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To pass a test, a candidate needs to answer at least 2 out of 3 questions correctly. A total of 6,30,000 candidates appeared for the test. Question A was correctly answered by 3,30,000 candidates. Question B was answered correctly by 2,50,000 candidates. Question C was answered correctly by 2,60,000 candidates. Both questions A and B were answered correctly by 1,00,000 candidates. Both questions B and C were answered correctly by 90,000 candidates. Both questions A and C were answered correctly by 80,000 candidates. If the number of students answering all questions correctly is the same as the number answering none, how many candidates failed to clear the test?
A teacher organizes her class into the pair and gives a story of 18 sentences. One of the pairs has odd sentences (sentence 1, 3, 5,....) printed and other sentences blank while the other has even sentences (sentences 2, 4, 6,.....) and odd sentences blanks. Students in pairs have to read out the sentences mutually to each other and write to complete the story. This involves listening, speaking, reading and writing. What is this task known as?
The following sentences form a paragraph. The sentences are numbered as P, Q, R, S, and T. These sentences are not given in their proper order. Read the sentences and choose the right option out of five alternatives that correctly arrange the sentences in the correct sequence.  On the next morning, they found out that the transformer at the nearby substation had exploded with a horrific sound which they had heard in the night before.  Last night we were at the hostel when almost every boarder heard a monstrous sound.  However, there was no casualty and the fire fighting group had handled the situation in an adept manner.  But nobody went out as it was torrentially downpouring outside and also there was no power in the hostel premises.  Two days later, power was restored in the hostel upon installation of the new transformer and other accessories.
The following sentences form a paragraph. The sentences are numbered as P, Q, R, S, and T. These sentences are not given in their proper order. Read the sentences and choose the right option out of five alternatives that correctly arrange the sentences in the correct sequence.  In the opening set, Sheema scored very low and, therefore, lost the set with a massive difference of points.  But in the ongoing Interstate Competition, facing a stronger opponent she came to realize that she was wrong.  However, the game went on and the audience witnessed a tough fight between Sheema and the newcomer in the second set.  Though Sheema tried very hard putting all her efforts and energy, eventually she lost the game and got out of the tournament.  Badminton is a very interesting game which Sheema thought she had mastered and none could ever defeat her in it.
The following sentences form a paragraph. The sentences are numbered as P, Q, R, S and T. These sentences are not given in their proper order. Read the sentences and out of the five alternatives,  choose the right option that correctly arranges the sentences in the correct sequence.  Though the speech as a whole is captivating and edifying, his saying “women are not meant for appeasing her near and dear ones, they have their individuality and identity and they themselves should be aware of this fact.”  In his speech, he stresses on education, health, women empowerment and child care.  Rightly this speech is gaining popularity and is spreading like a wildfire.  But the question remains whether the widespread circulation of this speech be equally complemented with its objective of comprehensive awareness.  In a speech uploaded in the internet, we see our school teacher Rambabu addressing the masses from a stage.
The following sentences form a paragraph. The sentences are numbered as P, Q, R, S and T. These sentences are not given in their proper order. Read the sentences and out of the five alternatives,  choose the right option that correctly arranges the sentences in the correct sequence.  Therefore, on getting genuine information from the emissaries about their accurate places of location, the King asks his commander-in-chief to find them out and take them to custody.  The King has come to know about some separatists who are indulging in agitation and contempt against the king and his administration.  Being attacked in an unprecedented fashion, the inhabitants of this fortress succumbed to death  Accordingly the King’s soldiers attack the first identified fortress sheltering those equivocal masses.  With the opponents there totally decimated, the King’s soldiers are marching towards its nest bastion.
In an examination, a student can choose the order in which two questions (QuesA and QuesB) must be attempted. - If the first question is answered wrong, the student gets zero marks. - If the first question is answered correctly and the second question is not answered correctly, the student gets the marks only for the first question. - If both the questions are answered correctly, the student gets the sum of the marks of the two questions. The following table shows the probability of correctly answering a question and the marks of the question respectively.  question Probability of answering correctly marks QuesA 0.8 10 QuesB 0.5 20 Assuming that the student always wants to maximize her expected marks in the examination, in which order should she attempt the questions and what is the expected marks for that order (assume that the questions are independent)? 
The Prize that is awarded every two years to people who have worded for "Freedom of speech", is
If 75% students of a class answered the first question in a test correctly, 55% answered the second question correctly and 20% answered neither of the questions correctly, what percent answered both the questions correctly?
If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?