[Suryansh]

Ans 2 : The acronym VIBGYOR stands for the sequence of colors in a rainbow: Violet, Indigo, Blue, Green, Yellow, Orange, and Red. These colors represent the visible spectrum of light when sunlight is refracted and dispersed through water droplets in the atmosphere, creating a rainbow. Each letter in VIBGYOR corresponds to a specific color that is visible in a rainbow.

[Suryansh]

Ans1: Photosynthesis is the process by which plants use sunlight to make food. They take in sunlight, water, and carbon dioxide, and produce glucose (sugar) and oxygen. Let’s break it down into simple steps:

Sunlight: Plants have a special green pigment called chlorophyll in their leaves. When sunlight shines on the leaves, chlorophyll captures the energy from the sunlight.

Water: Plants absorb water from the ground through their roots. This water travels up to the leaves through tubes in the plant called xylem.

Carbon Dioxide: Plants take in carbon dioxide from the air through tiny pores on their leaves called stomata.

Making Food: Inside the plant’s cells, the captured sunlight energy, water, and carbon dioxide react together in a part of the cell called the chloroplast. This reaction produces glucose, which is a type of sugar that plants use as food.

Releasing Oxygen: As a byproduct of photosynthesis, plants release oxygen back into the air through the stomata. This oxygen is what we breathe and is vital for animals and other living organisms.

Overall, photosynthesis is a process where plants use sunlight, water, and carbon dioxide to make glucose (food) and release oxygen. It’s like a plant’s way of eating and breathing at the same time.

If you'd like a more visual explanation, you can watch this video: [YouTube Link: https://youtu.be/xEF8shaU_34]

[Suryansh]

To simplify the expression 3(4x + 2) – 2(2x – 5) and find the value of x, we follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Let’s break down the expression step by step:

Step 1: Distribute (or multiply) the numbers outside the parentheses with the terms inside.

3(4x + 2) – 2(2x – 5)

= 12x + 6 – 4x + 10 [Applying distributive property]

= 12x – 4x + 6 + 10 [Rearranging terms]

Step 2: Combine like terms (terms with the same variable and exponent).

= (12x – 4x) + (6 + 10)

= 8x + 16

Now, we have simplified the expression to 8x + 16.

To find the value of x, we need additional information or an equation. If there is no equation provided or any other context, we cannot determine a specific value for x. In this case, 8x + 16 represents the simplified form of the given expression, but the value of x remains unknown.

Therefore, without further information or an equation, we cannot determine the specific value of x.

It’s important to note that if there were additional equations or constraints provided in the problem, we could use them to solve for x and find its value. However, as the question stands, we can only simplify the expression to 8x + 16 without determining a specific value for x.

[Suryansh]

The volume of a cylindrical tank can be calculated by using the formula V = πr²h, where V represents the volume, π is a constant approximately equal to 3.14159, r is the radius of the base, and h is the height of the cylinder.

In this case, we are given the diameter of the tank, which is 12 meters. To find the radius, we divide the diameter by 2:

Radius (r) = Diameter / 2 = 12 meters / 2 = 6 meters.

The height of the tank is given as 15 meters.

Now, we can substitute the values into the volume formula:

V = π × r² × h = 3.14159 × (6 meters)² × 15 meters.

Calculating this expression, we have:

V = 3.14159 × 36 square meters × 15 meters.

V = 3.14159 × 540 cubic meters.

V ≈ 1696.75304 cubic meters.

Therefore, the volume of the cylindrical tank, with a diameter of 12 meters and a height of 15 meters, is approximately 1696.75304 cubic meters.

It’s important to note that the answer is rounded to the appropriate decimal places. The volume represents the amount of space the tank can hold, measured in cubic units.

[Suryansh]

The Partition of Bengal took place on October 16, 1905, during the British colonial rule in India. It was carried out by Lord Curzon, who was the Viceroy of India at that time. The partition divided the Bengal Presidency into two separate entities: Bengal and Eastern Bengal and Assam. The primary motive behind the partition was to weaken the growing nationalist movement in Bengal.

However, due to widespread protests and opposition from the Indian National Congress and other nationalist organizations, the partition of Bengal was eventually annulled. The decision to reunite Bengal was announced on December 12, 1911, and took effect on April 1, 1912. Therefore, the partition of Bengal officially ended in 1912.

[Suryansh]

If the sale price of an item is $75 after a 20% discount, we want to find the original price.

Let’s assume the original price is ‘x’ dollars.

The discount is 20%, which means we take away 20% of the original price to get the sale price. To calculate the discount amount, we multiply the original price by 20% (which is 0.20).

Discount amount = x * 0.20

To find the sale price, we subtract the discount amount from the original price:

Sale price = x – (x * 0.20)

According to the given information, the sale price is $75.

So, we can set up an equation:

$75 = x – (x * 0.20)

Now, let’s simplify the equation:

$75 = x – 0.20x

We can combine like terms:

$75 = 0.80x

To find the value of ‘x’, we divide both sides of the equation by 0.80:

$75 / 0.80 = x

Calculating this, we get:

$93.75 = x

Therefore, the original price of the item was $93.75.

[Suryansh]

simplifying both sides of the equation by combining like terms.

2x + 7 = 5x + 4

isolate the terms with x on one side, we can subtract 2x from both sides of the equation to eliminate the 2x term from the left side.

2x – 2x + 7 = 5x – 2x + 4

7 = 3x + 4

Next, we can further simplify the equation by subtracting 4 from both sides to isolate the term with x.

7 – 4 = 3x + 4 – 4

3 = 3x

Finally, to solve for x, we divide both sides of the equation by 3 to isolate x.

3/3 = 3x/3

1 = x

Therefore, the solution to the equation 2x + 7 = 5x + 4 is x = 1.

[Suryansh]

Let’s assume the cost of one pen is represented by ‘P’ rupees and the cost of one pencil is represented by ‘C’ rupees. According to the given information:

Ann bought 2 pens, so the total cost of the pens would be 2P rupees.

Ann bought 5 pencils, so the total cost of the pencils would be 5C rupees.

The total cost of the purchase was 80 rupees.

From the given information, we can form the equation:

2P + 5C = 80

We also know that the cost of 2 pens is 30 rupees:

2P = 30

To find the cost of one pen and one pencil, we need to solve this system of equations. We can start by solving the second equation for P:

2P = 30

P = 30/2

P = 15

Now, we can substitute this value of P into the first equation:

2P + 5C = 80

2(15) + 5C = 80

30 + 5C = 80

5C = 80 – 30

5C = 50

C = 50/5

C = 10

Therefore, one pen costs 15 rupees and one pencil costs 10 rupees.

[Suryansh]

To find the average speed of the bike for the whole journey, we can consider the total distance covered and the total time taken.

Let’s assume the total distance covered by the bike is ‘D’. Since the bike travels one-third of the distance at each speed, we can divide the total distance into three equal parts, with each part being (D/3).

Now, let’s calculate the time taken for each one-third distance:

For the first one-third distance: Time = Distance / Speed = (D/3) / 10 = D/30 hours

For the second one-third distance: Time = Distance / Speed = (D/3) / 20 = D/60 hours

For the last one-third distance: Time = Distance / Speed = (D/3) / 60 = D/180 hours

To find the total time taken for the entire journey, we add up the times for each one-third distance:

Total Time = (D/30) + (D/60) + (D/180)

To calculate the average speed, we divide the total distance by the total time:

Average Speed = Total Distance / Total Time = D / [(D/30) + (D/60) + (D/180)]

To simplify the expression, we can find the least common denominator of the fractions in the denominator, which is 180:

Average Speed = D / [(6D + 3D + D) / 180] = D / (10D / 180)

Dividing the numerator and denominator by D:

Average Speed = 180 / 10 = 18 km/hr

Therefore, the average speed of the bike for the whole journey is 18 km/hr.

[Suryansh]

To find out how much the man gains or loses on the whole transaction, we need to calculate the individual gains and losses on each chair and then combine them.

Let’s assume the selling price of the first chair, on which the man gains 20%, is ‘x’ rupees. Therefore, the selling price of the second chair, on which the man loses 12%, is (500 – x) rupees, as the total selling price of both chairs is ₹ 500.

To calculate the gain on the first chair:

Gain = 20% of the selling price

= (20/100) * x

= 0.2x

To calculate the loss on the second chair:

Loss = 12% of the selling price

= (12/100) * (500 – x)

= 0.12 * (500 – x)

= 60 – 0.12x

Now, let’s calculate the overall gain or loss by subtracting the loss from the gain:

Overall gain/loss = Gain – Loss

= 0.2x – (60 – 0.12x)

= 0.2x – 60 + 0.12x

= 0.32x – 60

To determine whether there is a gain or a loss on the whole transaction, we need to evaluate the expression 0.32x – 60.

If the value of (0.32x – 60) is positive, it indicates a gain. If it is negative, it indicates a loss.

Since we don’t have the specific value of ‘x’ or the selling price of the first chair, we cannot determine the exact gain or loss on the whole transaction.

[Suryansh]

To find the difference between 7 hours 25 minutes and 3 hours 45 minutes, we can subtract the hours and minutes separately.

Hours difference: 7 hours – 3 hours = 4 hours

Minutes difference: 25 minutes – 45 minutes = -20 minutes

Since the minutes difference is negative, we need to borrow 1 hour from the hours difference.

4 hours – 1 hour = 3 hours

Now, we add the remaining minutes to the borrowed hour:

-20 minutes + 60 minutes = 40 minutes

So, the correct difference between 7 hours 25 minutes and 3 hours 45 minutes is 3 hours and 40 minutes.

[Suryansh]

Sound is made when something vibrates or shakes. Think of it like wiggling a string on a guitar or clapping your hands. These vibrations create sound waves, which are like invisible ripples that move through the air, water, or even solids.

When something vibrates, like a guitar string or your vocal cords when you talk, it makes the air particles around it move back and forth. These moving particles create sound waves that travel through the air as if they were little squeezes and stretches.

When you hear a sound, like someone speaking or music playing, what you’re actually hearing are those sound waves reaching your ears. They make your eardrums vibrate, and your brain turns those vibrations into the sounds you recognize.

But sound waves don’t just travel through the air. They can also move through other things, like solids and liquids. In solids, like a table or a wall, the vibrations can pass from one particle to another, making the sound travel through the solid material.

In liquids, like water, sound waves move by making the water particles vibrate. So if you splash your hand in water, the vibrations travel through the water, and you can even hear sounds underwater, although they may be different or quieter compared to in the air.

So, to sum it up: sound is created when something vibrates, and those vibrations make air, water, or solids vibrate too. The vibrations turn into sound waves that travel through the air, water, or solid materials, and when they reach our ears, we hear them as sound.

[Suryansh]

adding the three expressions we get

ab-bc + bc -ca + ca – ab = 0

[Suryansh]

Genetic variation is like having different options in a population’s gene pool. Just like having a variety of clothes to wear, genetic variation provides a population with different traits and characteristics. This variety is important and beneficial for several reasons:

Surviving Changes: Imagine if everyone in a population looked and acted exactly the same. If the environment changed, like getting hotter or colder, they would all face the same challenges. But with genetic variation, some individuals may have traits that make them better suited to the new conditions. They can adapt and survive while others might struggle.

Fighting Diseases: Genetic variation also helps in fighting diseases. Just like how some people have natural resistance to certain illnesses, genetic variation means that some individuals in a population may have genes that make them naturally resistant to diseases. This gives the population a better chance of surviving and staying healthy.

Stronger Future Generations: Genetic variation improves the chances of having stronger and healthier future generations. When individuals with different traits reproduce, they pass on a mix of their genes to their offspring. This mix creates a diverse gene pool, making the population more resilient and better equipped to face challenges in the future.

Saving the Species: Genetic variation is crucial for the survival of a species. When a population has different traits, it has a better chance of surviving if something bad happens, like a natural disaster or a new predator. If everyone is the same, the whole population could be wiped out. But with genetic variation, there’s a higher chance that some individuals will have traits that can help the species survive.

Creating New Species: Over a very long time, genetic variation can lead to the creation of new species. This happens through a process called evolution. The variety of traits within a population allows for new combinations and adaptations over generations. Eventually, these changes can be so significant that a new species emerges.

So, genetic variation is like having different options in a gene pool. It helps populations survive changes, fight diseases, have stronger future generations, save the species, and even create new species over time. It’s like having a diverse toolbox of traits that helps organisms thrive in different situations.

[Suryansh]

great