Explanation

Step 1: Calculate the division

0.3/0.1 = 3

Step 2: Multiply the result by 0.3

3 × 0.3 = 0.9

Explanation

120 × 0.3 = 36

Explanation

Car A: 6 km right, then 2 km left = 4 km right of the start

Car B: 6 km left, then 2 km right = 4 km left of the start

Distance between them = 4 km + 4 km = 8 km

Explanation

Step 1: Substitute the values of a and b into the inequality

2 - a + 2 < b - 1

2 - 5 + 2 < 7 - 1

Step 2: Simplify both sides of the inequality

-1 < 6

Step 3: Determine the truth value of the inequality

Since -1 is less than 6, the inequality is true.

Explanation

Longitudinal Wave (Primary Nature):

Sound propagates as compressions and rarefactions (particles vibrate parallel to wave direction).

Example: Sound waves in air.

Mechanical Wave (Medium Dependency):

Requires a medium (solid, liquid, gas) to travel—cannot propagate in a vacuum.

Transverse Wave (In Specific Cases):

In solids, sound can also exhibit transverse wave components (particles vibrate perpendicular to the wave direction).

Explanation

Louis Pasteur (1822–1895) was a pioneering microbiologist and chemist whose work bridged both fields:

As a Chemist:

• Discovered molecular chirality (optical isomers).
• Studied fermentation, proving it was caused by microorganisms.

As a Microbiologist:

• Developed pasteurization (heat treatment to kill microbes in food).
• Created vaccines for rabies and anthrax.
• Disproved spontaneous generation (germ theory of disease).

Explanation

Step 1: Identify the pattern

Let's analyze the given numbers:

101 = 20: 10 * 2 = 20 (first two digits multiplied)

354 = 75: 3 * 25 = 75 (first digit * last two digits)

333 = 63: 3 * 21 = 63 (first digit * last two digits)

Step 2: Apply the pattern

If the pattern is the first digit multiplied by the last two digits:

828: 8 * 20.25 doesn't fit directly, but 8 * 20 = 160 + 2 = 162 (8 * 20 + 2 = 162), or simply 8 * (20 + 0.25) = 162.

However, a simpler pattern could be:

101: 10 * 2 = 20

354: 3 * 25 = 753

33: 3 * 21 = 638

28: 8 * 20.25 = 162

Explanation

The chemical formula CH₃COOH represents acetic acid, a weak organic acid commonly found in vinegar.

Key Information:

Common Name: Acetic acid (systematic name: ethanoic acid).

Properties:

• Weak acid (partially dissociates in water).
• Pungent smell, sour taste (vinegar contains ~4–8% acetic acid).

Explanation

Step 1: Determine the price per kilogram

Given the price of 1.5 kg apples is Rs. 60, let's find the price per kilogram.

Price per kg = Total price / Total weight in kg = 60 / 1.5

Step 2: Calculate the price per kilogram

Price per kg = 60 / 1.5 = 40 Rs/kg

Step 3: Calculate the price for 200 grams

First, convert 200 grams to kilograms: 200 grams = 0.2 kg

Price for 200 grams = Price per kg * Weight in kg = 40 * 0.2

Step 4: Calculate the price

Price for 200 grams = 40 * 0.2 = 8 Rs

Explanation

The atomic weight of Mercury (Hg) is 200.59 unified atomic mass units (u), as listed on the periodic table.

Key Information:

• Symbol: Hg (from Latin Hydrargyrum)
• Atomic Number: 80
• Standard Atomic Weight: 200.592 u (often rounded to 200.59 u).