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

(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 /subtracting /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.)

(6, 12, 228)

(8, 3, 515)

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SSC CPO 2022 Tier-I Official Paper (Held On 10 Nov 2022 Shift 1) [Answer Key]
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  1. (3, 28, 56)
  2. (13, 11, 172)
  3. (4, 18, 82)
  4. (9, 23, 119)

Answer (Detailed Solution Below)

Option 3 : (4, 18, 82)
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Detailed Solution

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The logic here follows is:

(1st number)3 + 2nd number = 3rd Number

1. (6, 12, 228)

63 + 12 = 228

⇒ 216 + 12 = 228

⇒ 228 = 228

2. (8, 3, 515)

⇒ 83 + 3 = 515

⇒ 512 + 3 = 515     

⇒ 515 = 515

By checking the options,

1. (3, 28, 56)

⇒ 33 + 28 = 56

⇒ 27 + 28 = 56

⇒ 55  56

2. (13, 11, 172)

⇒ 133 + 11 = 172

⇒ 2197 + 11 = 172

⇒ 2208 ≠ 172

3. (4, 18, 82)

⇒ 43 + 18 = 82

⇒ 64 + 18 = 82

⇒ 82 = 82

4. (9, 23, 119)

⇒ 93 + 23 = 119

⇒ 729 + 23 = 119

⇒ 752 ≠ 119

Hence the correct answer is (4, 18, 82).

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