A teacher thinks of a number and asks her class to guess it. She writes some clues on the board: a) the number is between 3500 and 3600.b)it has two distinct digits. c)digits in the hundreds place and tens place are different.d) the number is odd.What is the number? *
Answers
Answer:
3544
Step-by-step explanation:
- The number is between 3500 & 3600
- The number consists of ONLY TWO DISTINCT (different) digits
- The digits in hundreds place and tens place are different
- The number is odd
Given : A teacher thinks of a number and asks her class to guess it.
She writes some clues on the board:
a) the number is between 3500 and 3600.
b)it has two distinct digits.
c) digits in the hundreds place and tens place are different.
d) the number is odd.
To Find : the number?
Solution:
a) the number is between 3500 and 3600.
can be 35AB where A and B represent digits
Number has two distinct digits.
which already are 3 and 5
Hence A and B must be one of 3 or 5
digits in the hundreds place and tens place are different.
Digit in Hundred place = 5
=> Digit in Tens place = 3
Hence 353B
Number is odd
so Number can be 3533 or 3535
3533 and 3535 are the numbers which satisfy all the given condition
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