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Q.

What is the relation between the tens and units digits of the number of natural numbers between 3642 and 3652?

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a

Tens digit is four times the units digit.

b

Units digit is three more than the tens digit.

c

Units digit is four times the tens digit.

d

Tens digit is one more than thrice the units digit.

answer is A.

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Detailed Solution

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Let: n = 364 and n + 1 = 365
There are 2n non-perfect square numbers between n2 and (n + 1)2.

Number of natural numbers between 3642 and 3652 = 2n = 2 × 364 = 728
Units digit of 728 = 8
Tens digit of 728 = 2
We can say that the unit digit of the number of natural numbers between 3642 and 3652 is four times the tens digit of the same number.

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