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Number of people working in Bamboo industries from different villages and the ratio of men to women working:

Q71. What is the respective ratio of number of men working in Bamboo industries from village B to that from village C?

Question 2(c)

Find the product by suitable arrangement:

$8\times 291\times 125$

The vector $\overrightarrow{a}$ which is collinear with the vector $\overrightarrow{b}=\hat{i}-3\hat{j}+\hat{k}$ and satisfies the condition $\overrightarrow{a}\cdot \overrightarrow{b}=22$ is

Ross purchases an article for Rs. 7000 and sells it to customers for Rs. 8200. If VAT is $6\%$, find the VAT paid by Ross.

1. 4

Look at the given graph and find out the range and domain of the function shown below.

Shakshi has a recurring deposit account in a bank for 5 years at 9% per annum simple interest. If she gets Rs.51607.50 at the time of maturity, what was her monthly installment?

Four times B's age exceeds A's age by twenty years.

Evaluate $\int 3^x\cdot {\pi }^{x}dx$

(where $C$ is constant of integration)

In an AP, if d = - 4 , n = 7 and a_n = 4, then a is equal to

A) 6
B) 7
C) 20
D) 28

Two poles of equal heights are standing opposite each other an either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60° and 30º, respectively. Find the height of poles and the distance of the point from the poles.

ABC is a triangle. E and F are mid points of AC and AB respectively. If the area of $△$ ABC is $\lambda$ times the area of $△$FCE, then $\lambda$ =

A tent is in the form of a cylinder of diameter 20 m and height 2.5 m, surmounted by a cone of equal base and height 7.5 m.Find the capacity of the tent and the cost of the canvas at Rs.100 per square metre.

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

In the sum of products function $f(X,Y,Z)=\sum m(2,3,4,5),$ the prime implicants are

The equation of the directrix of the parabola $x^2-4x-3y+10=0$ is

Find a relation between x and y such that the point A(x, y) is equidistant from the points P(7, 10) and Q(3, 5).

The picture below shows a petrol tank.

How many litres does it hold?

Question1 (iii)

Answer the following and justify

iii) If on division of a polynomial p(x) by a polynomial g(x), the quotient is zero, what is the relation between the degree of p(x) and g(x)?

Solve following equation for $x$:

$x^2-3x-10=0$

If an equilateral triangle OAB is drawn as shown in below figure with side 6 units then which of the following is/are vertices of the triangle.

What is the range of 6, 3, 9, 12, 0, 1?

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the center is 25 cm. The radius of the circle is

Find the sum of the following A.P
$\frac{1}{15},\frac{1}{12},\frac{1}{10},\dots \dots ,\text{to}11\text{terms}$

If there are two class intervals 10-20 and 20-30, then in which interval will 20 fall?

Find the 6th term from the end fo the AP 17, 14, 11,... , (-40).

In an isosceles right triangle, the length of the hypotenuse is 10 cm. Then the perimeter of the triangle is:

Find the sum of three consecutive largest positive integers such that the sum of one-third of first, one - fourth of second and one -fifth of the third is atmost 20.

Prove that the area of similar triangles have the same ratio as the squares of corresponding medians.