What will be the next term in the series ?
$101, 100, 96, 87, 71, ?$

45

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55

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56

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46

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Solution

The correct option is B $46$
Difference of each successive number is the square of a natural number.
$101 - 100 = 1$
$100 - 96 = 4$
$96 - 87 = 9$
$87 - 71 = 16$
$71 - x = 25$
$x = 46$

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