The number of common terms between the sequences given by $1, 4, 7, 10, . . . . .298$ and $2, 4, 6, 8, . . . . .300$ is

49

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50

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48

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100

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Solution

The correct option is B $50$
Common terms

$4, 10, - - - - - 298$

$298 = 4 + (n - 1) (6)$

$294 = 1 (n - 1) 6$

$n - 1 = 49$

$n = 50$

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