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Total number of observations are n, where n is an even number. Then the median is calculated by the average of \(\frac{n}{2}^{th} and (\frac{n}{2}+1)^{th}\) observations. 

Hence, median = \(\frac{\frac{n}{2}^{th} observation + (\frac{n}{2}+1)^{th} observation}{2}\)

Given:

15! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10 × 11 × 12 × 13 × 14 × 15

Concept used:

To find the number of zeroes at the end of the product, we need to calculate the number of 2’s and number 5’s or number of pairs of 2 and 5.

2 × 5 = 10 ⇒ Number of zeroes = 1 (number of pair = 1)

The number of pairs of 2 and 5 is same as the number of zeroes at the end of the product

Calculation:

Given expression = 15! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10 × 11 × 12 × 13 × 14 × 15

In any factorial value, the number of 5’s is always lesser than the number of 2’s

In the above expression, number of 5’s = 3 (5, 10 = 2 × 5, 15 = 3 × 5)

Number of 2’s = 11

But total number of pairs of 2’s and 5’s = 3

We know that the circumference of a circle of radius r is given by 2\(\pi\). 

Given that the circumference of a circle is 66 m. 

Therefore, 2\(\pi\) = 66 m

⇒ r = \(\frac{66}{2\pi}\) = \(\frac{66}{2 \times \frac{22}{7}}\) = \(\frac{3 \times 7}{2}\) = \(\frac{21}{2}\) = 10.5 m.

Hence, the radius of the circle is r = 10.5 m 

Now, the area of the circle is \(\pi\)r² = \(\frac{22}{7}\) × 10.5 × 10.5 = 231 × 1.5 = 346.5 m² .

Hence, the area of circle is 346.5 m² .

The correct answer is Bharatendu.

• Bharatendu Harishchandra is known as the father of Hindi literature as well as Hindi theatre.
• Satya Harish Chandra was written by Harischandra Bhartendu and was published in 1985.
• Harishchandra is a legendary Indian king of the Ikshvaku dynasty, who appears in several texts such as Aitareya Brahmana, Mahabharata, the Markandeya Purana, and the Devi-Bhagavata Purana.

The correct answer is B, A, C, D.

• Battle of Bhatner, during the Timurid invasion of India in 1398, Timur took 10,000 soldiers from his main army of 92,000 which was advancing towards Delhi under his grandson and captured the Bhatner fort, sacked the city, and destroyed its fortifications.
• The Battle of Khanwa was fought near the village of Khanwa, in Bharatpur District of Rajasthan, on March 16, 1527. It was fought between the invading forces of the first Mughal Emperor Babur and the Rajput forces led by Rana Sanga of Mewar, after the Battle of Panipat.
• The Battle of Sammel, also known as the Battle of Giri-Sumel, was fought in 1544 near the villages Giri and Sumel of the Jaitaran sub-division in the Pali district of Rajasthan between the Afghan Sur Dynasty under Sher Shah Suri and the Rathore army led by the commanders Jaita and Kumpa of Rao Maldeo Rathore.
• The Battle of Haldighati was a battle fought on 18 June 1576 between cavalry and archers supporting the Rana of Mewar, Maharana Pratap, and the Mughal emperor Akbar's forces, led by Man Singh I of Amber.

The correct answer is 1 and 2 only.

Minerals and their distribution areas in Rajasthan:

• Best deposits of Tungsten are found in Degana, Nagaur in the country.
• Rajasthan is the sole producer of wollastonite in the country, which is widely used in steel casting, ceramics and paint industry.

D. All of the above

A. two accounting periods 

Correct option is E) Most teenagers have some feelings concerning the values their parents teach them, but most are negative due to the restrictions they encounter.

The correct answer is Deenbandhu Mitra.

• The 'Neel Darpan' published in 1860 portrays the plight of indigo cultivators was created by Deenbandhu Mitra.
• The first play ever commercially staged was Neel Darpan in 1872.
• It was translated by Micheal Madhusudan Dutta and it was published by Reverend James Long.

The correct answer is The cursor (selection box) will move to the lower cell.

•  When you enter a value in an Excel cell and press the ENTER key the cursor (selection box) will move to the lower cell.

• The cursor (selection box) will move to the upper cell when we press the up arrow.
• The cursor (selection box) will move to the lower cell when we press the down arrow or Enter.
• The cursor (selection box) will move to the right cell when we press the right arrow.
• The cursor (selection box) will move to the left cell when we press the left arrow.

The correct answer is (i) False, (ii) False

• In Landscape orientation, the width of a page is larger than its height.
• In Portrait orientation, the height of a page is larger than its width.
• Hence, both the above statements are False.

The correct answer is an option (2).

A watermark in a Word document is present behind the body of the document.

WaterMark:

• A watermark is an image or text that appears behind the main text of the document.
• It is usually a lighter shade than the text, so you can read the document easily. Text Watermarks are often used to categorize or to show the purpose of a document with words such as DRAFT.

Insert a watermark:

• On the Design tab, select Watermark.
• Choose a pre-configured watermark, like DRAFT, CONFIDENTIAL, or DO NOT COPY.
• For placing a logo or image, Select Watermark > Custom Watermark > Picture watermark > Select Picture.
• On the same menu you can create a custom text watermark.

import java.util.Scanner;

public class KboatFascinatingNumber
{
    public static void main(String args[]) {
        Scanner in = new Scanner(System.in);
        System.out.print("Enter the number to check: ");
        int num = in.nextInt();
        
        if (num < 100) {
            System.out.println(num + " is not a Fascinating Number");
            return;
        }
        
        int num2 = num * 2;
        int num3 = num * 3;
        
        boolean isFascinating = true;
        String str = "" + num + num2 + num3;
        for (char i = '1'; i <= '9'; i++) {
            int idx1 = str.indexOf(i);
            int idx2 = str.lastIndexOf(i);
            if (idx1 == -1 || idx1 != idx2) {
                isFascinating = false;
                break;
            }
        }
        
        if (isFascinating)
            System.out.println(num + " is a Fascinating Number");
        else
            System.out.println(num + " is not a Fascinating Number");
    }
}

The correct answer is an option (2).

• VLOOKUP Searches for a value in the column

• VLOOKUP stands for ‘Vertical Lookup’.
• It is a function that makes Excel search for a certain value in a column (the so-called ‘table array’), in order to return a value from a different column in the same row.
• A VLOOKUP function exists of 4 components:
  • The value you want to look up;
  • The range in which you want to find the value and the return value;
  • The number of the column within your defined range, that contains the return value;
  • 0 or FALSE for an exact match with the value you are looking for; 1 or TRUE for an approximate match.
  • Syntax: VLOOKUP([value], [range], [column number], [false or true])

b. Double Click

A Word processor using mouse is Double Click

Sustainable development can happen only when each one of us works towards it. One has to become a responsible environment citizen who can protect the environment through our efforts, who can help others to get quality education, by reducing inequalities in the society etc.

b) Name – value

In JavaScript, objects are just collections of Name – value pairs.

Answer: Simvastatin

The easy and best technique for sharpening uses Photoshop to create a high pass layer and then layer masks to control where and how much sharpening is applied.

A high pass layer works in the same way an unsharp mask works on film: the high pass layer creates slightly blurry halos around edges in the original image, thus increasing the contrast at edges. The difference between high pass sharpening and most other methods of sharpening is that high pass sharpening does not actually adjust or change any pixels in your original image. Also, because high pass exists as a separate layer, you can adjust the layer’s Opacity and Blending Modes to control the strength of sharpening over the entire image. You can then use masks to control where sharpening is applied within the image and to make localized changes in the strength of sharpening.

Another advantage to sharpening with a high pass layer is you can save the layer with the Photoshop file and go back later and change the settings and areas where sharpening has been applied. This is a huge advantage when working with an image that you might finish for web viewing and printing, or printing on different papers.

To apply a texture to an object, you map the texture to an attribute on the object's material. The attribute to which the texture is connected determines how the texture is used and how it affects the final output.

To map a texture to a material using the Attribute Editor:

1. Select your material in the Hypershade. In the material Attribute Editor, click themap button beside the attribute that you want to connect a texture to. The Create Render Node window appears. 

2. Select a texture from the Create Render Node window.

If you are selecting a 2D texture, right-click the texture and select a mapping method (Create texture (create normally), Create as projection, Create as stencil). If you do not select a mapping method, the default method (Create texture) is used.

If you are selecting the File texture, map to the image file by clicking the browse icon beside the Image Name attribute.

The starting texture: Choose your texture, and crop it so that it fits the Photoshop window

Offset the texture: Drag the texture layer to the bottom left, so the corner of the texture is now more or less in the middle. You don’t have to do this precisely.

Repeat the texture: Hold Option/Alt as you drag the texture up with the Move Tool to make a copy,

Repeat again: drag the layer to the right, again holding Option/Alt and Shift to make a copy. Merge down once again

Patch the joins: The easiest way to begin is to use the Spot Healing Tool

Answer: Furosemide

Answer: Nicorandil

Na⁺-K⁺-2Cl^– cotransporter

Correct answer is a. Tools Panel 

Correct answer is b) IMLHOMRGAT 

Congestive heart failure

Correct answer is b) Neural Networks 

Correct answer is b) i) and ii) only 

Correct answer is a) CMVETEEHAIN 

Correct answer is b) IAOHSP 

d) Problem Scoping -> Data Acquisition -> Data Exploration -> Modelling -> Evaluation

The anti-convulsant drug most commonly prescribed for trigeminal neuralgia is carbamazepine (Tegretol), which can provide at least partial pain relief for up to 80 to 90 percent of patients. Other anti-convulsants prescribed frequently for trigeminal neuralgia include: Phenytoin (Dilantin) Gabapentin (Neurontin)

Any goods deposited in a warehouse may be stored upto a period of one year.

Correct answer is a) Classification 

a) Both A and R are correct and R is the correct explanation of A 

The retailing mix variables are : 

1. Product 

2. Price 

3. Presentation 

4. Promotion 

5. Person selling 

6. Customer service

The characteristics are: 

1. Good recruiter 

2. Good seller 

3. Goal setting 

4. Coaching 

5. Good communicator

The disadvantages are: 

1. Credit card and security worries. 

2. Lack of personal and social interaction. 

3. Can’t see and feel the merchandise. 

4. Premium charged for delivery 

5. Difficulties with returning goods for refund.

The ORDER BY keyword is used to sort the result-set in ascending or descending order. The ORDER BY keyword sorts the records in ascending order by default. To sort the records in descending order, use the DESC keyword.

The back office server is essentially the main computer where pertinent company information, such as prices and sales reports, are programed and stored.

Purchase and sale of goods between consumers and retailers using the internet is also referred to as the B2C Market.

A retail POS (Point-of-Sale) is the first and last interaction that customers have in a store, and it is the center of all phone calls and computer work.

OUTPUT: (ii) 

Maximum value of Lower: 3 

Maximum value of Upper: 4

CORRECTED CODE: 

Value = 30 

for VAL in range(0,Value) :            # Error 1 

if val%4==0:                     # Error 2 

    print (VAL*4) 

elif val%5==0:                 # Error 3 

    print (VAL+3) 

else:                             # Error 4 

    print(VAL+10)

i– c 

ii – c 

iii – c 

iv– d 

v – d