Indian Institute of Technology Kanpur (IIT-K) 2006 JT - Question Paper

the textbook of either subject is constant. Ramesh is confident about Engineering Drawing and wants
to devote full time to studying Engineering Mathematics. The number of Engineering Mathematics text
book pages he can learn on Tuesday is
(A) 35 cm (B) 30 cm (C) 100 (D) 60
Solution 101: 7:"
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""+
EA 
K"+" -
)
 2""
""
"6-" 
 : K

:
 K
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:


: 



30
150
y
x = 


1
5
y
x = 
 >
"
""+E?1"+
>"
""+EA )
 : K

:
5
x
 K

:: K

K :
 2"
"+E?)
 %1"""&()
Q.102 ....
15
1
10
1
6
1
3
1
1
1 + + + + + equals
(A) two (B) three (C) five (D) ¥
Solution 102 : H  -"+"" 
 




+
- + 



 -
-
+ + 



 - + 



 - + 



 -
1
2 two 2
1
2
..........
4
2
3
2
3
2
2
2
2
2
1
2
n n n n

 2"-"+ 
 




+
= -
1
2
1
2
n
Sn 

1
2
+
=
n
n
Sn 
 '
+" 

1
2
+
=
®¥
¥ n
n
S Lim
n

 2L 
 %" ""&'()
Q.103 A circular table is pushed to the corner of a room touching 2 perpendicular walls. If a point on the
edge of the table facing the corner is eight and nine cm from the 2 walls then the radius of the table (in cm)
is
(A) 29 (B) 17
(C) five (D) undeterminable from above
Solution 103 : 0+-
7--'5 1'A  1M ' M N &
-(
 5':

"O
O^M N)
 0D'OM 
 'M  'OOM 

 &J (&J(

 J8J8

 
$

$
 

Earning:   Approval pending.