Exams

15! - 14! - 13!

= (15 × 14 × 13!) - (14 × 13!) - (13!)

= 13! (15 × 14 - 14 - 1)

= 13! (15 × 14 - 15)

= 13! x 15 (14 - 1)

= 15 × 13 × 13!

Let the two digits be x & y

From given data in the question, we get

x + y = 3(x - y)

x + y = 3x - 3y

=> 2x = 4y

x/y = 2/1

For having the 2:1, numbers satisfying are

12, 21, 24, 42, 36, 63, 48, 84

From this 36 is eleminated because it is a perfect square and no others are prime or perfect squares.

Hence, there exists 7 such 2-digit numbers => 12, 21, 24, 42, 63, 48, 84.

The Start button allows users to access their run applications, device setting, turn off the system, computer programs or configure Microsoft Windows easily by accessing the Start Menu.

Robert Brown, Scottish botanist, Discovered The Nucleus of a Cell in 1831, London. When Brown was studying orchids under microscope when he observed an opaque area, which he called the "Areola" or "Nucleus", in the cells of the flower's outer layer.

The nucleus was also described by Franz Bauer in 1804 but in detail Robert Brown made it in 1831.

To find the LCM of 24, 36 and 40

24 = 2 x 2 x 2 x 3

36 = 2 x 2 x 3 x 3

40 = 2 x 2 x 2 x 5 

Now, LCM of 24, 36 and 40 = 2 x 2 x 2 x 3 x 3 x 5

= 8 x 9 x 5

= 72 x 5

= 360

Shankha Ghosh, the outstanding Bengali writer, commentator and academician, has been chosen for the prestigious 52nd version of the Jnanpith Award (2016) by the Government of India (GoI) for his lovely phrase and tries different things with different beautiful structures check his significance as an imaginative ability.The Jnanpith Award is presented every year to a literary figure for their outstanding contribution in literature. The honor conveys a reference, prize cash of Rs. 12 lakh and a bronze imitation of Goddess Saraswati.He turned into the sixth Bengali creator to win India's most astounding artistic honor after Mahasweta Devi, Tarashankar Bandopadhyay, Ashapurna Devi, Subhash Mukhopadhyay and Bishnu Dey.