Explore topic-wise InterviewSolutions in Current Affairs.

If A = {prime numbers between 19 and 23}, then A is

ABCD is a cyclic quadrilateral whose side AB is a diameter of the circle through A, B, C and D. If $\angle ADC={130}^{\circ }$, find $\angle BAC$.

In a random survey 250 people participated. Out of 250 people who took part in the survey, 40 people have listened to Pink Floyd. 30 people have listened to metallica and 20 people have listened to John Denver. If 10 people have listened to all three then find the no. of people who have listened only Pink Floyd.

What is the probability of getting a sum of 7 on rolling a pair of dice?

From the options, choose the irrational numbers that lie between 10 & 12.

A, B, C and D are four points on a circle. AC and BD intersect at E such that angle BEC =140^o and angle ECD = 25^o, then angle BAC is

In the figure given below, the radius of the circle is 42 cm. The angle in the sector is ${60}^{\circ }$​. What is the area of the segment APB?

If x = 5 is solution of equation 2x - 3 = a, then value of a = ______.

If $(x^2+y^2+z^2)=(xy+yz+zx)$, $\text{what is the value of}{x}^3+y^3+z^3$?

The parallel sides of a trapezium are 25 cm and 11 cm. The perpendicular distance between the parallel sides is 13 cm. Find the area of the trapezium.

A circular plot has perimeter of 660 m. A plot in the shape of a square having its vertices on the circumference of the field is marked in the field. Calculate the area of the square field.

Find the sum , invested at 10% compounded yearly , on which the interest for 3 year exceeds the interest of the first year by 252 Rs.

For the given pair of linear equations,
$a_{1}x+b_{1}y+c_1=0$ and $a_{2}x+b_{2}y+c_2=0$.

The values of x and y are ( ___, ___ ).

The value of (10)${}^{2025}$ $÷$ (100)${}^{1050}$ is

Find the height of the right circular cylinder if its curved surface area is 176 cm² and radius of the base is 4 cm.

Two lines are parallel to each other, only when

The pair of equations $4x-3y+12=0$ and $2x+3y-15=0$ has

Use the following information to answer the next question.

What is the value of x in the given figure?

What is the correct diagram to construct a parallelogram (EFDC) with one of the angle equal to 'x' and whose area is equal to that of the given triangle (ABC).

In the given figure, AB || CD. Find the value of x, y and z.

In the given figure, AB = AC. Prove that :

(i) DP= DQ

(ii) AP = AQ

(iii) AD bisects angle A

The graph of y + 2 = 0 is a line

(a) making an intercept of - 2 on the x - axis

(b) making an intercept of - 2 on the y - axis

(c) parallel to the x - axis at a distance of 2 units below the x - axis

(d) parallel to the y - axis at a distance of 2 units to the left of y - axis

Factorise:
$2x^2+3x-90$

$\text{In the adjoining figure, X and Y are respectively two points on equal sides AB and AC of}\Delta ABC\text{such that AX = AY. Prove that CX = BY.}$

In the given figure, AOB is a diameter of a circle with centre O such that AB = 34 cm and CD is a chord of length 30 cm. Then, the distance of CD from AB is

(a) 8 cm

(b) 15 cm

(c) 18 cm

(d) 6 cm

Factorize $125x^3-27y^3-225x^{2}y+135x{y}^2$

Factorize $8a^3-b^3-4ax+2bx$

Three coins are tossed simultaneously 200 times with the following frequencies of different outcomes:

$\begin{array}{ccccc}\text{Outcome}& \text{3}heads& \text{2}heads& \text{1}head& Nohead\\ \text{Frequency}& 23& 72& 77& 28\end{array}$

Find the probability of getting at most two heads.

In a $\Delta ABC,D,E$ and F are respectively, the mid-points of BC, CA and AB. If the lengths of side AB, BC and CA are 7cm, 8cm and 9 cm, respectively, find the perimeter of $\Delta DEF$.

The factors of ($x^4-625)$ are

Largest angle of a triangle is three times as much as the smallest angle. If their difference is equal to the third angle, find the angles. [2 MARKS]

Which of these is a graphical representation of data?

The sides of a triangle are 11m,60m,61m. Find The altitude of smallest side.

Question 112

Fill in the blank to make the statement true.
The population of Pune was 2538473 in 2001. Rounded off to nearest thousands, the population was ..............

Factorise $2x^2+y^2+8z^2-2\sqrt{2}xy+4\sqrt{2}yz-8xz$

(256)${}^{0.16}$ x (256)${}^{0.09}$= ?

Sara got 98, 100, 65, 78, 98, 35, 100, 100, 45 and 50 on her 10 consequitive reading tests each worthing 100 marks. What is the mean of her test scores?

From figure, identify the incorrect statement, given that l||m and t is transversal.

The longest chord of the circle is the

The solution set of $2lo{g}_{2}lo{g}_{2}x+lo{g}_{1/2}lo{g}_2\left(2\sqrt{2x}\right)=1$ is

In triangle ABC, E and F are the mid points of the sides AC and AB respectively. The altitude AP to BC intersects EF at Q. Then

On a square handkerchief of side 50 cm, seven non-intersecting circles designs of each radius 7 cm are made. Find the area of the remaining portion of the handkerchief in $c{m}^2$.

What is the difference in perimeters of triangles ABC and ACD in the given figure ABCD? (Take $\sqrt{2}$ = 1.4 and $\sqrt{5}$ = 2.2)