Explore topic-wise InterviewSolutions in Current Affairs.

Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of the hemisphere ?

Question 119 (ii)

A square tile of length 20 cm has four quarter circles at each corner as shown in the figure. Another tile with same dimensions has a circle in the centre of the tile as shown in the figure.
If the circle touches all the four sides of the square tile, find the area of the shaded portion. In which tile, the area of the shaded portion will be more? $(Take,\pi =3.14)$

Question 1(e)

Determine if the following are in proportion:

4, 6, 8, 12

Fill in the blanks to make the following statements correct :

(i) The triangle formed by joining the mid-points of the sides of an isosceles triangle is ...

(ii) The triangle formed by joining the mid-points of the sides of a right triangle is ....

(iii) The figure formed by joining the mid-points of consecutive sides of a quadrilateral is ....

Which of these points do not lie on the line 3x - y = 6 ?

The corresponding sides of 2 similar triangles $△ABC$ and $△PQR$ are in the ratio 5 : 2. The length of side PR (in cm) is___________.
Given that AB = 3 cm and AC = 10 cm.

If one angle of a triangle is equal to the sum of the other two, show that the traiangle is right angled.

Construct a triangle ABC in which BC is 5 cm, $\angle B$ is ${60}^{\circ }$ and AB + AC = 10cm. Which type of triangle is this? [3MARKS]

Which of the following figures lie on the same base and between the same parallel lines?

Find 3 irrational numbers between 4 & 5. [2 MARKS]

1. 50

Consider an acute angled ΔABC. D is any point on the side BC such that $\frac{ar\left(△ABD\right)}{ar\left(△ADC\right)}$ = $\frac{2}{3}$. How would you proceed to construct this line segment AD?

If two sides of a triangle are 8 cm and 6 cm and its perimeter is 26 cm. Find the third side of the triangle.

Eleven bags of wheat flour, each marked 5 kg actually contained the following weights of flour (in kg):

4.97, 5.05, 5.08, 5.03, 5.00, 5.06, 5.08, 5.08, 4.98, 5.04, 5.07, 5.00,

Find the probability that any of these bags chosen at random more than 5 kg of flour.

If $4^x$ = 64, then

Assertion: Median of the given data 34, 31, 42, 43, 46, 25, 39, 45, 32 is $39$.
Reason: When the number of observations $\left(n\right)$ is even, the median is the mean of the ${\left(\frac{n}{2}\right)}^{th}$ and ${(\frac{n}{2}+1)}^{th}$ observations.
Which of the following is correct?

Use suitable identities to find the following product: ($y^2$ + $\frac{3}{2}$)($y^2$ – $\frac{3}{2}$)

Question 107

Find the total cost of wooden fencing around a circular garden of diameter 28 m. If 1 m of fencing costs Rs. 300.

Two edges of a rectangular sheet of paper having dimensions 14m $\times$ 7m are held together so that it forms a cylinder. Find the curved surface area of the cylinder.

Which of the following option(s) is/are correct when a transversal intersects two parallel lines?

In a battle 70% of the combatants lost eye, 80% an ear, 75% an arm, 85% a leg, x% lost all of four limbs. The minimum value of x is

In the given figure, if $AB||CD,\angle APQ={50}^{\circ }and\angle PRD={127}^{\circ }$, the value of y is

If $\frac{x}{10!}=\frac{1}{8!}+\frac{1}{9!},$ find the value of x,

The formula given by Heron for computing the area of a triangle is:

Find the class width of the class interval 20-24.

Six squares are connected such that two squares share only one side. Then what is the shortest distance between two opposite corners given that the side length of the square is a?

Factorize: $a^2+2+\frac{1}{a^2}$

P and Q are points on opposite sides AD and BC of a parallelogram ABCD such that PQ passes through the point of intersection O of its diagonals AC and BD. Then, point O ___.

If $tan\theta =\frac{3}{4}$, find $sin\theta$.

Find which of the following are true:

1.All rhombuses are squares
2.All squares are rectangles
3.All rectangles are parallelograms
4.All parallelograms are quadrilaterals
5.All parallelograms are rhombuses

An iron pipe $20cm$ long has exterior diameter $25cm$. If it's thickness is $1cm$ then find the whole surface area of the pipe.

Match the following.
$\begin{array}{cc}i)\text{horizontal}& a)\text{is the angle between line of sight and the horizontal}\\ \text{level}& \text{level when the object is above the horizontal line.}\\ ii)\text{line of sight}& b)\text{is the line running parallel to the plane on}\\ & \text{which the object is kept.}\\ iii)\text{angle of}& c)\text{is the lined drawn from the eye of the observer to the}\\ \text{elevation}& \text{point in the object viewed by the observer.}\\ iv)\text{angle of}& d)\text{is the angle between line of sight and the horizontal}\\ \text{depression}& \text{level when the object is below the horizontal line.}\end{array}$

Which of the following is an inference that could be drawn from central tendency?

Factorize the expression $9-30y+25y^2$. [2 MARKS]

An irrational number between 2 and 2.5 is:​

What must be subtracted from $(x^3-3x^2+5x-1)$ to get $(2x^3+x^2-4x+2)$ ?

A water container can hold 40 litres of water. Then find the total number of ice cubes of side 5 cm which the container can hold.

In the given figure, O is the centre of the circle with radius 5 cm. OP and OQ are perpendiculars to AB and CD respectively. AB = 8 cm and CD = 6 cm. Determine the length of PQ.

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If $\angle$DAC = ${32}^{\circ }$ and $\angle$AOB = ${70}^{\circ }$, then ∠DBC is equal to: