Job Roles

• A 360-foot-high (110 metres) flag post, said to be the country's tallest, was inaugurated at the Indo-Pak Attari Border, just a stone's throw from Pakistan.
• Punjab Minister Anil Joshi inaugurated the country's largest tricolour on the tallest flag post - measuring 110 metres in length, 24 metres in width and 55 tons in weight. Built at an approximate cost of Rs 3.50 crore, the post was a project of the Amritsar Improvement Trust Authority of the Punjab Government.

Probability of atleast one failure
= 1 - no failure > 31/32
= 1 - P5 > 31/32
=  P5<1/32
= p < 1/2
Also p > 0
Hence p lies in [0,1/2].

In general, Services are Javscript functions and are responsible to do a specific tasks. Factories implements module pattern in which we use a factory method to generate an object which is use for building models.

It's syntax is
module.factory('factoryName', function);

Suman is brilliant and dishonest is   P ∧~ R
Suman is brilliant and dishonest iff suman is rich is
Q ↔  (P ∧ ~ R)

Negative of statement is expressed as
~ (Q ↔(P ∧ ~ R)).

Possible arrangements for 4 books are 4x3x2x1 = 24
For making a new arrangement, two books are required to be moved.
One book takes one minute, then for 2 books
So total 24 x 2 = 48 mins.

If fares for cities L and M from K are x and y respectively, then

2x + 3y = 77 or 6x + 9y = 231...(1)
3x + 2y = 73 or 6x + 4y = 146...(2)

subtracting 2 from 1, we get

5y = 85

y = Rs. 17 => x = Rs. 13

Valuable suggestion from the retired professors will be helpful for restructuring of an organisation. Hence, management should involve such experienced people. Seeking permission from the employees is not the right course of action.