Let the current age of Rahul and Haroon be 5x and 7x respectively

Four years later their ages become 5x + 4 and 7x + 4 respectively.

According to the question,

5x + 4 +7x + 4 = 56

or 12x + 8 = 56

Transposing 8 to the RHS we get,

12x = 48

Dividing both sides by 12 gives,

x = 48/12 = 4

Thus current age of Rahul = 5×4 = 20

Haroon = 7×4 = 28

Which of the following account will be credited on giving cash donations?

Purchases A/c

Donation A/c

Bank A/c

Cash A/c

A n s w e r : Donation account

Answer: 

• a) The Weimar Republic crushed the rebellion

• b) The Spartacists founded the Communist Party of Germany

Explanation:

The Spartacist League was a revolutionary socialist group which was formed in Germany during the First World War. Gradually, it became a movement as many workers joined this movement demanding the formation of the Soviet-styled government.

As Germany was undergoing financial crisis because of their participation in the First World War, the League was formed by the people who opposed the War. They wanted to establish a Soviet-styled government in Germany. After their movement was suppressed by the Weimer republic, the Spartacists later founded the Communist Party of Germany.

To,

The Principal

Unity College,

Lucknow.

3rd September, 2020

Subject- Regarding leave for two days.

Respected Sir,

I'm Reena from class 12th beg to inform you that I would be unable to attend the classes for two days i.e. 4th and 5th of September, 2020 because my father is not well and there is nobody to take care of him other than me.

I request you to kindly grant me leave for two days. I shall be highly obliged.

Thanking You.

Yours truly,

Reena Verma.

C program to find roots of a quadratic equation: Coefficients are assumed to be integers, but roots may or may not be real.

For a quadratic equation ax²+ bx + c = 0 (a≠0), discriminant (b²-4ac) decides the nature of roots. If it's less than zero, the roots are imaginary, or if it's greater than zero, roots are real. If it's zero, the roots are equal.

For a quadratic equation sum of its roots = -b/a and product of its roots = c/a. Let's write the program now.

Roots of a Quadratic equation in C

#include <stdio.h>
#include <math.h>

int main()
{
  int a, b, c, d;
  double root1, root2;

  printf("Enter a, b and c where a*x*x + b*x + c = 0\n");
  scanf("%d%d%d", &a, &b, &c);

  d = b*b - 4*a*c;

  if (d < 0) { // complex roots, i is for iota (√-1, square root of -1)
    printf("First root = %.2lf + i%.2lf\n", -b/(double)(2*a), sqrt(-d)/(2*a));
    printf("Second root = %.2lf - i%.2lf\n", -b/(double)(2*a), sqrt(-d)/(2*a));
  }
  else { // real roots
    root1 = (-b + sqrt(d))/(2*a);
    root2 = (-b - sqrt(d))/(2*a);

    printf("First root = %.2lf\n", root1);
    printf("Second root = %.2lf\n", root2);
  }

  return 0;
}

Output of program: 

.List three questions that the little boy asks.
Ans. Three questions that the little boy asks are:
(i) Why do wood swim and marble sink?
(ii)What makes the cloud?
(iii)Why do we eat and drink?

The Great Depression was the greatest and longest economic recession in modern world history. It began with the U.S. stock market crash of 1929 and did not end until 1946 after World War II. Economists and historians often cite the Great Depression as the most catastrophic economic event of the 20th century.

In order to calculate the gravitational force between two objects with masses of m1 and m2 , the equation is: where G is the gravitational constant (6.67E-11 m3 s-2 kg-1), r is the distance between the two objects, and F is the magnitude of the force between the objects.

1. Rods and Cones are the photoreceptors found in the eye, rods have rod-like structure and provide twilight vision, while cones are of the cone shape, fewer in number and provides the vision in the day or bright light.
2. Rods are found around the boundary of the retina, whereas cones are there in the centre of the retina.
3. Out of the 125 million photoreceptors, rods are about 120 million in the human eye and cones are 5 million photoreceptors.
4. The outer segment is cylindrical of rods which contain rhodopsin pigment, made up of Vitamin A, while the outer segment is conical of cones which contain iodopsin pigment.
5. Cones provide colour vision, which is of three types: red, blue and gree, whereas rods cells do not give colour vision, they do not have any differentiation.
6. Lack of the rhodopsin in the rods may cause night blindness, while lack of the iodopsin in the cones may cause colour blindness.
7. Rods provide the vision in the dull light (darkness or night), whereas cones are known to give the vision during the day or bright light.

1. Why did Tilly’s family come to Thailand?
2. What were the warning signs that both Tilly and her mother saw?
3. Do you think Tilly’s mother was alarmed by them?
4. Where had Tilly seen the sea behaving in the same strange fashion?
5. Where did the Smith family and the others on the beach go to escape; from the tsunami?
6. How do you think her geography teacher felt when he heard about what Tilly had done in Phuket?

Answer: 

1. Tilly’s family had come to Thailand to celebrate Christmas.
2. Both saw the sea rise and it started to foam and form whirlpools.
3. No, Tilly’s mother was not alarmed by them.
4. Tilly had seen the strange sea behaviour in a video.
5. They went to the third floor of the hotel and were saved.
6. She felt very pleased and satisfied.

प्रतिवेदन लिखने के लिए निम्नलिखित बातों पर विशेष ध्यान देना चाहिए-
(1) प्रतिवेदन संक्षिप्त हो।
(2) घटना या किसी कार्रवाई की मुख्य बातें प्रतिवेदन में अवश्य लिखी जानी चाहिए।
(3) इसकी भाषा सरल और शैली सुस्पष्ट हो।
(4) विवरण क्रमिक रूप से हो।
(5) पुनरुक्ति दोष नहीं हो यानी एक ही बात को बार-बार भिन्न-भिन्न रूपों में नहीं लिखना चाहिए।
(6) इसके लिए एक सटीक शीर्षक जरूर हो।

प्रतिवेदन के तीन प्रकार हैं-
(1) व्यक्तिगत प्रतिवेदन
(2) संगठनात्मक प्रतिवेदन
(3) विवरणात्मक प्रतिवेदन

(1) व्यक्तिगत प्रतिवेदन- इस प्रकार के प्रतिवेदन में व्यक्ति अपने जीवन के किसी संबंध में अथवा विद्यार्थी-जीवन पर प्रतिवेदन लिख सकता है। इसमें व्यक्तिगत बातों का उल्लेख अधिक रहता है। यह प्रतिवेदन कभी-कभी डायरी का भी रूप ले लेता है। यह प्रतिवेदन का आदर्श रूप नहीं है।

एक उदाहरण इस प्रकार है-
7-10-2000
सुबह पाँच बजे उठा। क्रिया-कर्म कर 6 बजे पढ़ने बैठा। अचानक सिर में दर्द हुआ। बिस्तर पर लेट गया। आँखें बंद कर लीं। नींद आ गयी। एक घंटे बाद जगा, पर दर्द बना रहा। डॉक्टर के पास गया। दवा लेकर घर लौटा। दवा खाकर फिर लेट गया। दर्द दूर हो गया। दस बजे भोजन किया और स्कूल के लिए चल पड़ा। 12 बजे दोपहर में सिरदर्द शुरू हुआ, छुट्टी लेकर घर लौट आया। सारा दिन इसी प्रकार कटा।

(2) संगठनात्मक प्रतिवेदन- इस प्रकार के प्रतिवेदन में किसी संस्था, सभा, बैठक इत्यादि का विवरण दिया जाता है। यहाँ प्रतिवेदक अपने बारे में कुछ न कहकर सारी बातें संगठन या संस्था के संबंध में लिखता है।

यह प्रतिवेदन मासिक, त्रैमासिक, अर्द्धवार्षिक और वार्षिक भी हो सकता है। एक स्कूल में वार्षिकोत्सव मनाया गया। इस अवसर पर प्रधानाध्यापक ने निम्नलिखित प्रतिवेदन पढ़कर सुनाया-

स्कूल का वार्षिकोत्सव : प्रतिवेदन

हमारा स्कूल सन् 1930 में स्थापित हुआ था। इस नगर में यह पिछले 62 वर्षो से शिक्षा का प्रचार करता रहा है। आरंभ में जहाँ 5 शिक्षक और 50 छात्र थे, वहाँ आज शिक्षकों की संख्या 30 और छात्रों की संख्या 700 तक पहुँच गयी है। यहाँ कला, वाणिज्य और विज्ञान की शिक्षा दी जाती है। शिक्षकों को समय पर वेतन मिलता है। ये सभी बड़ी निष्ठा से काम करते हैं स्कूल में सह-शिक्षा की भी व्यवस्था है। लड़कियों की संख्या 250 है। इस वर्ष से सिलाई और कताई-बुनाई की शिक्षा की भी व्यवस्था की गयी है। छात्र इसके महत्त्व से घरेलू उद्योग-धंधों में रुचि ले रहे हैं। इस वर्ष प्रवेशिका परीक्षा में तीस छात्र प्रथम श्रेणी में, बारह द्वितीय श्रेणी में और तीन तृतीय श्रेणी में उत्तीर्ण हुए। इस विवरण से स्पष्ट है कि यह स्कूल हर दिशा में विकास कर रहा है। शिक्षा-विभाग के निरीक्षक ने भी इसकी सराहना की है।

दिनांक 20. 12. 2005
विजयपाल सिंह
प्रधानाध्यापक
हरिदास हाई स्कूल

(3) विवरणात्मक प्रतिवेदन- किसी कार्य, योजना, घटना अथवा स्थिति का प्रतिवेदन 'विवरणात्मक प्रतिवेदन' कहलाता है।
जैसे- किसी शिविर के आयोजन का, किसी संस्था की वार्षिक उपलब्धियों का, किसी परिषद के कार्य-कलापों आदि का प्रतिवेदन।

इस प्रकार के प्रतिवेदन में किसी मेले, यात्रा, पिकनिक, सभा, रैली इत्यादि का विवरण तैयार किया जाता है। प्रतिवेदक को यहाँ बड़ी ईमानदारी से विषय का यथार्थ विवरण देना पड़ता है। इस प्रकार के प्रतिवेदन का एक उदाहरण इस प्रकार है-

मेला : प्रतिवेदन

भारत का सबसे बड़ा मेला सोनपुर में हर साल लगता है ; इसे 'हरिहरक्षेत्र का मेला' कहते हैं। यह कार्तिक की पूर्णिमा के दो-तीन दिन पहले से पंद्रह-बीस दिनों तक गंडक और गंगा के संगम पर लगता है। पूर्णिमा के दिन यात्रियों की भारी भीड़ हरिहरनाथ के दर्शन के लिए होती है। इस वर्ष भी मंदिर के सामने दर्शनार्थियों की एक लंबी कतार थी। भीड़ इतनी अधिक थी कि एक लड़का कुचलकर मर गया। फिर भी, भीड़ अपनी जगह से हटी नहीं। हरिहरनाथ के दर्शन कर लोग सजी-सजायी दूकानों की ओर बढ़े। उनकी सजावट मनमोहक थी। देशभर के व्यापारी आये थे। आसपास के मकानों का किराया अधिक था। अलग-अलग स्थानों पर दूकानें लगायी गयी थीं। पशु-पक्षियों का जमाव एक स्थान पर था। हाथी, घोड़े, गाय, बैल इत्यादि की खरीदारी हुई। दूसरे स्थान पर साधु-संन्यासी अपनी-अपनी कुटी में धुनी रमाये थे। तीसरे स्थान पर सरकसवाले तरह-तरह के खेल-तमाशे दिखा रहे थे। रात में बिजली की रोशनी में सारा मेला जगमगा रहा था। सारा दृश्य मनमोहक था। पूर्णिमा के दूसरे दिन मैं घर लौट आया।

दिनांक 20-11-2000
सुरेश गौतम

Rewrite 9p²

9p² as (3p)²

Now,

(3p)²−16

Rewrite 16 as 4²

(3p)² − 4²

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=3p and b=4

(3p+4)(3p−4)

IUPAC name of CH3COOC2H5 is Ethyl acetate / Ethyl ethanoate

The following compound is ester R−COO−R′ and the naming of ester are done on the basis of alkanoate group (R−COO−) and alkyl (R′) combined to form ester.
The suffix for ester is "-oate". The full name of ester is like alkyl alkanoate. 
Thus the name of given compound is ethyl ethanoate.

Ruler bars are located on the top and left sides of the Stage and serve several purposes. They let you measure the width and height of Flash elements and they let you place guides on the screen to control placement of objects on the Stage. In all, Rulers serve a very important role. When you display rulers, you can use guides to help you correctly align objects with other objects. By using guides, you have access to precise alignment systems. To use the guides, the ruler bars must first be visible. When you no longer need the rulers, you can hide the rulers to free up more workspace.

Mukesh belongs to the family of bangle makers in Firozabad where each family is engaged in bangle making. They live in half built huts and stinky lanes. On asking, Mukesh says,, “I will be a motor mechanic. I will learn to drive a car”. Thus he wants to be his own master.

Mukesh belongs to the family of bangle makers in Firozabad where each family is engaged in bangle making. They live in half built huts and stinky lanes. On asking, Mukesh says,, “I will be a motor mechanic. I will learn to drive a car”. Thus he wants to be his own master.

In reality the Third Level is the creation of Charley's own mind, fantasy and whim. He is inhabiting in the modern world which is full of insecurity, fear, war, worries, stress and tension. He has to confront with them round the clock. The harsh realities of life are making our stay unpleasant and unbearable. There is a mental tension which is transforming our lives burdensome and heavy. Charley has an escapist mind. Even stamps collecting is a temporary refuge from reality. So he talks to his psychiatrist friend Sam about the third level at the Grand Central Station. He terms it as a “ waking-dream wish fulfilment.”

In this lesson even the writer Jack Finney interweaves Charley in the midst of fantasy and reality. The compulsions and realities of modern life make Charley escape into a world of fancy and romance. There is a refererence to his grand father's stamp collection of 1894 in the lesson. In those days there was peace as well as tranquility. So there was no need for escape. For Charley the Grand Central is an exit and he wanders down to the third level and finds himself into the world of 1894 which used to be a romantic living. So the Third Level is indirectly a mode of escape for Charley.

The LCM of any two consecutive numbers is their product

As they are consecutive number they don't have any common factor.

So, there LCM is equal to the product of the given numbers.

Ex :- 2 & 3 are consecutive numbers so they LCM is 2 × 3 = 6

It was a time when the elephant had no trunk. Golu was a baby elephant. He had only a bulgy nose. He ‘could only move it from side to side. But he couldn’t pick up things with it.

He was full of questions. He asked his aunt, the ostrich why she didn’t ever fly like other birds. He asked his tall uncle, the giraffe why his skin has spots. He asked the hippopotamus why his eyes were always red. Finally, he asked the monkey why melons tasted like melons.

One day Golu asked the mynah bird what the crocodiles always had for dinner. The bird directed him to the Limpopo river to find out. Taking a lot of sugarcanes, ba¬nanas and melons, he went to the great river. He met a python, and put his question and got no reply.

Golu moved on the river bank when he saw a log of wood. It was really the cunning crocodile. Golu put his question to him. He told that he would give the reply in his ear. It caught Golu by the nose, and told that today he would eat the elephant. It started dragging him hard into the stream.

Golu cried for help. The python came and coiled fast round Golu’s stomach. Both pulled very hard. At each pull Golu’s nose grew longer and longer. He was free at last.

In two days his nose grew cool but it did not shrink. Instead, it turned into a trunk. However, it proved to be very advantageous. Golu first hit a stinging fly dead with his trunk. Then he plucked the grass and put it into his mouth. The trunk enabled him to dig up some mud and throw it on his head. He thanked the python for its help.