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\( \Large \frac{\frac{1}{5}+999 \times \frac{494}{495} \times 99}{4} \)
A) 25000
B) 24225
C) 24800
D) 24750
Correct answer:
D) 24750
Description for Correct answer:
Given expression
=\( \Large \frac{\frac{1}{5}+999 \times \frac{494}{495} \times 99}{4} = ? \)
=\( \Large \frac{\frac{1}{5}+ \left(999+\frac{494}{495}\right) \times 99}{4} \)
\( \Large \frac{\frac{1}{5}+999 \times 99+\frac{494}{495} \times 99}{4} \)
=\( \Large \frac{\frac{1}{5}+ \left(1000-1\right) \times 99+\frac{494}{495} }{4} \)
\( \Large \frac{\frac{1}{5}+ \left(1000-1\right) \times 99+\frac{494}{495} }{4} \)
=\( \Large \frac{\frac{495}{5}+ \left(99000-99\right) }{4} \)
=\( \Large \frac{99+99000-99}{4} = \frac{99000}{4} \)
= 24750
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