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?
Leave your answers below.
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?
Leave your answers below.
Two fathers and two sons went fishing. Each caught exactly one fish and yet there were only three fishes caught. Why?
Leave your answers below.
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?
Leave your answers below.
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.
check out the complete CAT Syllabus
For latest CAT syllabus click here.
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?
Leave your answers below.
You are given a cake. One of its corner is broken. How will u cut the rest into two equal parts?
leave your answers below.
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?
Leave your answers below.
You have to draw 3 concentric circles with a line passing thru their center without lifting hand.
akbar said that one should get the ring back without climbing into the well. so,birbal... – 18May12
Really thanks .... hats of you ... please tell me such a important tricks of... – 18May12
Very nice – 16May12
Hey, i think the question ll be like : A and B separately can do... – 13May12