How many days of gap are there between Science and Philosophy?

In a group of $5$ people,$K, L, M, N,$ and $R$ are present. The attributes are: $K, L, M$ are ambitious; $M, N, R$ are honest; $L, M, N$ are intelligent; and $K, N, R$ are industrious. Among these,who is neither industrious nor ambitious?

$A$ training college has to conduct a refresher course for teachers of seven different subjects: Mechanics,Psychology,Philosophy,Sociology,Economics,Science,and Engineering from $22^{nd}$ July to $29^{th}$ July.
$1$. The course should start with Psychology.
$2$. $23^{rd}$ July,being Sunday,should be a holiday.
$3$. Science subject should be on the previous day of the Engineering subject.
$4$. The course should end with Mechanics.
$5$. Philosophy should be immediately after the holiday.
$6$. There should be a gap of one day between Economics and Engineering.
Which subject will be on Tuesday?

$A$ training college has to conduct a refresher course for teachers of seven different subjects: Mechanics,Psychology,Philosophy,Sociology,Economics,Science,and Engineering from $22^{nd}$ July to $29^{th}$ July.
$1.$ The course should start with Psychology.
$2.$ $23^{rd}$ July,being Sunday,should be a holiday.
$3.$ Science subject should be on the previous day of the Engineering subject.
$4.$ The course should end with Mechanics.
$5.$ Philosophy should be immediately after the holiday.
$6.$ There should be a gap of one day between Economics and Engineering.
The refresher course will start with which one of the following subjects?

$A$ training college has to conduct a refresher course for teachers of seven different subjects: Mechanics,Psychology,Philosophy,Sociology,Economics,Science,and Engineering from $22^{nd}$ July to $29^{th}$ July.
$1.$ The course should start with Psychology.
$2.$ $23^{rd}$ July,being Sunday,should be a holiday.
$3.$ Science subject should be on the previous day of the Engineering subject.
$4.$ The course should end with Mechanics.
$5.$ Philosophy should be immediately after the holiday.
$6.$ There should be a gap of one day between Economics and Engineering.
Which subject precedes Mechanics?

$1.$ There are five friends: Sonal,Ratheesh,Manoj,Ashok,and Gireesh.
$2.$ Sonal is shorter than Ratheesh but taller than Gireesh.
$3.$ Manoj is the tallest.
$4.$ Ashok is a little shorter than Ratheesh and a little taller than Sonal.
Who is the second tallest?