Explore topic-wise InterviewSolutions in Current Affairs.

The area of shaded region in the given figure is $c{m}^2.$

If ${10}^x=64,$ find the value of ${10}^{(\frac{x}{2}+3)}$

$\text{In the given figure, AB = AC and OB =OC. Then,}\angle ABO:\angle ACO=?\left(a\right)1:1\left(b\right)2:1\left(c\right)1:2\left(d\right)\text{none of these}$

1500 families with 2 chidren were selected randomly and the following data were recorded :

\(\begin{array}{|c|c|c|c|}\hline

\text{Number of girls in a family} & 0 & 1 & 2\\\hline

\text{Number of families} & 211 & 814 & 475 \\\hline

\end{array}\)

If a family is chosen at reandam, copute4 the probability that it has :

(i) No girl (ii) I girl (iii) 2 girls (iv) at most one girl (v) more girls then boys [NCERT]

If $\sqrt{2^n}=1024,then{3}^{2(\frac{n}{4}-4)}$ =

If the bisectors of two adjacent angles A and B of a quadrilateral ABCD intersect at a point O such that $\angle C+\angle D=k\left(\angle AOB\right)$, then find the value of k.

Present age of a grandfather is 72 years, while his grandson's age is 12 years. Then the ratio of their age after 8 years would be

Two cubes, each of volume $512c{m}^3$ are joined end to end. Find the surface area of the resulting cuboid.

If $\frac{3^{5x}\times {81}^2\times 6561}{3^{2x}}=3^7,thenx=$

Question 104

Solve the following:

Denominator of a number is 4 less than its numerator. If 6 is added to the numerator, it becomes thrice the denominator. Find the fraction.

If two circles are equal, then their radii are ...............

A cylindrical tube 7 m long has inside diameter 12 cm and outside diameter 16 cm. The volume of the metal in the tube is

A gulab jamun contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm. [4 MARKS]

Sum of the angles of a quadrilateral is

How many natural numbers are present in the following series?

12, 34.66, 0, 900000

The value of (1-CosA)(1+CosA)$cose{c}^2$A is __

$sin{60}^{\circ }cos{45}^{\circ }tan{45}^{\circ }cot{60}^{\circ }sec{30}^{\circ }cosec{90}^{\circ }$

By which property are $\Delta QST$ and $\Delta QUT$ congruent to each other?

If $△ABC$ and $△PQR$ in the below figure are similar, find the missing length x and the measure of $\angle R$

The difference between the two angles of a triangle is ${30}^{\circ }$. If the third angle is ${40}^{\circ }$, find the remaining angles.

Find the square root of $\sqrt{24}$ using geometric method.

The inner diameter of a circular well is $3.5m.$ It is $10m$ deep. Find :

$\left(i\right)$ inner curved surface area.

$\left(ii\right)$ the cost of plastering this curved surface at the rate of $Rs.40$ per $m^2$.

An irrational number between $\sqrt{2}and\sqrt{3}$ is

(a)$(\sqrt{2}+\sqrt{3})$

(b)$\sqrt{2}\times \sqrt{3}$

(c)$5^{\frac{1}{4}}$

(d)$6^{\frac{1}{4}}$

The vertical angle of an isosceles triangle is ${100}^{\circ }.$ Find its base angles.

The cost of painting a conical tent of radius $3.5m$ and slant height $7m$ at a rate of $₹10/m^2$ is .

In $△ABC$,
$sin\left(\frac{A+B}{2}\right)=$

In a $△$ABC if 2$\angle$A = 3$\angle$B = 6$\angle$C, then $\angle$A, $\angle$B, $\angle$C are

$\text{In the given figure, BE and CF are two equal altitudes of}\Delta ABC.\text{Show that (i)}\Delta ABE\cong \Delta ACF,\left(ii\right)AB=AC.$

If 1176 = $2^a\times 3^b\times 7^c$, find a, b and c.

if abc=1, show that $\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}$=1

C is a point on the minor arc AB of the circle, with the centre O. Given $\angle$ ACB = $x^{\circ }$ and $\angle$ AOB = $y^{\circ }$ .Express y in terms of x. Calculate x, if ACBO is a parallelogarm.

Question 42

In the following question, fill in the blanks to make the statements true.

$Bymultiplying\left(10{)}^{5}by\right(10{)}^{-10},weget$ ___

Factorise:
$x^3+125$

Match the two columns;

$\begin{array}{cc}\text{Column-I}& \text{Column-II}\\ \text{(A) C is a point on the minor arc AB of the circle with centre O.}& {\text{(P) 60}}^{\circ }\\ \text{Given}\angle \text{ACB = x. Calculate}\angle \text{x if ACBO is a parallelogram.}& \\ \text{(B) Chord ED is parallel to the diameter AC of the circle.}& {\text{(q) 120}}^{\circ }\\ \text{Given}\angle {\text{CBE = 55}}^{\circ }\text{, calculate}\angle \text{DEC.}& \end{array}$

$\begin{array}{cc}\text{(C) In the given figure,O is the centre of the circle.}& {\text{(r) 35}}^{\circ }\\ \text{If}\angle {\text{ACB = 60}}^{\circ }\text{find}\angle \text{OAB.}& \end{array}$



$\begin{array}{cc}\text{(D) In the given figure, O is the centre of a circle.}& {\text{(s) 30}}^{\circ }\\ \angle \text{AOB = 400 and}\angle \text{BDC = 1000. Find}\angle \text{OBC}& .\end{array}$

Choose the Correct option;

Evaluate ${525}^2$- ${475}^2$.

Choose the correct option which represents the following statement as an expression.

One-fifth of a number p, is subtracted from 9.

A chord 24cm long is drawn in a circle of radius 13cm. Find its distance from the centre.

True or false. Give reasons.

Every rational number is an integer.

If $a,b,c$ are three consecutive integers, then $log(1+ac)$ is ________ .

The base of a triangular field is three times its altitude. If the cost of sowing seeds in the field at 58/- per hectare is 783/-,find base and altitude.

Note the power is wrote down the variable or number

^{Question:- P​​​​​​​​​​​​1(x) = 3x}2 + 10x + 8 and,

P2(x) = X3 + X2 + 2x + t

Are 2 polynomials

When 1 of the factors of p1(x) divides p2(x) , 2 is the remainder obtained

That factor is also a factor of the polynomial p3(x) = (x+2)2 (this 2 is the oowrp I mean (x+2) raised to 2)

The and was given in the option but I didn't understand!!!!

Find the remainder x⁵¹ + 51 when divided by x + 1