Questions

First weigh 3 against 3 balls. If the ball contains among these six balls, then take the three balls which weighed over, and weigh the ball 1 against 1. If the balls are not equal and any one of the ball weighs more, that is the overweight ball, else the one among the three which is not weighed is the ball. If the 3 against 3 balls were equal, then weigh the 2 balls, then the overweight ball will be found.

Let the 5 digit number be represented by abcde.

Then the 6 digit number, 1abcde x 3 = abcde1 (another 6 digit number)

Now let Y = abcde

Then (100000 + Y) x 3 = (Y x 10) + 1

300000 + 3Y = 10Y + 1

7Y = 299999

Y = 299999 ÷ 7 = 42857

The Indian Institute of Engineering Science and Technology (IIEST) has successfully created the country’s first smart grid project, which will generate power from renewable sources of energy.  The project will soon be inaugurated by President Pranab Mukherjee, IIEST Director Prof Ajoy Kumar Roy. The smart grid will be synchronised to generate power from solar, wind and vegetable waste resources, depending on the weather conditions and availability of waste products. It is the first of its kind in the country.

The logic in the given puzzle is 

4 + 4 = 4 * 4+1 = 4 * 5 = 20

5 + 5 = 5 * 5+1 = 5 * 6 = 30

6 + 6 = 6 * 6+1 = 6 * 7 = 42

7 + 7 = 7 * 7+1 = 7 * 8 = 56

Similarly

9 + 9 = 9 * 9+1 = 9 * 10 = 90.

Be frank. Some established designers use no or little computer software in their work. Others rely heavily on technology (CAD). Simply explain how you work. If you are an efficient designer, your use of computer software will not be relevant.