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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
    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/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)
    (1, 8, 3)
    (2, 21, 5)

    A.

    (5, 112, 11)

    B.

    (4, 33, 7)

    C.

    (2, 26, 3)

    D.

    (7, 128, 10)

    Correct option is B

    Logic: (1st number + 2nd number)×\times​ (2nd number - 1st number)
    Set I. (1, 8, 3)
    (1+3)×(31) =4×2 =8(1 + 3) \times(3-1)\\ \ \\ =4 \times2 \\ \ \\=8​​
    Set II. (2, 21, 5) 
    (2+5)×(52) =7×3 =21(2+5) \times(5-2)\\ \ \\=7\times3\\ \ \\=21 
    By option (a):  (5, 112, 11)
    (5+11)×(115) 16×6 96112(5 + 11)\times(11-5)\\ \ \\ 16 \times6\\ \ \\96\not=112 
    By option (b):   (4, 33, 7)
    (4+7)×(74) 11×3 33=33 Follows(4 +7)\times(7-4)\\ \ \\11\times3\\ \ \\33=33\ \text{Follows}  
    By option (c): (2, 26, 3)
    (2+3)×(32) 5×1 526(2+3)\times(3-2)\\\ \\5\times1\\ \ \\5\not=26
    By option (d):  (7, 128 ,10)
    (7+10)×(107) 17×3 51128(7+10)\times(10-7)\\ \ \\ 17 \times3\\ \ \\51\not=128 
    Thus, correct option is  (b).
    ​​​​

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