Explore topic-wise InterviewSolutions in Current Affairs.

An ice-cream machine has two taps for filling ice-cream cones of height 6 cm and radius 3 cm. If the flow rate of ice-cream from both taps is equal to 2 $c{m}^3{s}^{-1}$. Find the maximum number of cones machine can fill in an hour.

The coefficient of x² in (2 – 3x²) (x² – 5) is

If $\alpha$ and $\beta$ are the zeros of polynomial
$x^2+3x-2$, find $\frac{1}{(\alpha {)}^3}+\frac{1}{(\beta {)}^3}$.

Given is the working hours of employees of an institute. Draw a frequency plot of data.

$\begin{array}{cc}workinghours& people\\ 4-5& 20\\ 5-6& 25\\ 6-7& 7\\ 7-8& 25\\ 8-9& 13\\ 9-10& 9\end{array}$
[4 MARKS]

If P (2, – 1), Q(3, 4), R(–2, 3) and S(–3, –2) be four points in a plane, show that PQRS is a rhombus but not a square. Find the area of the rhombus.

Let $f\left(x\right)=x^2$ and $g\left(x\right)=3x+4$. Find the value of $\frac{(f+g)\left(x\right)}{(f-g)\left(x\right)}$ when $x=1$

Draw a trapezium ABCD in which vertices A, B, C and D are (4,6), (-2,3), (-2,-5) and (4,-7) respectively. [3 MARKS]

In the given figure, $RS=QT$ and $QS=RT.$ Then which of the following options is correct?

What is the volume of a cylinder whose radius is 2 cm and height is 14 cm?

In the given figure, find the value of x for which the lines l and m are parallel.

Find the values of $cot\theta andcosec\theta$ in the figure given above.

Let R be a relation over the set $N\times n$ and it is defined by (a, b) R (c, d) $\Rightarrow$ a+ d = b + c. Then, R is

If the height of a cylinder is ³/₂ of radius and the radius is 7 cm, then the volume of cylinder is

In the given figure area of $\Delta DAC=45c{m}^2$, then find the area of rectangle ABEF.

The general form of equation in one variable is:

1. 103

If the observations 3, 5, 7, 4 have frequencies x, x+4, x-3, x+8 respectively and mean of these observations is 4, then find the value of 'x'.

If p(x)= 2x² – 3x + 1 does not have x-a as a factor, then p(a)

Find the area of the triangle ABC.

If (x-1,y+3) = (4,4) then ___

In how many points a line, not in a plane, can intersect the plane?

How many least number of distinct point determine a unique line?

Look at this series: 1.5, 2.3, 3.1, 3.9, ...
What number should come next?

Find the perimeter and area of the quadrilateral ABCD in which AB = 21 cm, $\angle BAC={90}^{\circ },$ AC = 20 cm, CD = 42 cm and AD = 34 cm.

The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rectangle, if

(a) ABCD is a parallelogram

(b) ABCD is a rectangle

(c) diagonals of ABCD are equal

(d) diagonals of ABCD are perpendicular to each other

Simplify : $\sqrt{3+2\sqrt{2}}$.

Read the sentences and choose the correct option.

Lalit had enough to help the poor.

We have enough mangoes for the season.

The mean of 14, 25 , 14 , 28 , 18 , 17 , 18 ,14 , 23 , 22, 14 ,18 is ___.

For an open cubical box of edge a units, the cost of painting it from the outside at the rate of Rs b per sq unit is

If the ratio of the perimeters of two similar triangles ABC and DEF is 3:7 .What is the ratio of their corresponding sides?

Match the following

$$\begin{array}{cc}\text{Column A}& \text{Column B}\\ 1.A=\{x:xisanoddnaturalnumber\}& a.\{\frac{1}{2},\frac{1}{3},\frac{2}{3},\frac{3}{4},\frac{3}{5},\frac{5}{7}\}\\ 2.B=\{x:x=(n^2)\},n\in Nandx<100& b.\{1,4,9,16,25,........10000\}\\ 3.C=\{x:x=\frac{n}{n+2},wherenisanaturalnumberand1\le n\le 6\}& c.\{1,4,9,16,25,36,49,64,81\}\\ 4.D=\{x:xisaletterofthewordTRIGONOMETRY\}& d.\{G,E,I,M,N,O,R,T,Y\}\\ & e.\{1,3,5,7,9,...............\}\end{array}$$

1. 20

The zero of the polynomial p(x) = ax+b is ______.

ABDE is a trapezium with $AE\parallel BD$ and $ED\perp BD$, and AC is drawn parallel to the side DE.

Find the values of $\text{cot}\theta and\text{cosec}\theta$ respectively, from the figure.

A rectangular paper of length l and breadth h is wrapped around a cylindrical can of radius r and height h.

S1 : The length of rectangular sheet required equals circumference of circle

S2 : The area of rectangular sheet required = 2πrh

How many plastic boxes of size $9cm,6cm,5cm$ can be packed inside a cardboard box of size $36cm,24cm,20cm$?

Question 1 (iii)
Write $4\frac{1}{8}$ in decimal form and say what kind of decimal expansion it has.

Two chords $AB$ and $AC$ of a circle subtends angles equal to ${90}^{\circ }$ and ${150}^{\circ }$ respectively at the centre. Find $\angle BAC$.

In the given figure, ABCD is a parallelogram. If E AND F are midpoints of BC and AD respectively, then which of the following statements is correct?

ABCD is a parallelogram, if the two diagonals are equal, find the measure of $\angle$ ABC. [2 Marks]

Choose the correct statement

If x=5-2√6.

Find value of √x-1/√x.