Challenge Prelims V1.0 – Day 5 – CSAT Paper

1. Consider the following multiplication problem:

PQ × 9 = PPQ, Where P and Q are different digits and P,Q ≠ 0.

Then what is the value of P + Q ?

2. A four digit number needs to be formed using the digits from 1 to 9 with the following conditions:

1. Each digit is distinct.
2. The digit in the unit place is an even prime number.
3. The number is divisible by 4.
4. First digit from the left is neither a composite number nor a prime number.
5. The second digit from right is not a prime number.
6. The number is divisible by 11.

Then, what is the digit at the hundredth place of the number so formed?

3. Adheena started adding all the natural numbers from 1. When she stopped she got a sum of 1296. Later she realized that she added one number twice. Which of the following number did Adheena added twice?

4. A three digit number has 0 in its unit place. The difference between this number and the number formed by interchanging the first and second digit is 270. Then a possible value for the original number is?

5. Rahul typed numbers from 1 to 100. Later he found that the typewriter he used was defective and the keys for 1 and 2 was not working. Then what will be the total number of digits typed by Rahul?