Select the option that is related to the third number in the same wayas the second numberis related ...........

Logical Resoning (CGL) Analogy

Select the option that is related to the third number in the same wayas the second numberis related to the first number.

3 : 20 :: 7 : ?

This questions was previously asked in

SSC CGL 7th March 2020 Shift-3

105

100

Let's break down the relationship step-by-step:

- The given pair is 3 : 20. Let's find a pattern:

- \(3^3 - 7 = 27 - 7 = 20\)

- Now apply the same rule for 7:

- \(7^3 - 7 = 343 - 7 = 336\)

- But 336 is not among the options. Let's try another pattern:

- \(3 \times 7 = 21\) (Close to 20 but not matching, check subtraction: 3 × 7 - 1 = 20)

- Let's check the same pattern for 7:

- 7 × (next odd number, which is 15) = 7 × 15 = 105

Let's check options with our patterns:

- Option 1, 105: Matches if using the multiplication pattern (7 × 15)

- Option 2, 96: No clear visible pattern.

- Option 3, 100: No clear logical connection.

- Option 4, 98: No clear logical connection.

Correct Answer: Option 1, 105

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