Explanation

- The symbol ⇌ shows that the reaction can proceed in both forward and reverse directions.

- Example: N₂ + 3H₂ ⇌ 2NH₃

- Such reactions do not go to completion and can reach equilibrium.

Explanation

- Rate of reaction refers to how fast or slow a reaction takes place.

- It is usually measured as the change in concentration of reactants or products per unit time.

Explanation

- EMF (Electromotive Force) 

-It is the maximum potential difference provided by a source like a battery or cell when no current is flowing.

- Measured in volts (V).

- It is often referred to as the “voltage” of the cell when no load is connected.

Explanation

- Organic chemistry is the branch of chemistry that deals with carbon compounds, especially hydrocarbons (compounds of carbon and hydrogen).

- Examples: Methane, Ethane, Propane.

Explanation

- Absolute zero is 0 Kelvin or -273.15°C.

- At this temperature, the kinetic energy of particles becomes zero, meaning all molecular motion stops.

- It is the theoretical lowest temperature possible in nature.

Explanation

Formula: √(l² + w² + h²)  

= √(16² + 15² + 12²)  

= √(256 + 225 + 144)  

= √625 = 25 

Explanation

January: 55% of 300 = 0.55 × 300 = 165 women  

February: 30% of 440 = 0.30 × 440 = 132 women  

Change = 165 - 132 = 33 decrease  

Percent change = (33 / 165) × 100 = 20% decrease

Explanation

x = y - 2 = (y + 5) / 2  

First, solve:  

y - 2 = (y + 5)/2  

Multiply both sides by 2:  

2y - 4 = y + 5  

2y - y = 5 + 4  

y = 9  

Now, x = y - 2 = 9 - 2 = 7 

Explanation

The statement is:

"Social security law is an evolving law that tries as far as possible to reflect reality, to adjust to changes in and the needs of society."

Key ideas:

The law is evolving, not fixed.

It adapts to social changes and needs.

B) Social security law gradually adapts itself to societal demands. → This matches perfectly: evolving + adjusting to needs.

Explanation

ANALYTICAL REASONING  

Questions 1–4

A workshop that restores used pieces of furniture operates according to the following schedule:

A piece of furniture is examined three calendar days after it is received in the workshop. (Thus, if it is received on the first day of the month, it is examined on the fourth.) On the next Monday following the examination, the piece of furniture is delivered to the restoration room.

Restoration work may be finished one, two, or three calendar days after a piece of furniture is delivered to the restoration room. On the next Wednesday following the completion of the restoration work, a piece of furniture is varnished. Two calendar days later, the varnish is dry, and a piece of furniture may be shipped. All restored pieces of furniture are shipped at the close of business on the 15th or the 30th day of the month.

This year, the first day of the month of January is a Friday.

1. If the workshop receives a steady supply of used pieces of furniture, on how many days during January will piece of furniture varnishing take place?  

A) Two  

B) Three  

C) Four  

D) Five  

E) Six

Varnish only happens on Wednesdays.

January Wednesdays = 6, 13, 20, 27 → that’s 4.

And because steady supply ensures that there’s always some piece ready, varnishing happens every Wednesday.

*

2. If a used piece of furniture is received at the workshop on Tuesday, January 5th, its restoration work will be completed no later than:  

A) Monday the 11th  

B) Wednesday the 13th  

C) Thursday the 14th  

D) Friday the 15th  

E) Wednesday the 20th

Receive = Jan 5 (Tue).

Exam = Jan 8 (Fri).

Next Monday = Jan 11 → delivery.

Restoration completes 1–3 days later → at the latest = Jan 14 (Thu).

*

3. To be certain that a restored piece of furniture will be shipped from the workshop on January 30th, what is the latest date by which it may be received at the workshop?  

A) Thursday the 14th  

B) Friday the 15th  

C) Saturday the 16th  

D) Monday the 18th  

E) Tuesday the 19th

Work backwards:

To be shipped Jan 30, varnish must be dry by Jan 30.

Dry = varnish + 2 days. So latest varnish = Jan 28.

But varnish must be a Wednesday, so the latest is Jan 27.

For varnish on Jan 27, completion must be by Jan 26.

Completion = delivery + ≤3 days → latest delivery = Jan 23. But deliveries only occur Mondays → must be Jan 18 (Monday).

Delivery = next Monday after exam. For delivery Jan 18, exam must fall Jan 12–17.

Exam = receive + 3. So receive must be no later than Jan 14 (exam on 17 → delivery 18).

***

4. The longest delay in shipping a restored piece of furniture will involve a piece of furniture whose cover varnish dries on:  

A) January 1st  

B) January 8th  

C) January 15th  

D) January 22nd  

E) January 29th

We want the case where varnish dries just after a shipping date, so the item must wait the longest before the next shipping date.

If dry Jan 1 → next ship Jan 15 → 14-day wait.

If dry Jan 8 → next ship Jan 15 → 7-day wait.

If dry Jan 15 → can ship immediately that same day → 0-day wait.

If dry Jan 22 → next ship Jan 30 → 8-day wait.

If dry Jan 29 → next ship Jan 30 → 1-day wait.

The longest wait = drying on Jan 1 → wait until Jan 15 (14 days).