Two fathers and two sons went fishing. Each caught exactly one fish and yet there were only three fishes caught. Why?
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A drawer contains 10 black and 10 brown socks that are all mixed up. What is the fewest number of socks you can take from the drawer without looking and be sure to get a pair of the same color?
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Vedic Maths Tricks:
Multiplying 5 Times an Odd Number: Subtract one from the number you are multiplying, then halve that number and place a 5 after the resulting number.
Example: 343 * 5 = (343-1)/2 | 5 = 1715
Critical reasoning Concepts:
Basic Orientation of Critical Reasoning:
Intellectual Responsibility:
Adults are responsible for the things they do, and this includes thinking clearly and carefully about things that matter. This is hard work and no one succeeds at it completely, but it is part of the price for being in charge of your life.
In addition to thinking for ourselves, it is important to think well. This means basing our reasoning on how things are, rather than how we wish they were. It means being open to the possibility that we are mistaken, not allowing blind emotion to cloud our thought, and putting in that extra bit of energy to try to get to the bottom of things.
This doesn't mean that we should constantly be questioning everything. Life is too short and busy for that. But in many cases successful action requires planning and thought. It is also desirable to reflect on our most basic beliefs from time to time, and the college years are an ideal time for this. In the end you may wind up with exactly the same views that you began with. But if you have thought about them carefully, they will be your own views, rather than someone else's.
For more Tricks on Vedic Maths
For CAT Preparation
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Unwarranted Assumptions
With data sufficiency problems, be careful not to read any more into a statement than what is given. The main purpose of some difficult problems is to lure you into making an unwarranted assumption.If you avoid the temptation, these problems can become routine.
Example: Did Incumbent I get over 50% of the vote?
(1) Challenger C got 49% of the vote.
(2) Incumbent I got 25,000 of the 100,000 votes cast.
Solution:
If you did not make any unwarranted assumptions, you probably did not find this to be a hard problem. What makes a problem difficult is not necessarily its underlying complexity; rather a problem is classified as difficult if many people miss it. A problem may be simple yet contain a psychological trap that causes people to answer it incorrectly. The above problem is difficult because many people subconsciously assume that there are only two candidates. They then figure that since the challenger received 49% of the vote the incumbent received 51% of the vote. This would be a valid deduction if C were the only challenger. But we cannot assume that. There may be two or more challengers. Hence, (1) is insufficient.
Now, consider (2) alone. Since Incumbent I received 25,000 of the 100,000 votes cast, I necessarily received 25% of the vote. Hence, the answer to the question is ‘No, the incumbent did not receive over 50% of the vote.’ Therefore, (2) is sufficient to answer the question. The answer is B.
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Some tricks for faster calculation:
1. Multiplying 5 times an even number: halve the number you are multiplying by and place a zero after the number.
Example:
i. 5 * 136, half of 136 is 68, add a zero for an answer of 680.
ii. 5 * 874, half of 874 is 437; add a zero for an answer of 4370.
2. Multiplying 5 times an odd number: subtract one from the number you are multiplying, then halve that number and place a 5 after the resulting number.
Example:
i. 343 * 5 =(343-1)/2 | 5 = 1715 .
For latest CAT syllabus click here.
If one tyre of your car suddenly gets stolen.... and after sometime you find the Tyre without the screws how will you make your journey complete?
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You are given a cake. One of its corner is broken. How will u cut the rest into two equal parts?
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You are a landscape designer and your boss asked u to design a landscape such that you should place 4 trees equidistance from each other (Distance from each tree to the other must be same). How will your do that?
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You have to draw 3 concentric circles with a line passing thru their center without lifting hand.
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