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

(37, 42, 126)

(21, 26, 78) 

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SSC JE Mechanical 14 Nov 2022 Shift 2 Official Paper
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  1. (24, 30, 90) 
  2. (30, 36, 118) 
  3. (33, 38, 114)
  4. (28, 35, 110) 

Answer (Detailed Solution Below)

Option 3 : (33, 38, 114)
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Detailed Solution

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The pattern followed in the given series is:
  First term × 2 + Second term + 10 = Third term

Now we apply the pattern on the given sets:
(37, 42, 126)
37 × 2 + 42 + 10 = 126
74 + 42 + 10 = 126
126 = 126

(21, 26, 78) 
21 × 2 + 26 + 10 = 78
42 + 26 + 10 = 78
78 = 78

Now we apply the pattern on the given options:
Option 1) (24, 30, 90) 
24 × 2 + 30 + 10 = 90
48 + 30 + 10 = 90
88  90

Option 2) (30, 36, 118) 
30 × 2 + 36 + 10 = 118
60 + 36 + 10 = 118
106  118

Option 3) (33, 38, 114)
33 × 2 + 38 + 10 = 114
66 + 38 + 10 = 114
114 = 114

Option 4) (28, 35, 110) 
28 × 2 + 35 + 10 = 110
56 + 35 + 10 = 110
101  110

Hence, the correct answer is "option (3)".

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