Using identities, evaluate $153^{2} - 147^{2}$

1900

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1800

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1700

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1750

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Solution

The correct option is D $1800$
$153^{2} - 147^{2}$
Using, $(a^{2} - b^{2}) = (a + b) (a - b)$
$= (153 + 147) (153 - 147)$
$= 300 \times 6$
$= 1800$

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Cost of living Index	Number of Students	Cost of living Index	Number of Students
1400−1500 1500−1600 1600−1700	5 10 20	1700−1800 1800−1900 1900−2000	9 6 2

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