CAT Quant Practice Problems

Question: Each of the numbers x1, x2,, xn,n ≥ 4, is equal to 1 or –1. Suppose

\({x_1}{x_2}{x_3}{x_4} + {x_2}{x_3}{x_4}{x_5} + {x_{n - 3}}{x_{n - 2}}{x_{n - 1}}{x_n} + ... + {x_{n - 2}}{x_{n - 1}}{x_n}{x_1} + {x_{n - 1}}{x_n}{x_1}{x_2} + {x_n}{x_1}{x_2}{x_3} = 0,\) then

n is even
n is odd
n is an odd multiple of 3
n is prime
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