Question

Ramu and Venu are playing a game, and it has a secret number in it. Find their secret number by using the following clues?

1. It is larger than half of 100.
2. It is more than 6 tens and less than 7 tens.
3. The tens digit is one more than the ones digit.
4. Together, the digits have a sum of 11.

• A. 74
• B. 65
• C. 56
• D. 47

Answer 1

The correct option is B 65

1. Half of 100 is 50. So, the number is greater than 50.

2. 6 tens is 60 and 7 tens is 70. So, the number lies between 60 and 70

3. Between 60 and 70 all numbers starts from 6. So, the tens digit is 6. As, tens digit is one more than the ones digit, ones digit will be 5.
Therefore, the number is 65.

4. Together, the digits have a sum of 11. If we add 6 and 5 in 65, we get 11.

$\therefore$The secret number is 65.