Explanation

First, find the speed of the train past the telegraph post:

Speed = Distance / Time = (Length of train) / 8 seconds

Since the length of the train is not given, let's call it "x". Then, Speed = x / 8

Now, find the speed of the train past the bridge:

Speed = Distance / Time = (Length of train + Length of bridge) / 20 seconds

= (x + 264) / 20

Since the speed of the train is the same in both cases, set up an equation:

x / 8 = (x + 264) / 20

Cross-multiply and solve for x:

20x = 8x + 2112

12x = 2112

x = 176

So, the length of the train is 176 meters.

Now, find the speed of the train:

Speed = x / 8 = 176 / 8 = 22 meters/second

Convert the speed to km/hr:

Speed = 22 m/s x (3600 s/h) / (1000 m/km) = 79.2 km/hr

The correct answer is:

79.2 km/hr

Explanation

One megawatt (MW) is equal to 1,000 kilowatts (kW).

This is because the prefix "mega-" means "one million" or "10^6".

"Watt" is the unit of power.

1 megawatt (MW) = 1,000 kilowatts (kW)

1 kilowatt (kW) = 1,000 watts (W)

Explanation

The man spends 35% of his income on food, leaving:

100% - 35% = 65%

He spends 25% of his income on children's education, leaving:

65% - 25% = 40%

He spends 80% of the remaining (40%) on house rent:

40% x 0.80 = 32%

So, he spends a total of:

35% + 25% + 32% = 92%

This means he is left with:

100% - 92% = 8%

Therefore, the correct answer is: 8%

Explanation

When 20% of itself is added to the number, it gives 102, so we can set up the equation:

x + (20% of x) = 102

To find 20% of x, multiply x by 0.20:

x + 0.20x = 102

Combine like terms:

1.20x = 102

Divide both sides by 1.20:

x = 102 / 1.20

x = 85

So, the correct answer is: 85

Explanation

The pattern of the sequence is obtained by multiplying the previous term by 3, then 2, then 3, and so on.

2 × 3 = 6

6 × 3 = 18

18 × 6 = 108

108 × 18 = 1944

Explanation

Laila is four times as old as Mansoor, and Mansoor is 2 years old, so:

Laila's age = 4 × 2 = 8 years old

We want to find out how old Mansoor will be when he is half the age of Laila. Let's assume Laila's age at that time is x. Then, Mansoor's age will be x/2.

Since Mansoor is currently 2 years old, we need to find the difference in their ages, which is:

x - 2 = Laila's age - Mansoor's age = 8 - 2 = 6 years

So, Mansoor will be half the age of Laila when:

x/2 = 6

x = 12

Now, we need to find Mansoor's age at that time:

Mansoor's age = x/2 = 12/2 = 6 years old

Therefore, the answer is:

6

Explanation

The average weight of A, B, and C is 45 kg, so the total weight is 45 x 3 = 135 kg.

The average weight of A and B is 40 kg, so their total weight is 40 x 2 = 80 kg.

The average weight of B and C is 43 kg, so their total weight is 43 x 2 = 86 kg.

Now, let's find the weight of B:

Subtract the weight of A from the total weight of A and B: 80 kg - A = B

Subtract the weight of C from the total weight of B and C: 86 kg - C = B

Since the total weight of A, B, and C is 135 kg, we can set up the equation:

A + B + C = 135

Substituting the expressions for B from steps 1 and 2, we get:

(80 kg - B) + B + (86 kg - B) = 135

Simplifying the equation, we get:

166 kg - B = 135

Subtracting 166 kg from both sides:

-31 kg = -B

Dividing both sides by -1:

B = 31 kg

Therefore, the weight of B is 31 kg.

Explanation

The mode is the digit that appears most frequently in the data set.

Let's count the occurrences of each digit:

• 0: 3 times
• 1: 2 times
• 2: 1 time
• 3: 2 times
• 5: 1 time
• 6: 2 times
• 7: 1 time
• 9: 1 time

The digit 0 appears most frequently, 3 times. Therefore, the mode is 0.

Explanation

You are now facing in the South direction

Explanation

To find the new time required to complete the task, divide the original time by the number of workers:

25 hours ÷ 5 workers = 5 hours

So, if 4 people with the same efficiency join you, it will take 5 hours to clean the garden.