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Aishwarya studies either computer science or mathematics everyday. If she studies computer science on a day, then the probability that she studies mathematics the next day is 0.6. If she studies mathematics on a day, then the, probability that she studies computer science the next day is 0.4. Given that Aishwarya studies computer science on Monday, what is the probability that she studies computer science on Wednesday?
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: Pipe A takes thrice the time taken by Pipe B to fill a tank. Together they can fill the tank in 15 hours, tank A and B is opened together for 4 hours and then Pipe A is closed and after 2 more hours Pipe B is closed and an outlet Pipe C is opened which when working alone can empty the tank in 10 hours. Calculate the time taken by C to empty the tank. Quantity B: A pipe A can fill the tank in 10 hours another pipe B can fill the tank in 15 hours and with the help of third pipe C they can fill the tank in 5 hours. Pipe A is opened for 4 hours then it is closed, pipe B is closed 3 hours before filling of tank and tank C is opened the whole time. Calculate the time taken to fill the tank
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: Pipe A takes thrice the time taken by Pipe B to fill a tank. Together they can fill the tank in 15 hours, tank A and B is opened together for 4 hours and then Pipe A is closed and after 2 more hours Pipe B is closed and an outlet Pipe C is opened which when working alone can empty the tank in 10 hours. Calculate the time taken by C to empty the tank. Quantity B: A pipe A can fill the tank in 10 hours another pipe B can fill the tank in 15 hours and with the help of third pipe C they can fill the tank in 5 hours. Pipe A is opened for 4 hours then it is closed, pipe B is closed 3 hours before filling of tank and tank C is opened the whole time. Calculate the time taken to fill the tank.
Given below are quantities named A,B and C. Based on the given information, you have to determine the relation between the quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer. Quantity A: Tap1 and Tap2 can fill the tank in 16 hours and 25 hours respectively. Both the taps opened together. After some time Tap 1 is closed and after that the tank is filled in 12 hours. In how many hour Tap 1 and 2 work together? Quantity B: Three taps 1, 2, 3 can fill a cistern in 10,14,18 hours respectively. If tap 1 is kept open all the time and tap 2 and 3 is opened alternatively for an hour then find in how many hours the tank will be filled? Quantity C: Two taps 1 and 2 are such that tap 1 fills the tank in 10 hours and tap2 empties it in 20 hours. If tap 1 is opened first and after 5 hours tap 1 is closed and tap 2 is opened, then the tank emptied in x hours and find the value of x?
In a class text, to the question, find out 23% of 200, two students answered in following ways:  Student A: 23% of 200 = 23% of (100 + 100) = 23 + 23 = (20 + 20) + (3 + 3) = 46  Student B: 23% of 200 = 200 × \(\frac{23}{100}\) = 2 × 23 = 46 Which of the following statements is the most appropriate in the given context? 1. Since student B has used the standard algorithm, teacher gives full marks to student B and zero to student A 2. Teacher gives full marks to both the students as they have attempted the question using their own algorithms. Both formal and informal algorithms are integral to solving problems in mathematics. 3. Teacher gives zero marks to student A and directs him to redo the question using the algorithm taught in the Class 4. Teacher accepts both the responses but directed student A to refrain from using informal algorithm 
Three clocks are designed to alarm in every hour, two hours and three hours respectively. If they all alarmed together three hours before, then after how many hours from now will they next alarm together? A. 3 hours B. 6 hours C. 2 hours D. 1 hours
Five students A, B, C, D and E are studying in different schools KNP, PAV, NTS, MAX and GUV, but not necessarily in the same order. Each one likes only one subject from the subjects Hindi, Mathematics, Science, Social Science and English. C studies in NTS. B does not like Social Science and Hindi. D likes English and studies in MAX. The student of PAV likes Math. E likes Hindi but is not from GUV or PAV. B studies in GUV. Which one of the following student studies in PAV school and likes Mathematics?
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity I: Pipe A alone can fill the tank in 15 hours while pipe B alone can empty the tank in 5 hours. There is a leakage at the bottom which also alone can empty the tank in 4 hours. When pipe A and Pipe B are open simultaneously then in how many hours the tank gets empty? Quantity II: 25 men can complete the work in 20 hours and 30 women can complete the work in 15 hours. If 15 men work for 10 hours then stopped working then remaining work gets completed by all 30 women. In what time total works get completed?
Seven people, Kamal, Nalini, Namrata, Sheela, Shakti, Arun and Sukanya, study three different subjects - Mathematics, Science and Physics in three different schools - P, Q and R. Less than two and no more than three people study the same subject. Less than two and not more than three people study in the same school. Namrata studies Mathematics in school P which has only one more student named Shakti. Kamal does not study in school R but he is a student of mathematics. Shakti and Sukanya study the same subject. Sheila studies physics in school R. Nalini is also a student of school R. Arun and Sukanya do not study in school R. Nalini and Shakti study science. Arun is a student of which subject?
A college offers two papers to a student such that if a student studies Philosophy, he or she must study French. One who studies History cannot choose Psychology. French students cannot study History. French students cannot opt for Spanish. Only History students can study Political Science. No Psychology student has opted for Sociology. If so, what other discipline will a Psychology student have to study?