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Vaibhav Srivastava

· started a discussion

· 1 Months ago

999 (Question:251310.0)

how does 999 become 3

Question:

$[2 - \frac{1}{3}] [2 - \frac{3}{5}] [2 - \frac{5}{7}] . . . . . [2 - \frac{997}{999}]$

Options:

A)

2/999

B)

1998/3

C)

1001/3

D)

1998/5

Solution:

$[2 - \frac{1}{3}] [2 - \frac{3}{5}] [2 - \frac{5}{7}] . . . . . . [2 - \frac{997}{999}]$

$= [\frac{6 - 1}{3}] [\frac{10 - 3}{5}] [\frac{14 - 5}{7}] . . . . . [\frac{1998 - 997}{999}]$

$= \frac{5}{3} \times \frac{7}{5} \times \frac{9}{7} . . . . . . \frac{1001}{999}$

$= \frac{1001}{3}$

Pushpender

· commented

· 1 Months ago

Yet to be approved!

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