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JEE Advanced Model Paper 3 with solutions for online practice
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© examsnet.com
Question : 53
Total: 60
If
100
C
6
+ 4 .
100
C
7
+ 6 .
100
C
8
+ 4 .
100
C
9
+
100
C
10
has the value equal to
x
C
y
, then the value of (x + y) can be equal to
114
115
198
199
Validate
Solution:
100
C
6
+
100
C
7
+ 3 (
100
C
7
+
100
C
8
) + 3 (
100
C
8
+
100
C
9
) +
100
C
9
+
100
C
10
=
101
C
7
+ 3
101
C
8
+ 3
101
C
9
+
101
C
10
=
101
C
7
+
101
C
8
+ 2
(
101
C
8
+
101
C
9
)
101
C
9
+
101
C
10
=
102
C
8
+ 2 .
102
C
9
+
102
C
8
+
102
C
9
+
102
C
9
+
102
C
10
=
103
C
9
+
103
C
10
=
104
C
10
=
104
C
94
⇒ x = 104 and y = 10 or x = 104 and y = 94
Hence , (x + y) = 114 or 198
© examsnet.com
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