Explanation

Explanation

Explanation

(3x-5) = 4(x-5)

3x -5 = 4x -20 

4x -3x = 20 -5

x=15

Explanation

To solve the problem, let us assume the total number of boys is $B$ and the total number of girls is $G$. According to the problem:

• $frac{1}{3}$ of the boys are present, so the number of boys present is $frac{B}{3}$
  
• $frac{1}{2}$ of the girls are present, so the number of girls present is $frac{G}{2}$.

The total number of students present is given as:

B​/3+G​/2=Total students present.

Step 1: Check if additional information is provided

• The problem does not give the total number of boys ($B$) or girls ($G$), nor a relationship between $B$ and $G$.
• Without this, we cannot calculate the total number of students present.

Step 2: Conclusion

Since no additional information about $B$ and $G$ is given, the correct answer is:

(D) Data inadequate.

Explanation

Waking - 1/3 hours = 20 min

Motorbike ride = 1/2 hours = 30 min

Total journey = 20 + 30 = 50 min

Portion of Bike ride = 30/50 = 0.6

ND16-3-2023

Explanation

If 4 is removed, the sum of the remaining numbers is 0 + 2 + 5 + 9 = 16.

The average remains the same, 16/4 = 4.

Explanation

Sum of the ages of 3 friends =3×23= 69 years

Sum of the ages of 4 friends =4×23= 92 years

∴ Age of 4th friend = 92 years - 69 years = 23 years.

Explanation

The mean proportional between two numbers a and b is √(ab).

So, √(2 × 8) = √16 = 4.

Explanation

Amount of work done by A and B in 1 day = 1/30

Amount of work done by A and B in 20 days = 20 × (1/30) = 20/30 = 2/3

Remaining work – 1 – 2/3 = 1/3

A completes 1/3 work in 20 days

Amount of work A can do in 1 day = (1/3)/20 = 1/60

=> A can complete the work in 60 days

Explanation

Initial average age of 5 members = 21

Total age of 5 members = 21 * 5 = 105

New average age with grandfather = 21 + 9 = 30

Total age of 6 members (including grandfather) = 30 * 6 = 180

Age of grandfather = Total age of 6 members - Total age of 5 members

= 180 - 105

= 75

The correct answer is 75.