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Question 3(e)

Is the following statement True or False:

45 km : 60 km = 12 hours : 15 hours

Question 3

The product of three consecutive positive integers is divisible by 6: Is this statement true or false? Justify your answer.

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सिर
पर नंगी तलवार
लटकना,
आड़े
हाथों लेना,
अंधे
के हाथ बटेर
लगना,
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के चने चबाना,
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पसीना आना,
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नत्थू खैरा।

The pie charts show some information about the numbers of medals won by Germany and by the Russian Federation in the 2010 Winter Olympics.

While Germany won 7 bronze medals, how many gold medals did they win?

Four alternative options are given for each of the following statements.

Select the correct option.

The simple interest on Rs 5,000 at 2% per month for 3 months is:

A. Rs 100

B. Rs 200

C. Rs 300

D. Rs 400

$\text{A vendor purchased bananas at Rs. 16 per dozen and sold them at 10 for Rs.18 . Find his gain or loss per cent.}$

What are the common factors of ​$3x^{3}y,5x{y}^{2}and15xy$?

Match the following identities:

Four alternative options are given for each of the following statements.

Select the correct option.

One sells his bike through a broker by paying Rs 200 brokerage. The rate of brokerage is 2%. The selling price of the bike is:

A. Rs 12,000

B. Rs 10,000

C. Rs 14,000

D. Rs 12,500

A company selected $4000$ households at random and surveyed them to find out a relationship between income level and the number of television sets in a home. The information, so obtained is listed in the following table.

Find the probability:
(i) Of a household earning $Rs.10000-Rs.14999$ per year and having exactly one television.

(ii) Of a household earning $Rs.25000$ and more per year owning $2$ televisions.

(iii) Of a household not having any television.

If $PB=PY$ for the circle with center at $P,$ find the possible pairs of $(x,y).$

A quadrilateral has three acute angles each measuring 70°. What is the measure of the fourth angle?

A cube of side $5cm$ is cut into as many $1cm$ cubes as possible. What is the ratio of the surface areas of the original cube to that of the sum of the surface areas of the smaller cubes?

Calculate the compound interest on a sum of ₹ 5000 in 1.5 years when interest is compounded half-yearly at the rate $20\%$ of per annum.

___

1. 30

Test the divisibility of the following numbers by 11.

(a) 5335

(b) 9020814

Choose the correct pair(s) of sum of interior angles of a regular polygon and the measure of each interior angle, respectively.

The point of intersection of medians is called ___.

In $△ABCand△DEF$, $AB=FD$ and $\angle A=\angle D$. The two triangles will be congruent by SAS axiom if

If $\frac{4}{5}÷\frac{-2}{3}$ follows closure property of division then the resultant number ____ is a Rational number.

The length of the diagonals of a rhombus are in the ratio 3:4. If its area is $216c{m}^2$, then its side is ___ cm.

Take a 3 digit number 'abc'. If we add abc, cab, and bca together then the resulting sum is divisible by:

The area of a sector with radius 14 cm is 154 $c{m}^2$. The central angle of the sector (in degrees) is

Construct a triangle ABC in which BC = 5.2 cm, ∠B = 35° and ∠C = 80°.

In an isosceles triangle AB = AC and BA is produced to D, such that AB = AD. What is the value of $\angle BCD$?

Find
the height of the cylinder whose volume is 1.54 m³
and diameter of the base is 140 cm?

The area of the hexagon, if AB = BC = CD = DE = EF = FA = 13cm and AO = PD = 5cm, is ___ $c{m}^2$

$(-\frac{7}{5}x{y}^{2}z)\times \left(\frac{13}{3}{x}^{2}y{z}^2\right)$

The length of the diagonals of a rhombus is in the ratio 4 : 3. If its area is $384c{m}^2$, find its side.

What is the measure of any exterior angle of a regular nonagon?