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A corn cob shaped somewhat like a cone has a base radius of 2.1 cm and length 20 cm. If each 1 sq. cm of the surface of the cob carries an average of four grains, find approximately how many grains you would find on the entire cob?

In $△$ PQR , $\angle$ Q = ${90}^{\circ }$. If cot P = $\sqrt{3}$ then, find the value of $\frac{sinP+cosR}{tanR}$.

The equation of the line which cuts off an intercept 3 units on x-axis and an intercept -2 units on y-axis, is

2 women and 5 men complete work in 4 days , while 3 women and 6 men together complete work in 3 days . find the time taken by 1 man alone to complete work and also time taken by 1 women alone to complete the work

The sum up to $n$ terms of an AP with first term $a$, last term $l$ and common difference $d$ is:

The number of numbers of 4 digits which are not divisible by 5 are ___.

A circus artist is climbing a 20m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. The height of the pole is

Observe the given number pattern

1

2 3

4 5 6

7 8 9 10

.......

.......

Which line as the last number 231?

Divide 15 into two parts such that the sum of their reciprocals is $\frac{3}{10}$.

A number whose double is 48 greater than its half is-

The value of $tan\theta \times cosec\theta \times cot\theta$ is ________ .

Which of the following option is correct?

S1 : Total surface area of a cuboid is the sum of areas of 4 faces excluding top and bottom faces.

S2 : Lateral surface area of a cuboid is the sum of areas of 4 faces excluding top and bottom faces.

S3 : Area of a face of a cuboid is of the form xy, where x and y are its length and breadth respectively.

Express the hcf of 48 and 18 as a linear combination

Given $A=\left[\begin{array}{ccc}2& -6& 0\\ -1& 5& 8\\ 3& -2& 4\end{array}\right]\text{and}C=\left[\begin{array}{ccc}3& 0& 0\\ 0& 2& 0\\ 0& 0& 1\end{array}\right]$

Find a matrix B, such that A+B=C

At present Ashas the is 2 more than the square of her daughter Nisha age .When Nisha grows to her mother's present age ,Ashas age would be one year less than 10 times he present age if Nisha .Find the present ages of both Asha and Nisha .

Find the angle subtended at the origin by the line segment whose end points are (0, 100) and (10, 0).

Two dice are thrown together. Teh probability of getting a doublet is
(a) $\frac{1}{3}$ (b) $\frac{1}{6}$ (c) $\frac{1}{4}$ (d) $\frac{2}{3}$

Which of the following satisfies the equation $a^2{b}^2{x}^2-b^{2}x-a^{2}x+1=0$?

Solve for x:
$\left(i\right)\frac{x-1}{x-2}+\frac{x-3}{x-4}=3\frac{1}{3};x\ne 2,4\left(ii\right)\frac{1}{x}+\frac{2}{2x-3}=\frac{1}{x-2},x\ne 0,\frac{3}{2},2\left(iii\right)x+\frac{1}{x}=3,x\ne 0\left(iv\right)\frac{16}{x}-1=\frac{15}{x+1},x\ne 0,-1\left(v\right)\frac{1}{x-3}-\frac{1}{x+5}=\frac{1}{6},x\ne 3,-5,$

Solve each of the following systems of equations graphically:

$2x+3y=8,x-2y+3=0.$

If the median of the following data is 50, then find p.
$\begin{array}{cccccc}Class& \text{0-20}& \text{20-40}& \text{40-60}& \text{60-80}& \text{80-100}\\ Frequency& \text{10}& \text{7}& \text{16}& \text{p}& \text{8}\end{array}$

The interior of building is in the form of a right circular cylinder of radius 7m and height 6m, surmounted by a right circular cone of same radius and of vertical angle ${60}^{\circ }$. Find the cost of painting the building from inside at the rate of Rs 30 per $m^2$

$TwocirclesintersectinAandB.QuadrilateralsPCBAandABDEareinscribedinthesecirclessuchthatPAEandCBDarelinesegments.\angle P={95}^{0}and\angle C={40}^0.FindthevalueofZ.$

Find a, b and c if $\left(\begin{array}{cc}ab& a+b\\ 8-c& a+c\end{array}\right)=\left(\begin{array}{cc}-6& -1\\ 9& 1\end{array}\right)$

How many polynomials can have its zeroes as -2 and 5?

One of the real roots of the quadratic equation $3x^2-5x-2=0$ is :

Which term of AP :21 , 18 ,15 ....is zero?

Factorise :

$3-a(4+7a)$

Mr. Michel invested Rs 52000 on Rs 100 shares at a discount of Rs 20 paying $8\%$ dividend. At the end of one year he sells the shares at a premium of Rs 20. Find his annual dividend.

Chose which of the following expressions equals sinA + cosA.

In the figure, AB || DC, ∠BCE = 80^o, & ∠BAC = 25^o. Find ∠CBD, ∠ADC.

If $A=\left[\begin{array}{cc}0& 2\\ 3& -4\end{array}\right]$, $kA=\left[\begin{array}{cc}0& 3a\\ 2b& 24\end{array}\right]$,then the values of k, a, b respectively are ______ .

How can we know in which question we have to find LCM or HCF

Find the smallest number which leaves remainder 8 and 12 when divided by 28 and 32 respectively.

Why is Euclid's division algorithm , only for positive numbers.? Why not for negative numbers. ?

In the given diagram PM and PN are the tangents from P to the circle. Find the area of quadrilateral OMPN if OM = r and PM = 2r.

In the given fig., angle OBC = 30^o, then value of x is:

If for non-zero $x$, $3f\left(x\right)+4f\left(\frac{1}{x}\right)=\frac{1}{x}-10$, then ${\int }_2^{3}f\left(x\right)dx$ is equal to

The time (in seconds) taken by 150 athletes to run a 110 m hurdle race are tabulated below:

$\begin{array}{ccccccc}\text{Class}& 13.8-14& 14-14.2& 14.2-14.4& 14.4-14.6& 14.6-14.8& 14.8-15\\ \text{Frequency}& 2& 4& 5& 71& 48& 20\end{array}$

The number of athletes who completed the race in less than 14.6 s is

Find n and d where a=8 , a_n=62 ,S_n=210.

Taxes which are imposed on the weight of commodities are called