Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following sets.
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their 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.)
(7, 65)
(11, 145)
Option 1: (15, 140)
Option 2: (8, 82)
Option 3: (12, 168)
Option 4: (9, 70)
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Correct Answer: (8, 82)
Solution :
Given:
(7, 65); (11, 145)
The pattern is as follows –
(7, 65)→(7 + 1)
2
+ 1 = (8)
2
+ 1 = 64 + 1 = 65
(11, 145)→(11 + 1)
2
+ 1 = (12)
2
+ 1 = 144 + 1 = 145
Let's check the options –
First option:
(15, 140)→(15 + 1)
2
+ 1 = (16)
2
+ 1 = 256 + 1 = 257 ≠ 140
Second option:
(8, 82)→(8 + 1)
2
+ 1 = (9)
2
+ 1 = 81 + 1 = 82
Third option:
(12, 168)→(12 + 1)
2
+ 1 = (13)
2
+ 1 = 169 + 1 = 170 ≠ 168
Fourth option:
(9, 70)→(9 + 1)
2
+ 1 = (10)
2
+ 1 = 100 + 1 = 101 ≠ 70
So, only the second option follows the pattern as followed by the given pairs. Hence, the second option is correct.
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