Explanation

Numbers in order: 5, 7, 12, 18, 20

Middle value (3rd number) = 12

Explanation

To determine the selling price, we can use the formula:

Selling Price = Cost of Goods Sold (COGS) + Gross Profit

In this case,

the COGS is RS 120

and the gross profit is RS 80.

So, the selling price would be:

Selling Price = RS 120 + RS 80

Selling Price = RS 200

Explanation

Step 1: Let's denote the two numbers as x and y.
We have two equations:

1. x + y = 28

2. x - y = 4

Step 2: Solve the system of equations.
Adding the two equations eliminates y:
(x + y) + (x - y) = 28 + 4
2x = 32
Step 3: Solve for x.
x = 32 / 2
x = 16
Step 4: Solve for y.
Substitute x into one of the original equations:
16 + y = 28
y = 28 - 16
y = 12
Step 5: Identify the correct pair of numbers.
The numbers are 16 and 12.

Explanation

Sum of A,B,C,D = 45 * 4 = 180  

New average after E = 49 with 5 persons → Total sum = 49 * 5 = 245  

E's age = 245 - 180 = 65 years

Explanation

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

So, √(2 × 8) = √16 = 4.

Explanation

Casey can carry 4 boxes per trip.

Total boxes = 33

Number of trips = 33 ÷ 4 = 8.25

Since he can’t make a fraction of a trip, he needs 9 trips.

Explanation

To find the average:

(25 + 20 + 17 + 19) ÷ 4  

= 81 ÷ 4  

= 20.25

Explanation

Let's find the third number:

Average = (Sum of numbers) / 3

65 = (60 + 75 + x) / 3

65 × 3 = 60 + 75 + x

195 = 135 + x

x = 195 - 135

x = 60

Explanation

- 3 pointers point 3 walls in 3 minutes.

- So, 1 pointer points 1 wall in 3 minutes.

Now, we want to know how many pointers are needed to point 27 walls in 9 minutes.

Since 1 pointer points 1 wall in 3 minutes, in 9 minutes (which is 3 times longer), 1 pointer can point:

1 wall × 3 = 3 walls.

To point 27 walls in 9 minutes:

Number of pointers needed = Total walls / Walls per pointer = 27 / 3 = 9 pointers.

Explanation

We need to divide Rs. 712,000 between two towns with populations 1,800 and 1,500, in proportion to their population.

Step 1: Total Population  

1800 + 1500 = 3300

Step 2: Share per person  

712,000 ÷ 3300 = Rs. 215.76 approx.

Step 3: Each town’s share  

- Town A (1800 people):  

  1800 × 215.76 = Rs. 388,363 approx.  

- Town B (1500 people):  

  1500 × 215.76 = Rs. 323,636 approx.