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Hameed has built a cubical water tank with lid for his house, with each outer edge 1.5m long. He gets the outer surface of the tank excluding the base, covered with square tiles of side 25cm. Find how much he would spend for the tiles, if the cost of the tiles is ₹360 per dozen.

In the rectangle ABCD, O is any point inside the rectangle. If area( ΔAOD) = 30 $c{m}^2$ and area( ΔBOC) = 60 $c{m}^2$, area of the rectangle ABCD is

(in $c{m}^2$)

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

A circular wire of diameter 10cm is cut and placed along the circumference of a circle of diameter 1 metre. The angle subtended by the wire at the centre of the circle is equal to

In the above figure, ABCD is a square and BCE is an equilateral triangle, what is the measure of angle DEC?

A wheel of radius 20 centimetres rolls along. How much would it move ahead after 10 rotations?

A cricket ball of radius $r$ fits exactly into a cylindrical tin as shown in the figure below. What will be the ratio between the surface areas of the cricket ball and the tin?

The ratio of the circumference of a circle to the diameter of the circle is.

In FIFA world cup '14 Brazil scored the following number of goals through the season

3 , 2 , 1 , 4 , 3 , 1 , 2 , 4 , 3 , 2 .

Make a ungrouped frequency table for the given data. [2 MARKS]

If copper having density $\rho =9.0g/c{m}^3$ and atomic mass $63.5u$ crystallizes in face centered unit cell, then what is the value of edge length of the unit cell?

The area of a parallelogram is 30 square centimetres. One of its sides is 6 centimetres and one of its angles is 60°. What is the length of its other side?

Question 159(i)

Find a single repeater machine that will do the same work as each hook-up.

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?

If sum of opposite angles of a quadrilateral is ${180}^{\circ }$, then the quadrilateral is a _____.

In the given figure, a || b and c || d. If $\angle 1={75}^{\circ }$, what is the measure of $\angle 3$?

When a polynomial p (x) is divided by (x-1), the remainder is 5, and when it is divided by (x-2), the remainder is 7. Find the remainder when f (x) is divided by (x-1)(x-2)

PQRS is a square, P is joined to a point T on QR and S is joined to a point U on PQ. If PT = SU and PT intersects SU at V, then $\angle TVU$ is equal to

Find the measure of $\angle ADC$ in the given figure.

In a family with two sons, a father has a field in the form of a right-angled triangle with sides including right angle are 18m and 40m. He wants to give independent charge to his sons, so he divided the field in the ratio 2 : 1 : 1, the bigger part he kept for himself and divided remaining equally among the sons. Find the total area distributed to the sons.

It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square metres of the sheet are required for the same ?

Without actual division, find which of the following rational numbers are terminating decimals. (i) $\frac{13}{80}$ (ii) $\frac{7}{24}$ (iii) $\frac{5}{12}$ (iv)$\frac{31}{375}$ (v) $\frac{16}{125}$