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Aptitude Questions : Polynomial Equations Interview Question

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Determine the value of z in the polynomials x^2-11x+z and x2-14x+2z such that these two polynomials have common factors.

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Aptitude Questions : Pirates Probability Brain Teaser

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You are stuck with the pirates who might even kill you on board. They give you a chance to survive. There are hundred black rocks and hundred red rocks. There are two empty sacks which are labelled as heads and tails respectively. You have to divide the rocks in two bags as per your wish. Then a fair coin will be flipped. If its heads, you will have to pick a rock on random from the sack labelled heads and if its tails, you will pick up from the tails sack. If you pick up a black rock, you will be freed and if you pick up a red rock, you will be killed.

How will you distribute the rocks so that your chances of survival are the best?

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Aptitude Questions : Famous Lion Tamer Interesting Puzzle

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You are trapped with a lion in a cage with 1 unit as its radius. Both you and the lion can run effortlessly at the speed of one unit.

1) The lion is quite hungry and all he wants is to catch you and eat you up. Will he be able to do that?
2) If yes, how long do you have till he does that?

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Aptitude Questions : Logic Problem Brain Teaser

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The world is facing a serious viral infection. The government of various countries have issued every citizen two bottles. You as well have been given the same. Now one pill from each bottle is to be taken every day for a month to become immune to the virus. The problem is that if you take just one, or if you take two from the same bottle, you will die a painful death.

While using it, you hurriedly open the bottles and pour the tablets in your hand. Three tablets come down in your hand and you realize they look exactly the same and have same characteristics. You can’t throw away the pill as they are limited and you can’t put them back or you may put it wrong and may die someday.

How will you ensure that you are taking the right pill?

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Aptitude Questions : Box Ball Logic Problem

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There are three bags.The first bag has two blue rocks. The second bag has two red rocks. The third bag has a blue and a red rock. All bags are labeled but all labels are wrong.You are allowed to open one bag, pick one rock at random, see its color and put it back into the bag, without seeing the color of the other rock.

How many such operations are necessary to correctly label the bags ?

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Aptitude Questions : Tricky Iq Question

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In a jar, there are some orange candies and some strawberry candies. You pick up two candies at a time randomly. If the two candies are of same flavor, you throw them away and put a strawberry candy inside. If they are of opposite flavors, you throw them away and put an orange candy inside.

In such manner, you will be reducing the candies in the jar one at a time and will eventually be left with only one candy in the jar.

If you are told about the respective number of orange and strawberry candies at the outset, will it be feasible for you to predict the flavor of the final remaining candy ?

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Aptitude Questions : Unique Brain Teaser

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It takes ten minutes to fry a steak (five minutes for each side). You are frying the steaks in a pan that can accommodate only two steaks at one time. What is the least amount of time by which you can fry all the three steaks you have?

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Aptitude Questions : Spatial Trivia Physics Puzzle

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As shown in picture, there are four gears with the following specification
* Gear A has 60 teeth
* Gear B has 40 teeth
* Gear C has 20 teeth
* Gear D has 60 teeth
* Every minute, Gear B makes 15 complete turns.

What is the relative speed of Gear A and Gear B?

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Aptitude Questions : Tricky Math Race Riddle

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Rooney, Hernandez, and Robin race each other in a 100 meters race. All of them run at a constant speed throughout the race.

Rooney beats Hernandez by 20 meters.
Hernandez beats Robin by 20 meters.

How many meters does Rooney beat Robin by ?

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Aptitude Questions : Weight Balance Riddle

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You can place weights on both side of weighing balance and you need to measure all weights between 1 and 1000. For example if you have weights 1 and 3,now you can measure 1,3 and 4 like earlier case, and also you can measure 2,by placing 3 on one side and 1 on the side which contain the substance to be weighed. So question again is how many minimum weights and of what denominations you need to measure all weights from 1kg to 1000kg.

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Aptitude Questions : Math IQ Question

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Adam is one of the finalist in an IQ championship. As the final test, he is provided with two hourglass. One of them can measure eleven minutes while the other one can measure thirteen minutes.
He is asked to measure exactly fifteen minutes using those two hourglasses. How will he do it ?

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