Question

Raj has a number in his mind. He gave the following clues to his friend Shashi to find that number.

1. Number is less than half of 40.
2. It is more than 1 tens and less than 2 tens.
3. The ones digit is 3 more than the tens digit.
4. Together, the digits have a sum of 5.

What is that number?

• A. 23
• B. 14
• C. 32
• D. 18

Answer 1

The correct option is B 14

1. Half of 40 is 20. So, the number is lesser than 20.

2. 1 tens is 10 and 2 tens is 20. So, the number lies between 10 and 20.

3. Between 10 and 20, all numbers starts from 1. So, the tens digit is 1. As, ones digit is 3 more than the tens digit, one digit will be 1 + 3, which is 4.
Therefore, the number is 14.

4. Together, the digits have a sum of 5. If we add 1 and 4 in 14 also, we get 5.

$\therefore$The number is 14.