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Which value can be called as the mode of the given data?

Find the CI on ₹ 20,000 for 3 years at $10\%$ per annum compounded annually.

Find x if 9 * 3^x = (27)^2x-3

The value of "$3x$ square minus $x$ square" is

Karan and Kundan are two brothers. Presently Karan is four times the age of Kundan. After 6 years Karan's age will be twice as that of Kundan. What is the present age of Kundan?

Factorize: $x^3-(x-z{)}^3$

Perimeter of the following triangle is:

In which of the following quadrilaterals, the diagonals bisect each other at right angles?

HCF of 3 and 6 is 'a', HCF of 7 and 17 is 'b' and HCF of 12 and 16 is 'c'. Arrange a, b and c in ascending order.

If the interior angle of a regular polygon is double the exterior angle then the polygon is ___

$\text{ABCD is a parallelogram. What kind of quadrilateral is it if :}\left(i\right)AC=BD\text{and AC is perpendicular to BD ?}\left(ii\right)\text{AC is perpendicular to BD but is not equal to it ?}\left(iii\right)AC=BD\text{but AC is not perpendicular to BD ?}$

The figure, given below, shows a pentagon ABCDE with sides AB and ED parallel to each other, and $\angle B:\angle C|\angle D=5:6:7$.

(i) Using formula, find the sum of interior angles of the pentagon.

(ii) Write the value of $\angle A+\angle E$

(iii) Find angles B, C and D.

Factorise : $(5a-3b{)}^2-16b^2$

Draw an angle ABC = ${60}^{\circ }$. Draw the bisector of it. Also draw a line parallel to BC a distance of 2.5 cm from it.

Let this parallel line meet AB at point P and angle bisector at point P. Measure the length of BP and PQ. Is BP = PQ?

If $a^2+\frac{1}{a^2}=11;finda-\frac{1}{a}$

Find the compound interest on Rs. 15625 for 9 months at $16\%$ per annum, compounded quarterly.

Using the formula for squaring a binominal evaluate the following:
(i) $(54{)}^2$
(ii) $(82{)}^2$
(iii) $(103{)}^2$
(iv) $(704{)}^2$

Question 56

If x varies inversely as y and when x = 6, y = 8, then x = 8, the value of y is 10.

If a box of sweets is divided among $24$ children, they will get $5$ sweets each. How many would each get, if the number of the children is reduced by $4$?
Fill up the blank with the right answer ___ .

Which of the following should be the FOURTH sentence after rearrangement?

A wall $15m$ long ,$30cm$ wide, and $4m$ high is made of bricks, each measuring $22cm\times 12cm\times 7.5cm.$ If $\frac{1}{12}$ of the total volume of the wall consists of mortar, how many bricks are there in the wall?

In which quadrant would the coordinates of any point have their abscissa and ordinates with the same signs?

Question 9

A regular hexagon is inscribed in a circle of radius r. The perimeter of the regular hexagon is
(a) 3 r (b) 6 r (c) 9 r (d) 12 r

In an organization, the manager's salary is 5 times that of an employee. The manager gets ₹ 60000 a month.How much does an employee get?

news 79 53 glory for 46 29 task

Which of the following will be the step IV?

Question 23

Fill in the blanks to make each statement true:

A term of an equation can be transposed to the other side by changing its ...........

As a boy toys worth rupees 75000 for his toy shop. He sent some money on transportation, rent for shop, and the salary for the salesman. If he made a profit of 10% on his real expenses( cost+ overhead expenses), was rupees 9000, calculate his overhead expenses.

The value of a refrigerator which was purchased 2 years ago, depreciates at $12\%$ per annum. If its present value is Rs. 9680, for how much was it purchased?

A pentagon has _______ vertices.

The volume of a cuboid is 400 m³. Find it's length, if its breadth and height are 5 m and 10 m.

Construct a trapezium ABCD, in which $AD\parallel BC$ and AD = 3.0 cm, AB = 2.5 cm, BC = 5.0 cm and CD = 2.8 cm. [4 MARKS]

On dividing $\left(24x{y}^2\right)\left(z^2\right)$by $6y{z}^2$, we get:

Sum of money amounts to Rs. 453690 in 2 years at $6.5\%$ per annum compounded annually. Find the sum.

Estimate 1.9

Estimate 0.9458

Estimate 0.5

Estimate 0.93

Question 87(i)

Classify the following statements under appropriate headings.
Getting the sum angles of a triangle as ${180}^{\circ }$.

$\begin{array}{ccc}\text{Certain to happen}& \text{Impossible to happen}& \text{May or may not happen}\\ & & \\ & & \end{array}$

Area of a circular field is 3850 $c{m}^2$. What is the perimeter of that field? ( Take $\pi =\frac{22}{7}$)

Krusha will need Rs 1236 eight months from now. The Karnataka Bank has a recurring deposit scheme that gives 8% p.a. interest being calculated at the end of every month. How much should she invest per month?

If the height of a cylinder becomes $\frac{1}{4}$ of the original height and the radius is doubled, then which of the following will be true ?

(a) Total surface area of the cylinder will be doubled
(b) Total surface area of the cylinder will remain unchanged
(c) Total surface area of the cylinder will be halved
(d) None of the above