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CAT 2015 Quantitative Ability
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© examsnet.com
Question : 5
Total: 34
There are 40 students in a class. A student is allowed to shake hand only once with a student who is taller than him or equal in height to him. He can’t shake hand with anyone who is shorter than him. Average height of the class is 5 feet. What is the difference between the maximum and minimum number of handshakes that can take place in the class?
[
40
C
2
2
−
20
]
361
40
C
2
−
40
40
C
2
Validate
Solution:
If all are of equal height, number of handshakes
=
40
C
2
.
If all are of different heights, number of handshakes= 0.
Difference
=
40
C
2
−
0
=
40
C
2
© examsnet.com
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