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Question 7
Which of the following statement(s) is/are TRUE?
I. $$1\frac{2}{3}+2\frac{3}{4}+3\frac{4}{5}>8$$
II. $$6\frac{1}{2}-5\frac{3}{4}+4\frac{1}{4}>5$$
Solution
$$1\frac{2}{3}+2\frac{3}{4}+3\frac{4}{5}$$
$$=\frac{5}{3}+\frac{11}{4}+\frac{19}{5}$$
$$=\frac{100+165+228}{60}.$$
$$=98.6\ .$$
(I) is correct choice.
$$6\frac{1}{2}-5\frac{3}{4}+4\frac{1}{4}$$
$$=\frac{13}{2}-\frac{23}{4}+\frac{17}{4}$$
$$=\frac{26-23+17}{4}.$$
$$=5.$$
So, (II) is not correct choice.
A is correct choice.
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