Solution

2<x<32
If x is largest
X^2<15^2+17^2
X^2<514
-√514<x<√514
X can be. 3,4,5,6,7,..........,22
If 17 is largest side
289<x^2+15^2
X^2-64>0
X>8. X<-8
Possible values 9,10,11,......
........22
Common possible values
9 to 22
14 total

Without matrix
Then 1/2 of 26/3*12/5-1/2 of 26/3*2
=26/15

4 ko rahne do
4 se not divisibile matlab 2 se not divisibile

½×2/3×4/5=4/15

From (301 to 1995)
(1995-300)×4/15=452

Extra=1997,1999

452+2=454✅

Total number 2000-300+1-2=1699
Divisible by 2 150-1000+1-2=849
By 3. 100-666+1-1=566
By 6. 50-333+1-1=283
By 2 or 3. 849+566-283=1132
By 5. 60-400+1-2=339
By 10. 30-200+1-2=169
By 15. 57. Counted twice
So by 5 only except 3,2
339-(169+57)=113

So total number divisible by
2,3,4 and 5. 1132+113=1235
Not divisible. 1699-1245=454

if n = 1

s = 1

if n = 2

1 + x = 4x

x = 1/3

if n = 3

1 + 1/3 + x = 9x

x = 1/6

if n = 4

1 + 1/3 + 1/6 + x = 16x

x = 1/10

so S = 1, 1/3, 1/6, 1/10, 1/15, ..............

nth term of the S is 2(1/n - 1/(n+1))

so 10th term = 2(1/10 - 1/11)

55

Find the least five digit number. If that is divisible by 11,12,13 reminders are 2,4,6 respectively.