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Logic followed here is comparison of sentences to find common words and their corresponding codes.

Given:

Sentence 1: 'take my share' is coded as 'tn dp bk'

Sentence 2: 'share or perish' is coded as 'ps tn hv'

Therefore, the code for 'share' must be 'tn'.

Hence, the correct answer is "Option 1".

Given:

Let us first decode the given symbols and then draw a family tree.

On checking: W ¥ X ~ Y le Z £ T

1. W ¥ X - 'W ¥ X' means 'W is the daughter of X'.

2. X ~ Y - 'X ~ Y' means 'X is the father of Y'.

3. Y le Z - 'Y le Z' means 'Y is the sister of Z'.

4. Z £ T - 'Z £ T' means 'Z is the son of T'.

Therefore, W is the sister of Z, who is the son of T → W is the Daughter of T.

Hence, the correct answer is 'Option 3'.

Given Word:

ALTERING

Original Positions:

Arrange the letters in alphabetical order:

Comparison:

Only one letter remains in its original position.

Hence, the correct answer is "Option 3".

Given Series:

(Left) B E X Q K P X I O R G J M Y H M S M O T T (Right)

Required pattern:

Consonant → Vowel → Consonant

Checking the series:

(Left) B E X Q K P X I O R G J M Y H M S M M O T T (Right)

Vowels satisfying the condition:

→ E in (B E X)

→ O in (M O T)

Therefore, there are 2 such vowels.

Hence, the correct answer is "Option 3".

The logic followed here is:

Rank of Mr. Kell from the top = 37^th

Rank of Mr. Kell from the bottom = 155^th

To find the total number of students in the class, the following formula is used:

Total number of students = (Position from the top + Position from the bottom) − 1

= (37 + 155) − 1

= 192 − 1

= 191

So, there are 191 students in the class.

Hence, the correct answer is 'Option 1'.

The correct answer is Involuntary.

Key Points

• The analogy compares muscle types based on their functional control mechanism. Skeletal muscles are attached to the skeleton and are controlled by the somatic nervous system, meaning they are under conscious or voluntary control.
• Cardiac muscle, specifically located in the myocardium (the middle layer of the heart wall), functions automatically to pump blood throughout the body without conscious intervention.
• The contraction of cardiac tissue is regulated by the autonomic nervous system and specialized pacemaker cells (like the SA node), which classifies its movement as involuntary.
• While both skeletal and cardiac muscles exhibit striations due to the organized arrangement of sarcomeres, the defining functional difference in this analogy is the nature of their neural regulation.

 Additional Information

• Muscle Tissue Characteristics:
• Cardiac Muscle:
• Structurally, these cells are branched and typically contain only one or two central nuclei.
• They possess unique intercalated discs containing gap junctions and desmosomes, which allow for rapid electrical communication and synchronized contraction (functional syncytium).
• Skeletal Muscle:
• These are long, cylindrical, and unbranched fibers.
• They are multinucleate, with nuclei located at the periphery of the cell to accommodate the dense packing of myofibrils.
• Smooth Muscle:
• Found in the walls of hollow organs like the stomach and intestines; these are non-striated, spindle-shaped, and also involuntary.

The correct answer is 14 m/s.

Key Points

• The problem provides the maximum height (h) as 1000 cm. To maintain consistency with the SI unit of acceleration due to gravity (g), which is 9.8 m/s², the height must be converted to meters. Thus, 1000 cm ÷ 100 = 10 meters.
• In vertical motion, when an object reaches its maximum height, its final velocity (v) becomes 0 m/s instantaneously before it begins its descent.
• To find the initial velocity (u), we apply the third equation of motion under gravity: v² = u² − 2gh. The negative sign is used because the object is moving upward against the force of gravity.
• Substituting the known values into the equation: 0² = u² − (2 × 9.8 × 10). This simplifies to 0 = u² − 196.
• Rearranging the equation gives u² = 196. Taking the square root of both sides, we get u = √196, which equals 14 m/s.

 Additional Information

• Equations of Motion under Gravity:
• v = u ± gt: Relates velocity and time (t).
• h = ut ± (1/2)gt²: Relates displacement and time.
• v² = u² ± 2gh: Relates velocity and displacement without requiring time.
• The sign is positive (+) when the object falls downward and negative (−) when projected upward.
• Acceleration due to Gravity (g):
• Standard value is 9.80665 m/s² at sea level.
• It is a vector quantity always directed toward the center of the Earth.
• The value of g decreases with altitude and increases slightly from the equator to the poles due to the Earth's ellipsoidal shape.

Lymph is a fluid connective tissue that is similar to blood plasma but lacks red blood cells, platelets, and large plasma proteins. While lymph contains white blood cells (specifically lymphocytes), it does not contain platelets, which are essential for blood clotting and are found in blood.

The correct answer is It is equal to twice the atomic number for all elements..

Key Points

• Isotopes are defined as atoms of the same element that possess the same atomic number but different mass numbers. This variation occurs because isotopes have different quantities of neutrons in their nuclei. Hence, statement 1 is correct.
• The mass number (denoted by the symbol A) represents the total count of protons and neutrons located within the nucleus of an atom. These particles are collectively referred to as nucleons. Hence, statement 2 is correct.
• The relationship where the mass number is exactly twice the atomic number (A = 2Z) applies to some light stable nuclides like Helium-4 or Carbon-12, but it is not a universal rule. For example, in Hydrogen-1 (Protium), the mass number is 1 while the atomic number is 1, and in Sodium, the atomic number is 11 while the mass number is 23. Hence, statement 3 is incorrect.
• The mass number is a count of discrete subatomic particles (protons and neutrons); therefore, it must always be a whole number. This is distinct from relative atomic mass, which can be fractional. Hence, statement 4 is correct.

 Additional Information

• Mass Number vs. Atomic Mass:
• Mass Number is the integer sum of nucleons.
• Atomic Mass is the weighted average of the masses of all naturally occurring isotopes of an element, often resulting in non-integers, such as Chlorine having an atomic mass of approximately 35.5.
• Atomic Notation: In standard chemical notation, an element is represented as \( _{Z}^{A}X \), where A is the mass number and Z is the atomic number.
• Neutron Calculation: The number of neutrons (n) in an atom is determined by the formula \( n = A − Z \).

The correct answer is Nitrogen.

Key Points

• Fertilisers are chemical substances supplied to the soil or plant tissues to provide one or more nutrients essential to plant growth. The most common commercial fertilisers are centered around the NPK triad, which stands for Nitrogen (N), Phosphorus (P), and Potassium (K).
• Nitrogen is the most critical element for plant growth as it is a major component of chlorophyll, the green pigment in plants responsible for photosynthesis, converting sunlight into chemical energy.
• Scientifically, nitrogen is a core part of amino acids, which form proteins, and nucleic acids like DNA and RNA, which allow plants to grow and reproduce.
• The Haber-Bosch process is the primary industrial method used to produce ammonia, the precursor to most nitrogenous fertilisers like Urea and Ammonium Nitrate.
• While Phosphorus is vital for energy transfer (ATP) and root development, and Potassium regulates osmosis and enzyme activation, Nitrogen promotes rapid vegetative growth and lush green foliage.
• Statistical data indicates that Urea is the most widely used nitrogenous fertiliser globally, typically containing about 46% nitrogen by weight.

 Additional Information

• Secondary Macronutrients:
• Calcium: Essential for cell wall structure and transport of other nutrients; a deficiency often leads to blossom end rot in fruits.
• Magnesium: The central atom of the chlorophyll molecule; without it, plants cannot capture sun energy for photosynthesis.
• Micronutrients:
• Zinc: Needed in trace amounts for hormone production (specifically auxins) and internode elongation.
• NPK Ratio: This is a labeling convention found on fertiliser bags (e.g., 10-20-10), representing the percentage of available Nitrogen, Phosphate (P₂O₅), and Potash (K₂O).