Simplify the following.

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 24 Jul 2023 Shift 3)
View all SSC CGL Papers >
  1.  10-3
  2.  10-3

Answer (Detailed Solution Below)

Option 4 :  10-3
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
25 Qs. 50 Marks 10 Mins

Detailed Solution

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Given:

Formula used:

a3 + b3 = (a + b)(a2 - ab + b2)

Calculation:

⇒ (0.013 + 0.0033)/(5 × 0.01 × 5 × 0.01 - 5 × 0.01 × 5 × 0.003 + 5 × 0.003 × 5 × 0.003)

⇒ (0.013 + 0.0033)/(25 × 0.01 × 0.01 - 25 × 0.01 × 0.003 + 25 × 0.003 × 0.003)

⇒ (0.013 + 0.0033)/25(0.012 - 0.01 × 0.003 + 0.0032)

⇒ (0.01 + 0.003)/25

⇒ 13/25 × 10- 3

∴ The value is 13/25 × 10-3

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