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Which of the following is an algebraic equation?

Add :p ( p - q ), q (q - r ) and r (r - p ).

If 24x is a
multiple of 3, where x is a digit, what is the value of x?

(Since 24x is a
multiple of 3, its sum of digits 6 + x is a multiple of 3; so
6 + x is one of these numbers: 0, 3, 6, 9, 12, 15, 18….
But since x is a digit, it can only be that 6 + x = 6
or 9 or 12 or 15. Therefore, x = 0 or 3 or 6 or 9. Thus, x
can have any of four different values)

What will be the $8^{th}$ term of the sequence: 6, 10, 14, 18…

Question 6

Using the given pattern, find the missing numbers:

$1^2+2^2+2^2=3^2$

$2^2+3^2+6^2=7^2$

$3^2+4^2+{12}^2={13}^2$

$4^2+5^2+{\underset{–}{}}^2={21}^2$

$5^2+{\underset{–}{}}^2+{30}^2={31}^2$

$6^2+7^2+\underset{–}{}2=\underset{–}{}2$

When $5a^{2}b+10b^2{c}^2-21ab+32$ is subtracted from $50-20b^2{c}^2-4bc-ac-5ab$, we get

The following are the marks obtained in Maths by students of Class 8:
51, 94, 34, 20, 50, 81, 81, 90, 76, 34, 51, 86, 93, 99, 26, 54, 85, 71, 88, 40, 44, 56, 55, 57, 78, 53, 81, 78, 65, 78.
The data have to be grouped to find the mean marks.
One of the class intervals made is 60-70.
How many should such class intervals be prepared?
What is the frequency of the last class interval?
What is $\sum f_i$ ?

Which of the following letter has rotational symmetry only i.e. there is no line symmetry?

Which of the following alphabets don't have any line of symmetry?

Write the fraction representing the shaded portion in the following figure:

Choose the correct mapping diagram of the function $y=2x-3,$ where $x$ is the integer values between $-5.5$ and $-\mathrm{2.5.}$

The diameter of Earth is $1,27,56,000m$. Express the number in the standard form.

An irreducible factor is a factor which cannot be expressed further as a ___ of factors.

The students of class VIII of a school donated Rs. 2401 for PM's National Relief Fund. Each student donated as many rupees as the number of students in the class.

Kamala borrowed ₹ 26,400 from a bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?

A piece of wire measures $24cm$. What is the measure of $4$ such pieces of wire?

What is the degree of the expression $\frac{5\cdot x^{\frac{2021}{2022}}}{x^{\frac{2021}{2022}}}?$

The distance between two stations is 300 km. Two motorcyclists start simultaneously from these stations and move towards each other. The speed of one of them is 7 km/h more than that of the other. If the distance between them after 2 hours of their start is 34 km, find the speed of each motorcyclist. Check your solution.

Following are the car parking charges near a railway station up to:



$\begin{array}{cc}4hours& Rs.60\\ 8hours& Rs.100\\ 12hours& Rs.140\\ 24hours& Rs.180\end{array}$

Check if the parking charges are in direct proportion to the parking time.

If a=b,show that abc=bac

If a basketball costs ₹ 25 and there is a 50% discount, how much money is saved?

The sides of a rectangle are in the Ratio 8 : 10. By what fraction should the shorter side be increased to make it a square?

Reciprocal of $\frac{-3}{4}$ is

(a) $\frac{4}{3}$

(b) $\frac{3}{4}$

(c) $\frac{-4}{3}$

(d) 0

Question 173

The distance between the Sun and the Earth is $1.496\times {10}^{8}km$ and distance between the Earth and the Moon is $3.84\times {10}^{8}m$. During solar eclipse, the Moon comes in between the Earth and the Sun. What is the distance between the Moon and the Sun at that particular time?

Which of the following will have 1 in the units place?

If A and B are disjoint sets then,

n(A U B) = ____.

Factorise $x^3-4x^2+4x-16$