**SAMPLE Q1. Ram moves 4 metres. in south direction then he moves 3 metres. in east direction. How far is he from the starting point?**

**a) 5 metres**

**b) 1 metre**

**c) 3 metres**

**d) 4 metres**

Solution: This is a very basic mathematical question of standard 8^{th} which can be solved by using **Pythagoras Theorem**. In the question it is given that from a certain position Ram is moving 4m towards south direction. And from there he is moving 3m towards east direction. We need to find the shortest distance between the initial position, from where he started moving, and his final position, where he reached after covering 3m towards east.

**Sample Q2. Find the number of Trout in the tank!**

**Trout are bred in a tank as fish for restaurants. Twenty trout are caught and each is tagged through the tail then released back into the tank. A week later, thirty trout are caught and it is found that two of them have a tail tag.**

**Based on this evidence alone, what estimate can be made of the total number of trout in the tank ?**

*1) 100*

* 2) 300*

* 3) 600*

* 4) 1200*

Ans: Out of thirty trouts randomly picked, two are found to be having the tail tag. Going by the probability (2/30), the next 30 trouts caught would have 2 with tags and so on. To accomodate 20 tagged trouts the total number of trouts in the tank could be 30*10 or 300. [Linear extrapolation]. **Option 2.**

**Sample Q3. Linguist Set theory question!**

** A gathering of 50 linguists discovered that 4 knew Kannada, Telugu and Tamil, 7 knew only Telugu and Tamil, 5 knew only Kannada and Tamil, 6 knew only Telugu and Kannada. If the number of linguists who knew Tamil is 24 and those who knew Kannada is also 24, how many linguists knew only Telugu?**

**A) 9**

**B) 10**

**C) 11**

**D) 8**

**Ans:**

We can attempt the set- based question step by step as shown below:

The ‘x’ in Step 3 can be calculated as:

50 – ( 7 + 8 +4 +5 +6 +9) = 11. **Option C.**

**Miscellaneous Aptitude Practice Questions (Solved) **

**Grade 9 Level – PSA Aptitude Questions (Solved)**

**Grade 11 Level – PSA Aptitude Questions (Solved)**

**H.O.T.S ( Higher Order Thinking Skill)**

*Higher order thinking skills or more popularly known as H.O.T.S section will involve questions which are one level above than PSA’s or usual aptitude questions but are definitely worth practising once fundamentals are in place! This is also in line with our 5th Law of Quantitative Aptitude Exam preparation. So, here you go!!!*

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