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If the price of a commodity is increased by $50\%,$ then by what fraction must its consumption be reduced to keep the same expenditure on its consumption?

A solid cubical block of fine wood costs Rs.256 at the rate of $500/m^3$. Find the length of each side.

Which of the following fraction is the greatest?

Question 48

Name the points and then the line segments in each of the following figures.

Question 1(c)

Fill in the blanks:
1 crore = _______________ ten lakh

Given that $\angle ACB={20}^{\circ },\angle DCE={40}^{\circ }$.
What is the measure of x $\left(\angle BCD\right)$

1. 162

Select the first operation that is to be done to solve the following:
$15-(6+6\times 6)÷(9+5)$

Which of the following net diagrams can be used for the above-shown pyramid (rectangular base)?

In the algebraic expression $\frac{x}{9}=3$, the value of the unknown is

Question 2(e)

Write True (T) or False (F) against the following statement:

$5.2:3.9::3:4$

Tap on the shape that fills the given image without any gaps.

Identify a dice if its front, top and side views are as shown in the figure.

If ₹70 is distributed equally among 40 poor children, how much will each child get?

If $\frac{2}{7}$ of 14 apples are spoilt, then how many are left?

Subtract $5mn+9m+8n$ from $16m+7n+12mn$.

Which of the following statements is shown by the given number line?

The cost of 50 markers is ₹600. What will be the cost of 2 dozen markers?

Sally earned $\$23.67$ selling lemonade and received $\$1.56$ extra in tips. How much money did she earn in total?

$\text{ABC is a triangle such that AB = 10 cm}\text{and AC = 3 cm. Which of the following}\text{statements are true?}$

How many milliliters are contained in a a) 1 cubic metre b) 1 litre

If the probability of an event $E$ is $\frac{7}{16}$, then what is the probability of complement of the event $E?$

The ratio between two number is 2 : 3 . If the smaller number is 250 , find the bigger number

Some statements are given, followed by some conclusions. Consider the statements to be true even if they seem to be at variance from commonly known facts. Decide which of the given conclusions follow from the given statements.
Statements:
Some rings are phones.
Some phones are computers.
Some computers are stations.
Conclusions:
I. Some stations are rings.
II. Some phones are stations.
III. Some computers are rings.
IV. All rings are stations.

Statement $1$: In $1685$, there were $0$ 'Dodo' birds, i.e. they had become extinct.

Statement $2$: Jack is in the past, as he can spot 'Dodo' birds.

Choose the correct option.

Which of the following number(s) does not lie between (+16) and (-4):

The following are the number of mattresses purchased for a lodging house during the first five months of a year. [4 MARKS]

$$\begin{array}{cc}Month& Numberofmattresses\\ January& 20\\ February& 25\\ March& 15\\ April& 30\\ May& 10\end{array}$$

a. Draw the pictograph of above table.
b. In which month were the most number of mattresses sold?
c. In which month were the least number of mattresses sold?

What is the constant term in the algebraic expression $3x^2+5x+6?$

Question 95

Length and breadth of a bulletin board are r cm and t cm, respectively.

(i) What will be the length (in cm) of the aluminium strip required to frame the board, if 10 cm extra strip is required to fix it property.

(ii) If x nails are used to repair one board, then how many nails will be required to repair 15 such boards?

(iii) If 500 sq cm extra cloth per board is required to cover the edges, then what will be the total area of the cloth required to cover 8 such boards?

(iv) What will be the expenditure for making 23 boards, if the carpenter charges Rs. $x$ per board?

In the below figure, the blue region represents a ______ and red represents a ______.

What will you get if you join following three figures (in the same order and orientation as it is shown)?