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Mohd. Aslam purchased a house from Avas Vikas Parishad on credit. If the cost of the house is Rs 125000 and the Parishad charges interest at $12\%$ per annum compounded half-yearly, find the interest paid by Aslam after a year and a half.

Factorize:
$a^2+6a+9-4b^2$

Q93. Consider the following Statements regarding Official Language:

1. Article 343 (1) of the Constitution provides that Hindi in Devanagari script shall be the official language of the Union.

2. Article 343 (3) empowered the Parliament to provide by law for continued use of English for official purposes even after January 25, 1965.

Which of the above statement(s) is/are correct?

1. 110

If the area of a square plate is 100 m², then what is the side length of the square plate and its perimeter respectively?

Multiplying 3x and 4y gives:

Please explain me the derivation of the formulas of time and work

What is the factorised expression for $x^3-27$?

What are the factors of 0?

Due to transformation if no point on the object is fixed, then the transformation can be ___.

If the mean of $6,4,x,13,10$ is $8$. Find the value of x.

Simplify:

(2x - x²)(1- 3x²)(5- 2x²)

Question 2 (ii)
Write a Pythagorean triplet whose one member is:

14

Shalini deposited ₹4,00,000 in a bank where she was promised an interest of 10%. She deposited it for two years. Find the difference between the amounts she would receive in case of interest being compounded annually and simple interest, for the same deposit.

Question 4(i)
Evaluate:

$\frac{8^{-1}\times 5^3}{2^{-4}}$

Show that:
$(9p-5q{)}^2+180pq=(9p+5q{)}^2$

Find the square root by means of factors 298116,11644

Maria invested ₹8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find the interest for the third year.

In △ABC, ∠A = 40° and ∠B = 60°. The longest side is

Look at the following table below.
$\begin{array}{cc}Classinterval& Classmark\\ 0-5& \\ 5-10& \\ 10-15& \\ 15-20& \end{array}$

The class-mark for the first and second class intervals are:

Construct a quadrilateral ABCD in which AB = 4.4 cm, BC = 4 cm, CD = 6.4 cm, DA = 2.8 cm and BD = 6.6 cm. [3 MARKS]

Factorize $x^2$ + 2x + 8x + 16 by the method of common factors

( x+__)( x+__)

If a number ends with 3 zeroes, how many zeroes will its square have ?

Find the amount on ₹ 30,000 in 2 years , when the rates of interest for two successive years are 10 % and 12 % successively

$(\frac{1}{x}+\frac{1}{y})(\frac{1}{x}-\frac{1}{y})=?$
(a) $(\frac{1}{x^2}-\frac{1}{y^2})$
(b) $(\frac{1}{x^2}+\frac{1}{y^2})$
(c) $(\frac{1}{x^2}+\frac{1}{y^2}-\frac{1}{xy})$
(d) $(\frac{1}{x^2}-\frac{1}{y^2}+\frac{1}{xy})$

I have read 158 pages of a 1588 page book. How many pages more should I read to finish half the book?

y is inversly proportional to $x^2$.
Given that y = 2.5 when x = 24. Write the expresion for y in terms of x.Also find the value of x when y=1.6

Evaluate :
$\sqrt[3]{31728}$

Given that the number $\overline{35a64}$ is divisible by 3, where a is a digit, what are the possible volues of a?

Question 141

A three-digit perfect square is such that, if it is viewed upside down, the number seen is also a perfect square. What is the number?

[Hint: The digits 1, 0 and 8 stay the same when viewed upside down, whereas 9 becomes 6 and 6 becomes 9].

Find the sum of the lengths of the bases trapezium whose area is 4.2 $m^2$ and whose height is 280 cm.

There are 16 workers working to construct a wall and it will take 48 hours to build it. But due to some accident, 4 workers die. Now, the contractor wants the wall to be built in 32 hours. How many more workers are required to complete the job?

The point (2, 7) is at a distance of ___________ from the y-axis.

Which of the following statements is true? (Rate of interest = R% per annum)

The reciprocal of $\frac{4}{32}$ is___.

The construction of $\Delta ABC$, given that BC = 6cm, $\angle B={45}^{\circ }$ is not possible when the difference between AC and AB is equal to

What are the criteria for congruence of triangles?

Find the area of the following field. All dimensions are in metres.

If $\frac{2^{(2a+1)}\times 3^{(3b+2)}}{6^2}=2^x\times 3^y$

Chose the correct option: