Correct Answer: B. 4

Correct Answer: (c) Rupee

Correct Answer: A. Step-up transformer

Explanation

The device associated with alternating currents (AC) only from the provided options is the step-up transformer. Step-up transformers are specifically designed to work with alternating currents and are used to increase voltage levels in AC systems.

Explanation

(a) \((\sqrt{3} - 5\sqrt{2})(\sqrt{3} + \sqrt{2}) = \sqrt{3 \times 3} + \sqrt{3 \times 2} - 5\sqrt{2 \times 3} - 5\sqrt{2 \times 2}\)

= \(3 + \sqrt{6} - 5\sqrt{6} - 5(2)\)

= \(-7 - 4\sqrt{6}\)

\(\therefore\) a = -7 and b = -4.

(b) \(\frac{2^{1 - y} \times 2^{y - 1}}{2^{y + 2}} = 8^{2 - 3y}\)

\(\frac{2^{1 - y + y - 1}}{2^{y + 2}} = (2^{3})^{2 - 3y}\)

\(2^{0 - (y + 2)} = 2^{6 - 9y} \implies 2^{- y - 2} = 2^{6 - 9y}\)

\(- y - 2 = 6 - 9y \implies - y + 9y = 6 + 2\)

\(8y = 8 \implies y = 1\).

Correct Answer: A. supply of fertilizers to farmers at reduced price

Correct Answer: D. tax and public expenditure

Explanation

Central banks have four main monetary policy tools: the reserve requirement, open market operations, the discount rate, and interest on reserves.

Correct Answer: D. 5 - x

Explanation

\(\frac{2}{x - 3} - \frac{3}{x - 2}\) = \(\frac{p}{(x - 3)(x - 2)}\)

\(\frac{2(x - 2) - 3(x - 3)}{(x - 3)(x - 2)}\) = \(\frac{p}{(x - 3)(x - 2)}\)

= \(\frac{2x - 4 - 3x + 9}{(x - 3)(x - 2)}\) = \(\frac{p}{(x - 3)(x - 2)}\)

\(\frac{-x + 5}{(x - 3)(x - 2)} = \frac{p}{(x - 3)(x - 2)}\)

p(x - 3)(x - 2) = -x + 5(x - 3)(x - 2)

p = -x + 5 or p = 5 - x

Explanation

The rule of law refers to the constitutional provision which emphasises the supremacy of the law, equality before the law and the existence of fundamental human rights.

(b) The advantages of the rule of law :

(i)All citizens are given equal treatment irrespective of position or wealth.

(ii) Every citizen within the state has a degree of freedom in all respects.

(iii) All citizens are entitled to respect and dignity of human person.

(iv) Rule of law could lead to the existence of a stable society. Limitations of the rule of law:

(i) Immunities - Diplomatic, presidential, judicial and parliamentary immunities affect the operation of the rule of law.

(ii) The establishment of administrative tribunals negate the operation of the rule of law.

(iii) Emergency situations could curtail the rights of individuals and the operation of the rule of law, e.g. during wars.

(iv)The existence of delegated legislations which might encroach on the rights of individuals negates the operation of the rule of law.

(v) Illiteracy, poverty and ignorance of the citizens about the existence of the rule of law can limit its operation.

(vi) Attitude of government also affects the operation of the rule of law - e.g. refusal by the government to respect judicial decisions.

Correct Answer: A. overgrazing and overcultivation

Correct Answer: A. presentation in the interval of a dramatic performance