log_2(32) = log_2(2^5) = 5.

The Earth's crust is solid and is the thinnest layer, unlike the outer core which is in a liquid state.

The Earth's inner core is in a solid state, composed mainly of iron and nickel, despite the high temperature.

The outer core is in a liquid state, not solid, and is responsible for generating the Earth's magnetic field.

While paying taxes is a legal obligation, it is not listed as a Fundamental Duty under Article 51A.

The smooth endoplasmic reticulum is involved in lipid synthesis, detoxification, and calcium storage, but not protein synthesis.

Paying taxes is a legal obligation but not listed as a Fundamental Duty under Article 51A.

Voting in elections is a civic duty but not listed as a Fundamental Duty under Article 51A of the Constitution.

Paying taxes is a legal obligation but is not listed as a Fundamental Duty under Article 51A of the Constitution.

Voting in elections is a right and not a fundamental duty as per Article 51A of the Indian Constitution.

The Right to Property was removed from the list of Fundamental Rights and is now a legal right under Article 300A.

The Right to Property was removed from the list of Fundamental Rights and is now a legal right under Article 300A.

The Right to Work is not explicitly mentioned as a Fundamental Right in the Constitution.

Water is a small molecule and not classified as a macromolecule, while proteins, carbohydrates, and lipids are.

Iron is considered a micronutrient, while nitrogen, phosphorus, and potassium are macronutrients essential for plant growth.

The Right to Property is not a Directive Principle; it was removed from the Fundamental Rights and is now a legal right.

√3 is an irrational number, while 1/2, 0, and 3 are rational.

Time zones are primarily based on longitude and the Earth's rotation, not latitude differences.

T-wave is not a recognized type of seismic wave; the main types are P-waves, S-waves, and surface waves (L-waves).

Delhi is the capital of India.

The conjugate of a complex number z = a + bi is given by z* = a - bi. Here, the conjugate is 2 + 3i.

The conjugate of z = 5 - 2i is z* = 5 + 2i.

The conjugate of a complex number z = a + bi is given by z* = a - bi. Here, the conjugate of 5 - 3i is 5 + 3i.

(x - 3)² = x² - 2(3)x + 3² = x² - 6x + 9.

(x - y)³ = x³ - 3x²y + 3xy² - y³ by the binomial theorem.

a² - b² = (a + b)(a - b) by the difference of squares identity.

(a - b)(a + b) = a² - b² by the difference of squares formula.

(a - b)² = a² - 2ab + b² by the expansion of the square of a binomial.

(x + y + z)³ = x³ + y³ + z³ + 3xyz.

(x + y)³ = x³ + y³ + 3xy(x + y) by the binomial expansion.