Explanation

The statement "All officers are employees" directly proves that every officer is an employee.

The information "Some employees are graduates" does not prove that any officer is a graduate, nor does it mean all graduates are officers.

Last verified on 01-08-2026

Explanation

Facing centre → Left = clockwise, Right = anti-clockwise

Given:  

1. A opposite E  

2. C opposite F  

3. B is immediate left of A → order clockwise: A, B  

4. D is second to the right of F → from F, 2 seats anti-clockwise = D  

5. G is immediate left of F → order clockwise: G, F  

6. G is not immediate neighbour of H  

Arrange clockwise:  

Place A. Then B is to its left → A, B  

Place G, F together → G, F  

From (4), D is 2 right of F  

From (1) and (2), A opp E and C opp F  

The arrangement that fits all is clockwise:  

A - B - D - G - F - H - E - C

Check:  

A opp E ✓, C opp F ✓, B left of A ✓, G left of F ✓, D 2nd right of F ✓, G and H not neighbours ✓  

Now, immediate right of F = 1 seat anti-clockwise from F = H

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Explanation

The original group of workers completes the job in 6 days, so together they do 1/6 of the job each day.

They work together for 3 days, so they complete 3 × 1/6 = 1/2 of the job. That means 1/2 of the job is still left.

The remaining workers finish this 1/2 job in 4.5 days, so their rate is (1/2) ÷ 4.5 = 1/9 of the job per day.

Originally the group did 1/6 per day, now they do 1/9 per day.  

The difference in rate is 1/6 − 1/9 = 1/18 of the job per day. This is the work that was lost each day because some workers left.

The remaining work took 4.5 days, so the total work lost = 1/18 × 4.5 = 1/4 of the job.

To express this as "days’ work of the original workforce", divide the lost work by the original daily rate:  

(1/4) ÷ (1/6) = 1.5 days

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Explanation

• Damage to the plasma membrane immediately disrupts osmosis and selective transport.
• The plasma membrane controls what enters and leaves the cell.
• Loss of selective permeability causes uncontrolled movement of water and substances.
• This disturbs the cell's internal balance (homeostasis).

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Explanation

Total persons = 14  

Number of engineers = 4  

Number of non-engineers = 14 - 4 = 10  

We have to select a committee of 2 persons.

Total number of ways to select 2 persons out of 14 = 14C2  

14C2 = (14 x 13) / (2 x 1) = 91

Number of ways to select 2 engineers out of 4 = 4C2  

4C2 = (4 x 3) / (2 x 1) = 6

Probability = Favorable outcomes / Total outcomes  

Probability = 6 / 91

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Explanation

Total books if nothing was missing:

46 shelves × 28 books = 1288 books

Books missing:

17 shelves × 9 missing books each = 153 books

Books present now:

Total - Missing = 1288 - 153 = 1135 book

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Explanation

With 10 people, the middle positions are 5th and 6th.

Given:

1. B _ _ F 

2. DH together

3. E ≠ neighbor of B or F

4. J at 1 or 10

Let's check if we can fix position 5 or 6:

Possible B-F positions: (1,4), (2,5), (3,6), (4,7), (5,8), (6,9), (7,10)

Case 1: B=2, F=5 → then 5th = F  

Case 2: B=3, F=6 → then 6th = F  

Case 3: B=4, F=7 → then 5th and 6th could be DH or others  

Case 4: B=1, F=4 → then 5th,6th are not fixed

We can make multiple valid arrangements and the middle keeps changing.  

Example: J A B C D H G E F I → middle = D, H  

Example: A B C D E F G H I J → middle = E, F

So we cannot determine one exact person for the middle.

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Explanation

If two trains move on two straight lines with constant speeds, the distance between them changes over time unless the lines are parallel. 

The distance is 10 km at 12:00, 1:00, and 2:00. That is 3 different times. 

For the distance to stay exactly the same for 3 hours with different speeds of 100 km/h and 50 km/h, the trains must keep the same separation forever. 

This can only happen if the tracks are parallel and the trains move in the same direction. Then the faster train gains 50 km per hour but never gets closer because it started 10 km ahead.

If the tracks were non-parallel and intersected, the distance would have to change. It cannot be 10 km at 12, 1, and 2.

Therefore the statement "non-parallel" is false. The tracks must be parallel. 

The angle between parallel lines is 0°.

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Explanation

D's statement directly concerns whether B is lying.

If D tells the truth, B lies; if D lies, B tells the truth.

Therefore, B and D must have opposite identities.

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Explanation

• The chain ultimately loops back through the scholar's own family.
• The phrase "my father's only niece's male first cousin" resolves back to the scholar under normal bilateral family relationships.
• Therefore, the scholar and the male first cousin are the same person.

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