If 64 : x :: x : 169, and x > 0, find the value of x.

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RRB Technician Grade III Official Paper (Held On: 30 Dec, 2024 Shift 2)
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  1. 104
  2. 112
  3. 96
  4. 108

Answer (Detailed Solution Below)

Option 1 : 104
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Detailed Solution

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Given:

64 : x :: x : 169

Formula used:

a : b :: c : d means a \times d = b \times c

Calculation:

64 : x :: x : 169

⇒ \(64 \times 169 = x \times x\)

⇒ \(64 \times 169 = x^2\)

⇒ \(x^2 = 64 \times 13^2\)

⇒ \(x^2 = (8 \times 13)^2\)

⇒ x = 104

∴ The correct answer is option 1.

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