What is the value of \({196 \over 7} \div {35 \over 12}\) of \({132 \over 55} \times {45 \over 20}\)?

This question was previously asked in
SSC MTS (2022) Official Paper (Held On: 11 May, 2023 Shift 2)
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  1. 45
  2. 36
  3. 4
  4. 9

Answer (Detailed Solution Below)

Option 4 : 9
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Detailed Solution

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Given:

\({196 \over 7} ÷ {35 \over 12}\) of \({132 \over 55} × {45 \over 20}\)

Concept:

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Calculation:

⇒ \({196 \over 7} ÷ {35 \over 12}\) × \({132 \over 55} × {45 \over 20}\)

⇒ 28 ÷ \({35 × 11\over 55}× {45\over 20}\)

⇒ 28 ÷ 7 × \({45\over 20}\)

⇒ 4 × \({45\over 20}\)

⇒ \({45\over 5}\)

⇒ 9

∴ The required result will be 9.

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