self Exam Numerical Ability Number System

The value of the in nite product
P =
7
9

26
28

63
65
    
n^3 - 1
n^3 + 1
   is
Option
(A) 1
(B) 2/3
(C) 7/3
(D) None of the above.

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self Other Question

The number of positive integers which are less than or equal to 1000 and are divisible by none of 17, 19 and 23 equals
Option
(A) 854
(B) 153
(C) 160
(D) None of the above.
Consider the following system of equivalences of integers.
x  2 mod 15
x  4 mod 21:
The number of solutions in x, where 1  x  315, to the above system of
equivalences is
Option
(A) 0
(B) 1
(C) 2
(D) 3.