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

• The volume of a sphere (V) is given by V = (4/3)πr^3, and the surface area (A) is given by A = 4πr^2.
• If V = A, then: (4/3)πr^3 = 4πr^2
• Simplifying, we get: r = 3 units

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

A car travels 120 km in 2 hours

Then the distance traveled by the car in 1 hour = 120/2km 

=60km

Then the distance travelled by the car in 3 hours= 3*60km

=180km

Hence the car travels 180km in 3 hours

Explanation

The formula is A * b / A + B

= 12 * 24 / 12 + 24

= 288 / 36

= 8

Explanation

 The sum of two irrational numbers is not always irrational, but it is always a real number.

- Example:  

  √2 + (−√2) = 0 → which is rational.  

  So, irrational + irrational = rational (sometimes), irrational (sometimes)  

  But always a real number.

ND5-07-2023

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

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 .

Explanation

To make a desert = 2.5 pints

To make 3 desserts =?

= 2.5 x 3

= 7.5

Explanation

Marked Price of Car = 6,00000

Sale Price of Car = 5,70000

Discount = 6,00000 — 5,70000 = 30,000

Discount Percentage = 30,000/6,00000 × 100

Discount Percentage = 0.05×100 = 5%