Question 9

Which of the following three digit number will be second largest among them after 2 is subtracted from the middle digit of each number and the positions of the first and the third digits are interchanged ?

Solution

If first and third digits are interchanged and 2 is subtracted from middle digit. Then, the numbers become :

572 -> 255 [ 5 $$\leftrightarrow$$ 2 & 7-2 = 5]

853 -> 338 [ 8 $$\leftrightarrow$$ 3 & 5-2 = 3]

974 -> 459 [ 9 $$\leftrightarrow$$ 4 & 7-2 = 5]

368 -> 843 [ 3 $$\leftrightarrow$$ 8 & 6-2 = 4]

489 -> 964 [ 4 $$\leftrightarrow$$ 9 & 8-2 = 6]

$$\therefore$$ The second largest no. is 843 $$\Leftrightarrow$$ 368

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