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Given that a, b, c, d, p and q are natural numbers such that a < b and d < c. It is also given that the following result holds true:

$\frac{a}{b}\times \frac{d}{c}=\frac{q}{p}$

Choose the correct option(s):

Find the area of the given rectangle (all the lengths are in cm).

In a $△$ABC, if 2$\angle$A = 3$\angle$B = 6$\angle$C, then $\angle$A, $\angle$B, $\angle$C are respectively _________.

In the construction of a right angle, what is the first basic angle that would be obtained? (in degrees)

If 78952 $\times$ 3546 = 279963792, then 789.52 $\times$ 3.546 = _______.

Determine the line(s) of symmetry for the rectangle PQRS.

3x=5x-8/5

The difference between any two consecutive interior angles of a polygon is $5^{\circ }$. If the smallest angle is ${120}^{\circ }$, find the number of the sides of the polygon.

Two numbers are in the ratio of 11:7 if the smaller no.is 700 what is the bigger no.

If c is the HCF of 'a' and 'b', then find the HCF of a/c and b/c .

At a certain conference of 100 people there are 29 Indian women and 23 Indian men of these Indian people four doctors and 24 are either men or doctors. There are no foreign doctors how many foreigners and women doctors are attending the conference!?

Question 1 (iv)

Get the algebraic expression in the following case using variables, constants and arithmetic operations:

One-fourth of the product of numbers p and q.

Which of the following numbers is a perfect number:

For an isosceles $\Delta NVY$, in which NV = NY, which of the following is true ?

Arrange the following in descending order.

$\frac{7}{8}$, $\frac{2}{8}$, $\frac{11}{8}$, $\frac{3}{8}$

How many cubic metres of water can be put into a box measuring 3 m x 2 m x 4 m?

L.C.M. of 1 and 90 is __.

The angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6, find the smallest angle.

Observe the following bar graph:

Number of students who like orange colour are:

The prime factors of a number is given as 3 × 3 × 11 × 101. Which of the following is correct about the number?

Question 12 (f)

Fill in the blanks:

The smallest even number is _______.

Degree of the algebraic expression $4x+5x+2$ is ______.

A water tank is 55 metres long, 25 metres wide and 8 metres deep.It is half filled. How many litres of water does it contain now ?

The number of times an observation occurs in a data is called it's __________.

Calculate the length of a box if its volume=$4,85,139m^3$, breadth = $69m$ and height = $79m$.

Construct a line segment AB of length 4.2 cm using a compass and a ruler. How many lines can be drawn from the point A? [2 MARKS]

There are two points in a plane. If you join these two points, then you will get a _____

Tom is hungry and decides to go to KFC. On his way, he comes across two roads that cross each other at a point. What are such roads with a common point called?

If the area of a rectangle of length = 3 m and width = 7 m is $\text{21}{m}^2,$ then what is the volume of a rectangular block having length = 3 m, width = 7 m and height = 1 m?

Which of the following illustrates the distributive property?

Which of the following angles cannot be obtained from 180 degrees?

Question 43

Fill in the blanks to make the statements true.

To find the ratio of two quantities, they must be expressed in ___ units.

For the given data set, you wish to make a histogram. What will be the width of each bar, given that 1kg is 2 units in the x axis?

$$\begin{array}{cc}\text{Weights(Kg)}& \text{No. of persons}\\ 40-45& 4\\ 45-50& 12\\ 50-55& 13\\ 55-60& 6\\ 60-65& 5\end{array}$$

Question 10 (c)

Find the LCM of the following numbers:
6 and 5
Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?

Find out the appropriate word which fits the 7th blank.

_____ triangle has exactly one line of symmetry.

If 100 paise =1 rupee then how much is 1 paise in rupee?

If 10 mm = 1 cm then how much is 0.1 mm in cm?

The corners of a solid shape are called its _________; the line segments of its skeleton are called its ___________; and its flat surfaces are its ________. The respective blanks should be filled by:

Solve the equation $\frac{5x-3}{12}=1$. The value of $x$ is

A cuboid is formed by stacking 328 cubes of side 1 m.what is the volume of the cuboid?

If $N÷5$ leaves a remainder of 3, what might be the ones digit of the number N?

Identify the labelled part AB in the figure given below.

Question 4(c) :

Look at the figures and write ‘<’ or ‘>’ between the given pairs of fractions:

$\frac{2}{3}\square \frac{2}{4}$

If walking $80$ km towards south is denoted by $-80$,then what does the following denotes? [4 MARKS]
(i) $+20$ km
(ii) $-30$ km
(iii) $-70$ km
(iv) $+45$ km