A man needed to pay his rent and was out of money, but found that his rent was worth about one gold link on his chain per day. What is the fewest number of cuts he can make in his 23-link chain to pay the rent for up to 23 days?
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While a red mark was placed on the forehead of each of three blindfolded women seated facing each other in a circle, they were told that the the mark might be either red or white. Upon removal of the blindfolds, each was to raise her hand if she saw at least one red mark, and then to take it down if she could logically deduce the color of her own mark. All three hands were quickly raised, but then one of them lowered her hand. How did she know?
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Three men were standing in a row, all facing the same direction, so that there was one in back who could see the two in front of him, one in the middle, and one in front who could not see either of the other two. There were three blue and two red hats. One hat was placed on each man, without them seeing which two were left over. Each man was told the total number of each color of hat. First the man in the back was asked if he could deduce what color hat he had on, but he said he couldn't. Neither could the man in the middle, when he was next asked. But then man in the front, who could see neither of those behind him but could hear their answers, correctly deduced by logic what color hat he was wearing. What color was it and why?
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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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Given below are very important updates posted by IIM Ahmedabad as FAQs. CAT will be held during the period Saturday, 28 November 2009 to Monday, 7 December 2009. Sale of vouchers starts on Wednesday, 9 September 2009 at designated bank branches and their associate outlets. The sale ends on Thursday, 1 October 2009. Online registration for CAT 2009 will also begin on Wednesday, 9 September 2009 and end on Thursday, 1 October 2009.
Q1: When is the advertisement for CAT 2009 going to appear?
A1: CAT Advertisement will appear in leading newspapers on Sunday, 30 August 2009.
Q2: Once the advertisement appears, is one expected to buy CAT bulletin from designated banks?
A2: No. One does not have to buy a bulky CAT bulletin. We want to go paperless. A prospective candidate buys a scratch-voucher from the designated bank branches, and, later registers online for CAT 2009.
Q3: When does the sale of voucher start and end?
A3: Sale of vouchers starts on Wednesday, 9 September 2009 at designated bank branches and their associate outlets. The sale ends on Thursday, 1 October 2009.
Q4: When and how do I register for CAT 2009 after buying the voucher?
A4: Online registration for CAT 2009 will also begin on Wednesday, 9 September 2009 and end on Thursday, 1 October 2009. Instructions on access to online registration will be given in the voucher, and, detailed registration instructions will be on the CAT website.
Q5: When will CAT be held and can I choose a test date?
A5: CAT will be held during the period Saturday, 28 November 2009 – Monday, 7 December 2009. Yes, you can choose a test date, session (morning/afternoon), and venue across thirty centres (cities) all over India, subject to availability.
Q6: Can you give more details on taking test in a CBT format?
A6: Starting Sunday, 30 August 2009, CAT website (www.catiim.in) will provide all the details.
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For any further information feel free to mail us at info@fireup.co.in .
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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 .
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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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