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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
Question

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 / 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)
(7,127,6)(7,127,6)
(8,129,5)(8,129,5) ​​​

A.

(9,168,3)(9,168,3)​​

B.

(10,156,4)(10,156,4)​​

C.

(11,144,9)(11,144,9)​​

D.

(13,131,5)(13,131,5)

Correct option is B

Given:
(7,127,6)(7,127,6)
(8,129,5)(8,129,5)
Logic: Square number of 1st and 3rd number and then multiply 1st & 3rd number and then add the resultant.
Explanation:
(7,127,6): 7×7=49,  6×6=36
                     7×6 = 42
Then, add 49+36+42 = 127
(8,129,5): 8×8= 64, 5×5=25
                 8×5 = 40
Then, add 64+25+40 = 129
Similarly,
Option A.) (9,168,3): 9×9=81, 3×3=9
                   9×3=27
Then, add 81+9+27= 117(Does Not follow)
Option B.) (10,156,4): 10×10=100, 4×4=16
                         10×4= 40
Then add, 100+16+40= 156(Follows)
Option C.) (11,144,9): 11×11=121, 9×9=81
                  11×9=99
Then, add 121+81+99 = 301(Does not follow)
Option D.) (13,131,5): 13×13=169, 5×5=25
                     13×5=65
Then, add 169+25+65 = 259(Does not follow)
Thus, Option B is the correct answer.



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