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Rekha borrowed ₹40,000 for 3 years at 10% per annum compound interest. Calculate the interest paid by her for the second year.

$\frac{8\times (3.75{)}^3+1}{({7.5}^2-6.5)}isequalto$

The set of intelligent students in a class is

______ is a rational number between 3/7 and 6/7.

a and b are two numbers such that a exceeds 0.95b by x and b exceeds 0.95a by y. Then a + b =

How many rational numbers are there between $\frac{5}{7}$ and $\frac{6}{5}$ ?

1. 136900

Write cubes of five natural numbers which are multiples of 3 and verify the following the cube of a natural number which is a multiple of 3 is a multiple of 27

A retailer purchases goods worth Rs 33, 600 and gets a discount of 14% from a whole seller. For paying in cash, the whole seller gives an additional discount of 1.5% on the amount to be paid after the first discount. What is the net amount the retailer has to pay?

The base of a cold drink can have an area of $25\pi {\text{cm}}^2$ and it has a height of $10\text{cm.}$ What is the curved surface area of the cold drink can?

Question 86

Translate each of the following statement into an equation.

(a) The perimeter (p) of an equilateral triangle is three times of its side (a).

(b) The diameter (d) of a circle is twice its radius (r).

(c) The selling price (s) of an item is equal to the sum of the cost price (c) of an item and the profit (p) earned.

(d) Amount (a) is equal to the sum of principal (p) and interest (i).

Choose the correct option:

If a point P has coordinates (3, 4) in a coordinate system, and if O has coordinates (4, 3) in another systemwith X′OX ||, then the coordinates of P in the new system is _____________.

A. (3, 4)

B. (1, −1)

C. (7, 7)

D. (−1, 1)

The graph depicts the percentage of men and women suffering from migraine in various age groups.



a) In which age group, there is a huge difference between the percentage of men and women?



b) In which age group, the percentage of women is the least?

c) What is the percentage of women in the age group of 18-44?

In order to obtain an income of rs.650 from 10% loss at ruppees96, one must take an investment of;

1)3100

2)6420

3)6500

4)9600

Question 85 (iv)

Expand the following, using suitable identities.

${(\frac{2}{3}x-\frac{3}{2}y)}^2$

Simplify the given expression:
$(3y+12b)(5a-b)÷(y+4b)(25a^2-b^2)$

If a circle is divided into 18 equal parts, what is the measure of angle for each division?

निम्नलिखित प्रश्न का उत्तर (50-60 शब्दों में) लिखिए −

सूखे हुए कीचड़ का सौंदर्य किन स्थानों पर दिखाई देता है?

What is data? [1 MARK]

Question 7 (i)

AB is a line segment and P is its mid-point. D and E are points on the same side of

AB such that $\angle BAD=\angle ABEand\angle EPA=\angle DPB$ (See the given figure). Show that

$\Delta DAP\cong \Delta EBP$

Consruct a quadrilateral ABCD such that AB=BC=5.5 cm,CD=4 cm, DA=6.3 cm, and AC=9.4 cm, Measure BD.

What remains after 4 is subtracted on both sides is $2x=6$ Which of the following operations can I perform next to obtain the value of $x$?

A wire, when bent in the form of a square encloses an area of 196cm² . If the same wire is bent in form of a circle, find the area?