Explore topic-wise InterviewSolutions in Current Affairs.

If in an equilateral triangle $△ABC,AD$ is perpendicular to $BC,$ then $A{D}^2=$

Express 0.8 + 0. 777… + 0.4343… in the form of p/q where p and q are integers and
q ≠ 0.

Statement-1: The coordinate of a point on the x-axis is of the form (x,0) and that of the point on the y-axis is (y,0).
Statement-2: The point of intersection of the axes is called the origin.
Which of the following is true?

what is the defination of sets?

Without actual division, find the remainder when 8x squared - 2x - 15 is divided by 2x + 3

1-2a-2b - 3(a+b)^ 2 factorize

The Average number of goals scored by Manchester City football club is 2 per match.
If the Full League has 38 matches, calculate the number of goals scored by ManC exactly in the middle of the league.

Which of the following graph shows the equation y - x = 4?

A closed wooden box of dimensions 15 cm × 20.5 cm × 9.5 cm is to be made. The area of the sheet required for making the box is

The difference between simple and compound interest compounded annually on a certain sum of money for 2 years at 4% per annum is ₹1. The value of principal amount is _____.

If $x=\left(7-4\sqrt{3}\right)$, then the value of $\left(x+\frac{1}{x}\right)$is :

If $1-\tan \theta =a$, what is the value of $se{c}^2\theta -2\tan \theta$ ?

How much did C get in PI?

A fraction becomes $\frac{4}{5}$ if one is added to both numerator and denominator. If, however, 5 is subtracted from numerator and denominator, the resultant fraction becomes $\frac{1}{2}$. Find the fraction.

If (x+2) is a factor of p(x)=ax³+bx²+x-6 and p(x) when divided by(x-2) leaves remainder 4, prove that a=0 n b=2.

Log2√3^1728=x

Where 2√3 is base and 1728 is a number and x is exponent then find the value of x

Incenter is the point of intersection of ___ of a triangle.

A round ballon of radius r subtends an $\alpha$ at the eye of the observer while the an elevation of its centre $\beta$. The height of centre of the balloon is

Question 2
Write whether the following statements are true or false. Justify your answer.

Find value of x and y in the given pair of equation, where $x\ne 0\&y\ne 0$.
$\frac{2}{x}+\frac{3}{y}=13$
$\frac{5}{x}-\frac{4}{y}=-2$

Find the area of the shaded region in Fig, if ABCD is a square of side 14 cm and APD and BPC are semicircles.

If $x^g$+$\frac{1}{x^a}$ is a polynomial in one variable and if it is given that $g=a$,
for what value of ${}^{\prime }{a}^{\prime }$ is this a polynomial?

Question :

One of the factors of x⁵+x+1 is

(1) 2x² - x - 1

(2) x³ - x² + 1

(3) x² - 2x² + 1

(4) x³ + x² + 1

A rectangular plot $30m$ long and $18m$ wide is to be covered with grass leaving $2.5m$ all around it. Find the area to be laid with grass.

rational number is in the form of p/q and is it always true that p and q are co primes. Explain with eg

In the given figure, the angle subtended by the major arc is

4x + 3 < 5x +7

In the given figure, AB || CD. Prove that $\angle BAE-\angle ECD=\angle AEC$.

Rs. 25,000 becomes Rs. 33,275 in 3 years at a certain rate of compound interest per annum. Find the rate.

By actual division, find the quotient and the remainder when $(x^4+1)$ is divided by (x - 1).
Verify that remainder = f(1).

The base BC of $△ABC$ is divided at D such that BD=$\frac{1}{2}DC.$.Prove that $ar\left(△ABD\right)=\frac{1}{3}ar\left(△ABC\right)$.

In the given figure, if $\angle$ACB = ${30}^{\circ }$, then the value of $\angle$ACD is ___${}^{\circ }$.

Factorise: x²- 81

The number of interwoven isosceles triangles in Sriyantra is

(a) five

(b) seven

(c) nine

(d) eleven

Write the number of decimal places in 0.4892

Find $x$, if:

(i) $4^{2x}=\frac{1}{32}$

(ii) $\sqrt{2^{x+3}}=16$

(iii) ${\left(\sqrt{\frac{3}{5}}\right)}^{x+1}=\frac{125}{27}$

(iv) ${\left(\sqrt[3]{3\frac{2}{3}}\right)}^{x-1}=\frac{27}{8}$

How many dimensions does a point have

(a) 0

(b) 1

(c) 2

(d) 3

Determine whether the following is a statistical question for data pertaining to internet searches.

How many internet searches do the residents at Jacque’s retirement home perform each day? (Yes/No)

__

Match the two points to the distance between them.

How many lines passing through origin are possible?

The length of each side of a rhombus is 10 cm and one of its diagonals is of length 16 cm. The length of the other diagonal is

(a) 13 cm

(b) 12 cm

(c) $2\sqrt{39}cm$

(d) 6 cm

The length of the complete circle is called the __ of the circle.

Choose the correct statements.

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. The length of each side of the rhombus is

(a) 10 cm

(b) 12 cm

(c) 9 cm

(d) 8 cm

${105}^2$ is equivalent to ___