Simplify

\(\left[3\frac{2}{5}\times\left\{2\frac{3}{4}+3.3\left(5\frac{1}{3}+3\frac{1}{3}-2\frac{1}{3}\right)\right\}\right]\)

This question was previously asked in
SSC CPO 2024 Official Paper-I (Held On: 28 Jun, 2024 Shift 2)
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  1. 46.29
  2. 80.41
  3. 70.25
  4. 53.25

Answer (Detailed Solution Below)

Option 2 : 80.41
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SSC CPO : English Comprehension Sectional Test 1
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50 Questions 50 Marks 20 Mins

Detailed Solution

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Given:

\(\left[3\frac{2}{5}\times\left\{2\frac{3}{4}+3.3\left(5\frac{1}{3}+3\frac{1}{3}-2\frac{1}{3}\right)\right\}\right]\)

Concept used:

Simplify fractions into small fractions.

Calculation:

\(\left[3\frac{2}{5}×\left\{2\frac{3}{4}+3.3\left(5\frac{1}{3}+3\frac{1}{3}-2\frac{1}{3}\right)\right\}\right]\)

⇒ \(\left[\frac{17}{5}×\left\{\frac{11}{4}+3.3\left(\frac{16}{3}+\frac{10}{3}-\frac{7}{3}\right)\right\}\right]\)

⇒ \(\left[\frac{17}{5}×\left\{\frac{11}{4}+3.3\left(\frac{19}{3}\right)\right\}\right]\)

⇒ \(\left[\frac{17}{5}×\left\{\frac{11}{4}+1.1× 19)\right\}\right]\)

⇒ \(\left[\frac{17}{5}×\left\{\frac{11}{4}+1.1× 19)\right\}\right]\)

⇒ 3.4 × {2.75 + 20.9}

⇒ 3.4 × 23.65

⇒ 80.41

∴ The correct answer is 80.41

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