Explanation

One and only one line can pass through two points.

This is because two points uniquely define a line.

Explanation

= 3/100

= 0.03

Explanation

To evaluate √6048: 6048 = 78 × 78

Therefore, √6048 = 78

So, the correct answer is: 78

Explanation

Given:

3/4 of the police employees are not graduates.

This means:

1/4 of the police employees are graduates.

To find the ratio of graduates to non-graduate employees:

Graduates : Non-graduates = 1/4 : 3/4

Simplify the ratio:

Graduates : Non-graduates = 1 : 3

Explanation

To find the time it takes to travel 120 km:

Speed = Distance / Time = 200 km / 1 hour = 200 km/h

Time to travel 120 km = Distance / Speed

= 120 km / 200 km/h

= 0.6 hours

Convert hours to minutes:

0.6 hours * 60 minutes/hour = 36 minutes

The correct answer is: 36 minutes

Explanation

To solve this problem, we can calculate the rate at which the laborers dig the earth:

Rate = 805 cubic meters / (35 laborers × 5 hours)

= 805 / 175

= 4.6 cubic meters per laborer per hour

Now, we can calculate the amount of earth dug by 30 laborers in 6 hours:

Earth dug = 30 laborers × 6 hours × 4.6 cubic meters per laborer per hour

= 30 × 6 × 4.6

= 828 cubic meters

The correct answer is 828m³.

Explanation

The husband and wife: 2

Six married sons: 6

Six daughters-in-law (wives of the sons): 6

30 grandchildren (6 sons x 5 children each): 30

Total family members: 2 + 6 + 6 + 30 = 44

The correct answer is 44.

Explanation

18800 / 470 / 20 = (18800 / 470) / 20 = 40 / 20 = 2

Explanation

Let the distance between the police officer's house and office be D km.
Let the actual time required to reach the office on time be T hours.

Step 1: Forming Equations

Using the speed-time formula:

$$text{Time} = frac{text{Distance}}{text{Speed}}$$Speed​

Case 1: Walking at 4 km/h

D/4​​=T+5/60​

(since he is 5 minutes late, which is 5/60 hours)

Case 2: Walking at 5 km/h

D5​=T−10/60​

(since he is 10 minutes early, which is 10/60 hours)

Step 2: Solving for Distance

From the first equation:

T=D/4​−5/60​

From the second equation:

T=D/5​+10/60​

Equating both expressions for T:

D/4​−5/60​=D/5​+10/60​

Multiply everything by 60 to clear the fractions:

$$60 times left( frac{D}{4} - frac{5}{60} right) = 60 times left( frac{D}{5} + frac{10}{60} right)$$15D−5=12D+10
$$15D-12D=10+5$$$$3D = 15$$ $$D = 5 text{ km}$$

Explanation

Cost price of bicycle =Rs.8000

Profit of 25%

Hence,

⇒ 25/100 ×8000=2000

Selling price = Cost price + Profit

⇒8000+2000=Rs.10000

**

ND17-1-2023