If , what is the value of ?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 2)
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  1. 1030
  2. 960
  3. 1000
  4. 970

Answer (Detailed Solution Below)

Option 4 : 970
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PYST 1: SSC CGL - English (Held On : 11 April 2022 Shift 1)
25 Qs. 50 Marks 12 Mins

Detailed Solution

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Formula Used:

(a + b)2 = a2 + b2 + 2ab

(a + b)3 = a3 + b3 + 3ab(a + b)

Calculation:

As per the question,

x - 1/x = 2√2

⇒ (x - 1/x)2 = 8

⇒ (x2 + 1/x2) = 10

Again,

(x2 + 1/x2)3 + 3(x2 + 1/x2 )

x6 + 1/x6 = (10)3 - 3(10)

x6 + 1/x6 = 1000 - 30 = 970

∴ The correct option is 4

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