) $\frac{-c}{a}$ (b) $\frac{c}{a}$ (c) 0 (d) $\frac{-b}{a}$

The distance of P(3, 4) from the x-axis is

(a) 3 units (b) 4 units (c) 5 units (d) 1 unit

In a hospital used water is collected in a cylindrical tank of diameter 2 m and height 5 m. After recycling, this water is used to irrigate a park of hospital whose length is 25 m and breadth is 20 m. If tank is filled completely then what will be the height of standing water used for irrigating the park?