Challenge Prelims V1.0 – Day 18 – CSAT Paper

1. Five friends P, Q, X, Y and Z purchased some notebooks. The relevant information is given below: (UPSC 2022)

1. Z purchased 8 notebooks more than X did.
2. P and Q together purchased 21 notebooks.
3. Q purchased 5 notebooks less than P did.
4. X and Y together purchased 28 notebooks.
5. P purchased 5 notebooks more than X did.

If each notebook is priced at Rs 40, then what is the total cost of all the notebooks?

2. The difference between squares of two integers is 36. Then how many such pairs are possible?

3. A ball dropped from a height bounces back 80% of initial height in the first bounce, 60% of its initial height in the second bounce, 40% of its initial height in the third bounce and so on. If the ball travelled a total distance of 100 m before it comes to rest, from what height the ball was dropped?

4. Gouri was asked to think of two numbers from 1 to 9 and to do certain operations as given in the following steps:

Step 1: First multiply one of the number by 5 and then add 5.

Step 2: Multiply the result of step-1 by 2 and then add 2.

Step 3: Finally add the second number to the result of Step-2.

Gouri did the above operations and finally obtained 74. Then which of the following is the numbers that she thought of?

5. In an objective exam of 80 questions, for every correct answer 2.5 marks are awarded and for every wrong answer one-third of the marks assigned to that question will be deducted as penalty. A student attempted 44 questions out of which 32 were right answers. If to qualify the exam, one needs to score 30% of the total marks, which of the following is true?