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If n is an integer, how many values of n will give an integral value of(16nz+7n+6)n? (CAT 1997)


Options:
A .   2
B .   3
C .   4
D .   None of these
Answer: Option C
:
C

Ans: (c)


(16nz+7n+6)n=16n+7+6n;
Since n is an integer, hence for the entire expression to become an integer, (6n) should be an integer. And (6n) can be integer for n=1,2,3,6. Hence n has 4 values.



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