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Question

# Shreya told Kamal few clues to find the secret number. 1. Number is less than half of 80. 2. It is more than 3 tens and less than 4 tens. 3. The ones digit is 2 less than the tens digit. 4. Together, the digits have a sum of 4. What is the secret number?

A
31
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B
13
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C
22
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D
40
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Solution

## The correct option is A 311. Half of 80 is 40. So, the number is lesser than 40. 2. 3 tens is 30 and 4 tens is 40. So, the number lies between 30 and 40. 3. Between 30 and 40, all numbers start from 3. So, the tens digit is 3. As, ones digit is 2 less than the tens digit, one digit will be 3 - 2, which is 1. Therefore, the number is 31. 4. Together, the digits have a sum of 4. If we add 3 and 1 in 31 also, we get 4. ∴The secret number is 31.

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