Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term.

6 : 646 :: 5 : ? :: 4 : 190

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 3)
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  1. 373
  2. 377
  3. 337
  4. 376

Answer (Detailed Solution Below)

Option 1 : 373
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Detailed Solution

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The logic followed here is:

Logic: (Cube of 1st number) × 3 - 2 = 2nd number.

Now,

6 : 646

→ 63 × 3 - 2

→ 216 × 3 - 2

→ 648 - 2 = 646.

4 : 190

→ 43 × 3 - 2

→ 64 × 3 - 2

→ 192 - 2 = 190.

Similarly, 5 : ?

→ 53 × 3 - 2

→ 125 × 3 - 2

→ 375 - 2 = 373.

Hence, the correct answer is "373".

Alternate Method

Logic :  (Cube of 1st number) × 3 = 2nd number + 2

So,

  • 6 : 646

 × 3 = 646 + 2

216 × 3 = 648

648 = 648 (LHS = RHS)

And,

  • 4 : 190

 × 3 = 190 + 2

64 × 3 = 192

192 = 192 (LHS = RHS)

Similarly,

  • 5 : ?

 × 3 = ? + 2

125 × 3 - 2 = ?

375 - 2 = ?

373 = ?

Hence, "373" is the correct answer.

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