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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?
The following question has three statements. Study the question and the statements and decide which of the statement (s) is/are necessary to answer the question. What is the first term of the arithmetic progression? I) The difference between the 16th term and 9th term of an arithmetic progression is 49. II) The average of 12 terms of an arithmetic progression is 40.5. III) The common difference is 5 more than the first term of the arithmetic progression.
In 2011, the arithmetic mean of the annual incomes of Ramesh and Suresh was Rs. 3800. The arithmetic mean of the annual incomes of Suresh and Pratap was Rs. 4800, and the arithmetic mean of the annual incomes of Pratap and Ramesh was Rs. 5800. What is the arithmetic mean of the incomes of the three?
Consider the following regarding the drawbacks of BCD arithmetic over binary arithmetic : 1. Perform arithmetic operations indirectly on decimal data. 2. Take more time for execution. 3. Less efficient use of memory. 4. Small number of computations are required. Which of the above drawbacks are correct ?  
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)? 
Sohana's mathematics test had 75 problems i.e. 10 arithmetic, 30 algebra and 35 geometry problems each carrying I mark She answered 70% of the arithmetic, 40% of the algebra and 60% of the geometry problems correctly. She did not pass the test as she got less than 60% marks. How many more questions she would have needed to answer correctly to earn a 60% passing grade?
What does 'Hierarchy of Authority' means?
1. The lower levels have to pursue the goals laid down by higher levels.
2. The upper levels of hierarchy set the goals to be pursued.
3. The upper level can not take disciplinary action against subordinates.
4. The lower levels have freedom to carry out the operations.
Select the correct answer:
Ten new television shows appeared during the month of September. Five of the shows were sitcoms, three were hour-long dramas, and two were news-magazine shows. By January, only seven of these new shows were still on the air. Five of the shows that remained were sitcoms.
The question given below consists of a statement, followed by three arguments numbered I, II and III. You have to decide which of the arguments is/are ‘strong’ arguments and which is/are ‘weak’ arguments and accordingly choose your answer from the alternatives given below each question. Statement: The imposition of Governor’s rule in Jammu and Kashmir will not affect operations in the state, according to Army Chief General, even as security forces are looking at higher intensity of operations against terrorists, to force them to ‘hibernate’. These operations will be based on greater level of intelligence from the J&K Police, as compared to what was being generated during the suspension of operations for the holy month of Ramzan. A challenge, however, for the security forces still remains the recruitment of local terrorists. Why? Arguments: I. Meanwhile, data shared by security forces reveal that there are about 210 terrorists currently operating in Kashmir, mainly in the South. Out of this, 65 per cent are locals and the remaining are foreign terrorists.  II. In South Kashmir itself, the maximum number of terrorists belong to the HizbulMujahideen, while some are from the Lashkar-e-Toiba and Jaish-e-Mohammed. III. When a local terrorist is killed during an operation, at his funeral more locals are willing to join terrorism. It is a mob mentality.
In 2007, the arithmetic mean of the annual incomes of Rahim and Karim was Taka 3800 . The arithmetic mean of the annual incomes of Karim and Ripon was Ripon and Rahim was TaKa5800. What is the arithmetic mean of the incomes of the three ?