Explanation

The pattern is Red, Blue, Green, White.

This pattern repeats every 4 balls.

To find the 38th ball, divide 38 by 4.

38 divided by 4 = 9 with remainder 2.

The remainder tells the position in the pattern.

Remainder 1 = Red

Remainder 2 = Blue

Remainder 3 = Green

Remainder 0 = White

Since the remainder is 2, the 38th ball will be Blue.

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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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