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Consider the following statements in respect of sets: 1. The union over the intersection of sets is distributive. 2. The complement of the union of two sets is equal to the intersection of their complements. 3. If the difference between the two sets is equal to the empty set, then the two sets must be equal. Which of the above statements are correct?
A manufacturer of TV wants to make a profit of Tk. 300,000 on sale of 200 TV sets. It costs Tk. 10,000 each to make the first 100 TV sets and Tk. 7,500 each to make TV sets after the first 100 sets. What should be the selling price of each TV sets in Taka?
Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statement. Statement: All refrigerators are television sets. Some speakers are television sets. All speakers are fans. Conclusion: I. Some fans are television sets. II. Some television sets are refrigerators. III. No fans is a speaker
In the given question, a part of the sentence is printed in bold. Below the sentence, three alternatives to the bold part are given which may help improve the sentence. Choose the option that reflects the correct use of the phrase in the context of the sentence. In case the given sentence is correct, your answer is (E) i.e. No correction required. At first glance, it seems implausible that such an intricately engineered bio system such as our could have come about merely as a result of random modifications. i. such an intricately engineered bio system as ours ii. such intricately engineered bio system such as our iii. such intricately engineered bio system such as ours
At an Electronic Data processing unit, five out of the eight program sets P,Q,R,S,T,U,V and W are to be operated daily. On any one day, except for the first day of a month, only three of the program sets must be the ones that were operated on the previous day. The program operating must also satisfy the following conditions: 1. If program P is to be operated on a day, V can’t be operated on that day. 2. If Q is to be operated on a day, T must be one of the programs to be operated after Q. 3. If R is to be operated on a day, V must be one of the programs to be operated after R. 4. The last program to be operated on any day must be either S or U. If the program sets R and W are to be operated on the first day, which of the following could be the other program on that day?
In the question below, are given a passage followed by three courses of actions numbered I, II and III. On the basis of the information given, you have to assume everything in the statement to be true, and then decide which of the following suggested courses of actions logically follow(s) for pursuing. Passage: The high-speed rail network in the Mumbai- Ahmedabad Bullet train project is estimated to cost Rs 1.1 lakh crore including the purchase of 24 train sets, interest during construction and import duties. Japan is funding 81% of the total project cost, through a loan, at 0.1% interest. They are also the nation entrusted with constructing the network and Bullet trains. Courses of action: I. India must take more such loans from Japan for infrastructure development across the country. II. India should not spend such huge sums of money in such Infrastructure projects in future as we should tackle issues like Poverty instead. III. Every effort should be made to ensure Technology transfer from Japan so that we can become self-reliant for future projects.
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: India’s telecom watchdog has suggested regulation of all entities dealing with consumer data—devices such as iPhones, operating systems such as Android, browsers like Google’s Chrome and apps such as Facebook, Paytm, Uber or Zomato— by bringing them under licence conditions that apply to telecom service providers until a general data protection law is put in place by the government. Which of the following argument weakens the above statement in the best possible manner? Arguments: I. The Telecom Regulatory Authority of India (Trai) said the framework for protection of personal information is ‘not sufficient’ and that the issue of data ownership, privacy, and security is complex and multi-dimensional. It suggested expanding the ambit of licence conditions governing telcos to all entities handling customer information and empowerment of customers to keep their data secure. II. The telecom watchdog further said that individual users owned their data, or personal information, and entities such as devices were ‘mere custodians’ and do not have primary rights over that information. III. Telcos and internet service providers (ISPs) though welcomed recommendations that sought to bring app makers under the same regulations. However, content providers have been opposed to being brought under more regulation. 
The given bar chat represents the Televisions Sets (TV) manufactured (in thousands) and the respective percentage of those TV Sets sold by five different companies A, B, C, D and E in 2015. Study the chart carefully and answer the question that follows. What is the ratio of the number of TV sets sold by company A to that of company B in 2015?
A manufacturer of TV wants to make a profit of Tk. 3,00,000 on sale of 200 TV sets. It costs Tk. 10000 to make each of the first 100 TV sets and Tk. 7500 make each TV set after the first 100 sets. What should be the selling price of each TV set?
Two statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All beds are sofa sets. Some sofa sets are mattresses. Conclusions: I. Some sofa set are beds. II. Some mattresses are sofa sets.