Explanation

Explanation

Step 1:
Take half of the first number.

Step 2:
Take half of the second number.

Step 3:
Concatenate the two halves (treating them as digits).

Let's verify with the given examples:

• 6 × 2:
  Half of 6 is 3 and half of 2 is 1. Concatenating these gives 31.

• 8 × 4:
  Half of 8 is 4 and half of 4 is 2. Concatenating these gives 42.

• 2 × 2:
  Half of 2 is 1 and half of 2 is 1. Concatenating these gives 11.

• 6 × 6:
  Half of 6 is 3 and half of 6 is 3. Concatenating these gives 33.

Now, apply the same logic to 8 × 6:

• Half of 8 is 4.

• Half of 6 is 3.

When you concatenate 4 and 3, you get 43.

Thus, the answer to 8 × 6 = 43.

Explanation

Given information:

1. The average of the first three numbers (A, B, C) is 15

   $$frac{A + B + C}{3} = 15$$ $$A + B + C = 45$$

2. The average of the last three numbers (B, C, D) is 16

   $$frac{B + C + D}{3} = 16$$ $$B + C + D = 48$$

3. The last number (D) is 19

   $$B + C + 19 = 48$$ $$B + C = 29$$

Finding A

We already have:

$$A + B + C = 45$$

Substituting $B + C = 29$:

$$A + 29 = 45$$$$A = 45 - 29$$ $$A = 16$$

Explanation

To find the number of packages:

Convert the total weight from kilograms to grams: 9 kg x 1000 g/kg = 9000 g

Divide the total weight by the weight per package: 9000 g ÷ 450 g/package = 20 packages

Explanation

Let the number be x.

Given:

3​/11×x=22

To find x, multiply both sides by3​/11​:

x=22×11/3​=242/3​

But this gives a fractional number — let's double-check:

Actually, it's simpler to find 6/11​ of the number without finding the whole number.

We know:

3​/11​ of number =22

So, 1 part (i.e., $frac{1}{11}$) = 22/3​

Then:

6/11​=6×(22/3​)=132​/3=44

Explanation

Step 1: Find the perimeter of the square

$$\text{Perimeter}=4\times \text{side}=4\times 50=200\text{ meters}$$

Step 2: Calculate total fencing cost

$$\text{Cost}=200\times 8=\text{Rs. }1600$$

Explanation

The series is obtained by multiplying the previous term by a increasing sequence of numbers:

• 2 × 2 = 4
• 4 × 3 = 12
• 12 × 4 = 48
• 48 × 5 = 240
• 240 × 6 = 1440

Explanation

If 12 men can complete the work in 24 days,

it means that the total number of man-days required to complete the work is:

12 men * 24 days = 288 man-days.

288 man-days / 8 men = 36 days.

Explanation

We are told:

• Arrival time = 15:06 (i.e., 3:06 PM)

• Journey duration = 5¼ hours = 5 hours 15 minutes

Step 1: Subtract 5 hours 15 minutes from 15:06

Start with 15:06

• Subtract 5 hours → 10:06

• Subtract 15 minutes → 9:51

Explanation

This is an arithmetic sequence with common difference of 3.

The first element is 1, and total elements are 101. So, a1 = 1, d = 3 and n = 101.

Therefore, by using the formula of nth term of an arithmetic sequence, we have 301 .