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The size of land holdings of 380 families in a village is given below. Find the median size of land holdings.

How many different three letter words, can be made from the letters of the word CHANGE, both with and without meaning but without any repetition?

Simplify:

${(xy+yz)}^2-{(xy-yz)}^2$

Find the multiplicative inverse of $\frac{4}{7}$.

If the unit digit of a number is 7, then the unit digit of its cube is

Ted went to a nursery where grass beds were sold. In order to put them on his lawn, he bought 28 rectangular grass beds measuring 10 cm by 15 cm. When he went back and arranged the grass beds on his lawn, 4 beds were left unused. Find the area of the lawn (in square cm).

$\text{By selling a bouquet for Rs,322 a florist gains}15\%.\text{At what price should he sell it to gain}25\%$

In Fig. AB > AC. Show that AB > AD.

What is the square root of 10 rounded to 1 decimal place?

Question 85

State whether the following statement is true or false:

There is no cube root of a negative integer.

Age of a man was ${\frac{2}{5}}^{th}$ of the age of the tree in his housing complex. The tree was 90 years old. If the man's age multiplied by a number $x$ equals 180, then find $x$.

Question 144(ii)

Four friends had a competition to see how far could they hop on one foot. The table given shows the distance covered by each.

$\begin{array}{cc}\text{Name}& \text{Distance covered (in km)}\\ \text{Seema}& \frac{1}{25}\\ \text{Nancy}& \frac{1}{32}\\ \text{Megha}& \frac{1}{40}\\ \text{Soni}& \frac{1}{20}\end{array}$



What is the total distance covered by Seema and Megha?

Mohit invested ₹ 5,000 on June 5, 2013, at a rate of 8% per annum simple interest. What amount will he be getting on on August 17, 2014?

Find the value of $(3a-\frac{1}{2})(3a-\frac{1}{2})$.

Question 67
For all rational numbers x and y, $x\times y=y\times x$

Find the additive inverse of each of the following numbers:

Expand: ${[\sqrt{3x}-\frac{\sqrt{2}}{5}y]}^2$

The bar graph below gives the calories consumed by three friends A, B and C after eating chocolate. How many calories does B consume?

The length, breadth and height of a cuboid are in the ratio 6:5:3. If the total surface area is 504 cm², find its dimension. Also find the volume of the cuboid.

Abu, Babu and Sabu deposited 10000 rupees each, under various schemes which give 10% interest. Abu gets interest compounded annually, Babu gets interest compounded every half-year and Sabu gets interest compound every quarter. Compute the total amount each would get after 2 years.

Compute the following differences

$(124\times 76)-(126\times 74)$

The ___ property states that we can add rational numbers in any order.

If $\frac{x+c}{x+1}=c+1$. Express $x$ in terms of $c$.

Given c is a constant, $c\ne 0$, $c\ne -1$ and $x\ne -1$.

Question 5

Convert the given frequency distribution into a continuous grouped frequency distribution.



$\begin{array}{cc}\text{Class interval}& \text{Frequency}\\ 150-153& 7\\ 154-157& 7\\ 158-161& 15\\ 162-165& 10\\ 166-169& 5\\ 170-173& 6\end{array}$



In which intervals would 153.5 and 157.5 be included?

ABCD is a kite. If $\angle DAB$ is two times $\angle ADC$, find the value of $\angle ABC$ in terms of $\angle ADC$.

For the rational numbers a, b and c, which of the following is true?

A man bought 2 shirts, which together cost him ₹ 480. He sold one of them at a loss of 15% and the other at a gain of 19%. If the selling price of both the shirts are equal, find the cost price of the lower priced shirt.