3/4 (1+1/3) (1+2/3) (1-2/5) (1+6/7) (1-12/13)= ? · ABC26GN1071

Subject: General Aptitude · Chapter: Simplification

$\frac{3}{4}\left(1+\frac{1}{3}\right)\left(1+\frac{2}{3}\right)\left(1-\frac{2}{5}\right)\left(1+\frac{6}{7}\right)\left(1-\frac{12}{13}\right)=$ ?

(a)$\frac{1}{5}$

(b)$\frac{1}{6}$

(c)$\frac{1}{7}$

(d)None of these

Answer

Answer (as printed): C

Explanation

Given exp. $=\frac{3}{4} \times \frac{4}{3} \times \frac{5}{3} \times \frac{3}{5} \times \frac{13}{7} \times \frac{1}{13}=\frac{1}{7}$.

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for Simplification