Explore topic-wise InterviewSolutions in Current Affairs.

In the given figure, if AP = BP and DP = CP, then which of the following are true ?

Two parallelograms stand on equal bases and between the same parallels. The ratio of their areas is

(a) 1 : 2

(b) 2 : 1

(c) 1 : 3

(d) 1 : 1

Question 5
Explain why a rectangle is a convex quadrilateral.

Find the sum and product of the zeroes polynomial $6x^2-4-5x$ [2 MARKS]

. If the area of || gram is 120 sq.cm , what is the ar(△) which is between the same base and same parallels?

In the given figure ΔABC is an isosceles traingle with AB=AC and $\angle$ABC = ${50}^{\circ }$. Find $\angle$ BEC = \({x}^{0}\, find the value of x.

Points $P$ and $Q$ have been taken on opposite sides $AB$ and $CD$, respectively of a parallelogram $ABCD$ such that $AP=CQ$. Show that $AC$ and $PQ$ bisect each other.

The ratio of the sum and the product of the roots of $5x^2–14x+8=0$ is

A number ${}^{\prime }{x}^{\prime }$was found to be represented in the simplest $\frac{p}{q}$ form. The decimal expansion of this number was found to be 5.3333333333..... Find the value of p - q.

$x+1$ is a factor of the polynomial
$A.$ $x^3+x^2-x+1$
$B.$ $x^3+x^2+x+1$
$C.$ $x^4+x^3+x^2+1$
$D.$ ​​​​​​​ $x^4+3x^3+3x^2+x+1$​​​​​​​

The value of $(2y-x{)}^3$ is _________.

ABCD is a cyclic quadrilateral whose diagonals intersect at a point E. If $\angle DBC={80}^{\circ }$ and $\angle BAC={40}^{\circ },$ then find $\angle BCD$.

Factorise $a^3-27$.

If m = $\frac{1}{3-2\sqrt{2}}$ and $n=\frac{1}{3+2\sqrt{2}}$

then mn = _______.

The point (1,2) lies on the line _____.

Question 1 (f)
State whether true or false.

(f) All rhombuses are kites.

If $\overrightarrow{a},\overrightarrow{b}$ and $\overrightarrow{c}$ are three non-coplanar vectors, then $(\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c})\cdot \left[\right(\overrightarrow{a}+\overrightarrow{b})\times (\overrightarrow{a}+\overrightarrow{c}\left)\right]$ equals

Two chords intersect at a point within the circle and the diameter through this point bisects the angle between the chords. Then

Question 5
A hemispherical bowl made of brass has inner diameter 10.5 cm. Find the cost of tin-plating it on the inside at the rate of $Rs.16per100c{m}^2.[Assume\pi =\frac{22}{7}]$

Question 121

Ramesh grew wheat in a rectangular field that measured 32 metres long and 26 metres wide. This year he increased the area for wheat by increasing the length but not the width. He increased the area of the wheat field by 650 square metres. What is the length of the expanded wheat field?

The surface area of a cuboid is 1372 $c{m}^2$. If its dimensions (l:b:h) are in the ratio 4 : 2 : 1, then its length(in cm) is:

(x + 2) is a factor of 2x³ + 5x² - x - k. The value of k is:

Multiply $(7x-4x^2+2x^3-5)$ with $(3x-2)$.

Sheela and Meena together have 30 coins. If Sheela gives 5 coins to Meena, Meena will have double the number of coins Sheela has. Which of the following graphs represents the given information? Also find the solution of the equations.

If two circles each of radii 14 cm intersect and $\angle AOP=45°$​, then the area of shaded region in the given figure is .

Babita invested a sum of money for 2 years at 4% per annum simple interest and earned Rs.480 as the interest.

How much more amount would she get if she had invested the same sum for the same time at the same rate compounded annually?

The radius of a circle if its perimeter and area are numerically equal is

The given table shows number of students in a class.

Which of the following bar graph represents the data correctly?

The graph drawn are based on the following information.
Here the horizontal axis is x-axis which represents class and vertical axis is y-axis which represents number of children. The scale is x-axis 1 cm = 1 class and y-axis 1 cm = 10 children.

In the given parallelogram ABCD, DP = BQ and $\angle ADP=\angle CBQ$. To which triangle is $\Delta ADP$ congruent to?

The inclination of a line whose slope is $\frac{1}{\sqrt{3}}$ is ___

Why addition and multiplication follow the property of closure, but not subtraction and division? Explain with examples. [2 MARKS]

A metal sheet of thickness $2\text{cm}$ was used to make a container of external dimensions $30\text{cm}\times 15\text{cm}\times 25\text{cm}$ which is open from above. Find the volume of the container.

The diameter of a circular park is 14 m. Find the perimeter of the park. Assume ($\pi$= $\frac{22}{7}$).

Find the value of
$\frac{1+sin{30}^{\circ }}{cos{30}^{\circ }}+\frac{cos{30}^{\circ }}{1+sin{30}^{\circ }}.$

Which of the following is significant while diagnosing a disease?

What will be the general cordinate of any point lying on the x-axis?
[2 MARKS]

$ABCD$ is a cyclic quadrilateral whose diagonals intersect at a point $E$. If $\angle DBC={70}^{\circ }$ and $\angle BAC={30}^{\circ }$, then $\angle BCD$= ___. Further, if $AB=BC$, then $\angle ECD$ = ___.

Which pieces are the most numerous at the start of a chess game?

In the given figure, AM $\perp$ BC and AN is the median from $\angle$A. Then,

If in triangle DEF, the greatest angle is twice the smallest and the third angle is 20 degrees more than the smallest, what are the angles?

The region between an arc and the two radii joining the centre of the end points of the arc is called a:

Yuvraj was asked to estimate the sum of 4689 + 19316 and 108 + 2499. Explain with proper steps. [4 MARKS]

The points (1, 1), $(0,se{c}^2\theta ),(cose{c}^2\theta ,0)$ are collinear for