What will be the probability of 3 number divided by 2 and 3 from first 100 natural numbers?

Question

Three distinct numbers are selected from first 100 natural numbers. The probability that all the three numbers are divisible by 2 and 3 is

  1. 4/25
  2. 4/35
  3. 4/55
  4. 4/1155

The correct answer is: 4/1155

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Maths-

Suppose values taken by a variable x are such that , where  denotes the value of x in the ith case for i = 1, 2, n. Then

Suppose values taken by a variable x are such that , where  denotes the value of x in the ith case for i = 1, 2, n. Then

Chemistry-

Hydrogenation of alkenes and alkynes takes place in presence of certain catalysts. In Sabatier Senderen's reaction, the. addition ·of hydrogen takes·· place in presence of Raney nickel· catalyst. Platinum and palladium can also be used as catalyst in these reactions. These are heterogeneous catalyst and used in. finely. divided state. Experimentally, it is observed that less. crowded alkenes adsorb H2 with faster rate. Controlled hydrogeneration of alkyne in presence of Lindlar's catalyst yields cis product i.e., 'cis' alkene. Thus, in presence of Lindlar's catalyst 'syn' addition takes place. The relative rate of hydrogenation follows the order:

Non-terminal alkynes an reduce4 in presence of Na or Li metal dissolved in liquid ammonia. In this reaction, anti-addition of hydrogen results into the trans-product. .
The product of the following reaction is:
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/649779/1/1178377/Picture21.png" alt="" width="285" height="89"

Hydrogenation of alkenes and alkynes takes place in presence of certain catalysts. In Sabatier Senderen's reaction, the. addition ·of hydrogen takes·· place in presence of Raney nickel· catalyst. Platinum and palladium can also be used as catalyst in these reactions. These are heterogeneous catalyst and used in. finely. divided state. Experimentally, it is observed that less. crowded alkenes adsorb H2 with faster rate. Controlled hydrogeneration of alkyne in presence of Lindlar's catalyst yields cis product i.e., 'cis' alkene. Thus, in presence of Lindlar's catalyst 'syn' addition takes place. The relative rate of hydrogenation follows the order:

Non-terminal alkynes an reduce4 in presence of Na or Li metal dissolved in liquid ammonia. In this reaction, anti-addition of hydrogen results into the trans-product. .
The product of the following reaction is:
<img src="https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/649779/1/1178377/Picture21.png" alt="" width="285" height="89"

Chemistry-

Hydrogenation of alkenes and alkynes takes place in presence of certain catalysts. In Sabatier Senderen's reaction, the. addition ·of hydrogen takes·· place in presence of Raney nickel· catalyst. Platinum and palladium can also be used as catalyst in these reactions. These are heterogeneous catalyst and used in. finely. divided state. Experimentally, it is observed that less. crowded alkenes adsorb H2 with faster rate. Controlled hydrogeneration of alkyne in presence of Lindlar's catalyst yields cis product i.e., 'cis' alkene. Thus, in presence of Lindlar's catalyst 'syn' addition takes place. The relative rate of hydrogenation follows the order:

Non-terminal alkynes an reduce4 in presence of Na or Li metal dissolved in liquid ammonia. In this reaction, anti-addition of hydrogen results into the trans-product.
In which of the following cases, the reaction is most. exothermic?

Hydrogenation of alkenes and alkynes takes place in presence of certain catalysts. In Sabatier Senderen's reaction, the. addition ·of hydrogen takes·· place in presence of Raney nickel· catalyst. Platinum and palladium can also be used as catalyst in these reactions. These are heterogeneous catalyst and used in. finely. divided state. Experimentally, it is observed that less. crowded alkenes adsorb H2 with faster rate. Controlled hydrogeneration of alkyne in presence of Lindlar's catalyst yields cis product i.e., 'cis' alkene. Thus, in presence of Lindlar's catalyst 'syn' addition takes place. The relative rate of hydrogenation follows the order:

Non-terminal alkynes an reduce4 in presence of Na or Li metal dissolved in liquid ammonia. In this reaction, anti-addition of hydrogen results into the trans-product.
In which of the following cases, the reaction is most. exothermic?

Chemistry-

Compounds [X] and [Y] are respectively:

Compounds [X] and [Y] are respectively:

Chemistry-

Unknown Compound (A) on oxidation with hot basic. KMnO4 'gives only one compound whose structure is given below,

Compound (A) will be:

Unknown Compound (A) on oxidation with hot basic. KMnO4 'gives only one compound whose structure is given below,

Compound (A) will be:

Chemistry-

Order of reactivity of given four alkenes for hydrogenation , reaction will be:
I)
II)
III)

IV)

Order of reactivity of given four alkenes for hydrogenation , reaction will be:
I)
II)
III)

IV)

Maths-

A pie chart is to be drawn for representing the following data The value of the central angle for food and clothing would be

Required angle for food and clothing
.

A pie chart is to be drawn for representing the following data The value of the central angle for food and clothing would be

Maths-General

Required angle for food and clothing
.

Maths-

The following data gives the distribution of height of students The median of the distribution is

Arranging the data in ascending order of magnitude, we obtain


Here, total number of items is 41 i.e., an odd number.
Hence, the median is th i.e., 21st item.
From cumulative frequency table, we find that median
i.e., 21st item is 155,
(All items from 16 to 22nd are equal, each 155).

The following data gives the distribution of height of students The median of the distribution is

Maths-General

Arranging the data in ascending order of magnitude, we obtain


Here, total number of items is 41 i.e., an odd number.
Hence, the median is th i.e., 21st item.
From cumulative frequency table, we find that median
i.e., 21st item is 155,
(All items from 16 to 22nd are equal, each 155).

Maths-

The quartile deviation for the following data is

observation observation=3
Similarly, observation
observation = 5
Now Q.D. .

The quartile deviation for the following data is

Maths-General

observation observation=3
Similarly, observation
observation = 5
Now Q.D. .

Maths-

Section-wise expenditure of a State Govt. is shown in the given figure. The expenditure incurred on transport is

Required expenditure .

Section-wise expenditure of a State Govt. is shown in the given figure. The expenditure incurred on transport is

Maths-General

Required expenditure .

Maths-

A market with 3900 operating firms has the following distribution for firms arranged according to various income groups of workers If a histogram for the above distribution is constructed the highest bar in the histogram would correspond to the class

Maximum number of firms is 1200 in the group of 1200-1800. Therefore, highest bar would correspond to 1200-1800 class.

A market with 3900 operating firms has the following distribution for firms arranged according to various income groups of workers If a histogram for the above distribution is constructed the highest bar in the histogram would correspond to the class

Maths-General

Maximum number of firms is 1200 in the group of 1200-1800. Therefore, highest bar would correspond to 1200-1800 class.

Maths-

The mortality in a town during 4 quarters of a year due to various causes is given below: Based on this data, the percentage increase in mortality in the third quarter is

Required percentage
.

The mortality in a town during 4 quarters of a year due to various causes is given below: Based on this data, the percentage increase in mortality in the third quarter is

Maths-General

Required percentage
.

Maths-

The following data was collected from the newspaper: (percentage distribution)It is an example of

Original collected data is called the data in primary form.

The following data was collected from the newspaper: (percentage distribution)It is an example of

Maths-General

Original collected data is called the data in primary form.