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20 May, 21:41

Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.

How many numbers should he have listed?

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Answers (1)
  1. 21 May, 00:30
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    2 (option B)

    Question:

    Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.

    How many numbers should he have listed?

    a) 9 b) 2 c) 18 d) 20

    Step-by-step explanation:

    We would find the perfect squares that are two digit numbers

    For two digit perfect squares:

    Largest two digit number = 81 = 9²

    Smallest two digit number = 16 = 4²

    Total Two digit number perfect squares = Highest number - lowest number + 1

    = 9-4+1 = 6

    There are 6 two digit perfect squares

    Next, we have to find how many of them have 6 in their units place.

    The rule to be applied: If a number has 4 or 6 in the unit place, then its square has 6 in the units place.

    Following this, the possibilities are 4², 6².

    We have two of such numbers.

    Therefore, he would have listed 2 numbers.
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