Select the set in which the numbers are related in the same way as are the numbers of the following set.

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g., 13 – Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed)

(64, 100, 54)

(84, 81, 75)

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SSC GD Constable Memory Based Test (25 Jan 2023 Shift 1)
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  1. (70, 49, 60)
  2. (125, 64, 117)
  3. (51, 36, 43)
  4. (12, 4, 9)

Answer (Detailed Solution Below)

Option 2 : (125, 64, 117)
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Detailed Solution

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The logic followed here is, 

(First Number) - (√Second Number) = (Third Number)

(64, 100, 54):

Using the logic,

64 - √100 = 54, 54 = 54

LHS = RHS.

Similarly,

(84, 81, 75):

Using the logic,

84 - √81 = 75, 75 = 75

LHS = RHS.

Now, let's check each option,

1) (70, 49, 60):

Using the logic,

70 - √49 = 60, 63 = 60

LHS ≠ RHS.

2) (125, 64, 117):

Using the logic,

125 - √64 = 117, 117 = 117

LHS = RHS.

3) (51, 36, 43):

Using the logic,

51 - √36 = 43, 45 = 43

LHS ≠ RHS.

4) (12, 4, 9):

Using the logic,

12 - √4 = 9, 10 = 9

LHS ≠ RHS.

Here, we can see that Option 2 satisfies the logic.

Hence, the correct answer is " (125, 64, 117) ".

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