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

(7, 11, 72)

(5, 8, 39)

(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)

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 1)
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  1. (4, 7, 33)
  2. (2, 3, 1)
  3. (5, 2, 23)
  4. (5, 6, 13)

Answer (Detailed Solution Below)

Option 1 : (4, 7, 33)
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Detailed Solution

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The pattern followed in the given sets is:
    (First term + Second term) × (Second term - First term) = Third term

Now we apply the pattern on the given sets:
(7, 11, 72)
(7 + 11) × (11 - 7) = 72
18 × 4 = 72 
72 = 72

(5, 8, 39)
(5
 + 8× (8 - 5) = 39
13 × 3 = 39
39 = 39

Now we apply the pattern on the given options:
Option 1) (4, 7, 33)
(
4 + 7× (7 - 4) = 33
11 × 3 = 33 
33 = 33

Option 2) (2, 3, 1)
(2
 + 3× (3 - 2) = 1
5 × 1 = 1
5  1

Option 3) (5, 2, 23)
(
5 + 2× (5 - 2) = 23
7 × 3 = 23
21  23

Option 4) (5, 6, 13)
(
5 + 6× (6 - 5) = 13
11 × 1 = 13
11  13

Hence the correct answer is option 1)

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