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Question

# Akhil wants to open the locker. He needs a secret number to open it. Vimal gave the following clues to Akhil, to find the secret number. What is the secret number? 1. Number is less than half of 100. 2. It is more than 2 tens and less than 3 tens. 3. The ones digit is 5 more than the tens digit. 4. Together, the digits have a sum of 9.

A
45
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B
27
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C
18
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D
17
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Solution

## The correct option is B 271. Half of 100 is 50. So, the number is lesser than 50. 2. 2 tens is 20 and 3 tens is 30. So, the number lies between 20 and 30 3. Between 20 and 30, all numbers start from 2. So, the tens digit is 2. As, ones digit is 5 more than the tens digit, one digit will be 2 + 5, which is 7. Therefore, the number is 27. 4. Together, the digits have a sum of 9. If we add 2 and 7 in 27 also, we get 9. ∴The secret number is 27.

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