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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?
In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even ifthey seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statements:
(I) Empty set is a subset of any set.
(II) A set is a subset of power set. Conclusion:
(I) Empty set is a power set.
(II) A set is a subset of power set.
A, B, C and D are four sets such that A ∩ B = C ∩ D = ϕ. Consider the following: 1. A ∪ C and B ∪ D are always disjoint. 2. A ∩ C and B ∩ D are always disjoint. Which of the above statements is/are correct?
Two sets are called disjoint if the ________ is an empty set.
There are two water taps in a tank which can fill the empty tank in 12 hours and 18 hours respectively. It is seen that there is a leakage point at the bottom of the tank which can empty the completely filled tank in 36 hours. If both the water taps are opened at the same time to fill the empty tank and leakage point was repaired after 1 hour, then in how much time the empty tank will be completely filled?
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?
There are two sets given below in which Set I offers types of learner's characteristics and Set II gives their description. Match the two sets:   Set I (Learner’s   Characteristics)    Set II (Description) a. Academic Characteristics i. Learner encodes and decodes relevant messages correctly b. Social Characteristics ii. Learner selects different themes in his/her course when needed c. Emotional Characteristics iii. Learner works as a team member of the peers d. Cognitive Characteristics iv. Learner starts respecting the individual differences evident in likes and dislikes of members of his class Choose the correct answer from the following options:
There are two sets given below in which Set I offers types of Research and Set II gives their description. Match the two sets: SET I SET II (Types of Research) (Description) a) Fundamental Research (i) In-depth study with focus on typicalities b) Applied Research (ii) Intervention based ameliorative moves c) Action Research (iii) Exploring applicability of truths/principles to new situations d) Case Study Research (iv) Impact studies to watch effects   (v) Adding to corpus of knowledge by formulating theory Choose the correct answer from the following options:
Processes P1 and P2 have a producer-consumer relationship, communicating by the use of a set of shared buffers. P1: repeat                 Obtain a full buffer                 Empty it                 Return an empty buffer forever P2 P2P2: repeat             Obtain a full buffer             Empty it             Return an empty buffer          forever Increasing the number of buffers is likely to do which of the following? I. Increase the rate at which requests are satisfied (throughput) II. Decrease the likelihood of deadlock III. Increase the ease of achieving a correct implementation 
Below are given two sets in which Set I gives the named theory of Intelligence which set II indicated their main proponents and contentions associated with the theory. Match the two sets. Set I (Theory of Intelligence) Set II (The main proponents and contentions) (a) Multiple Factor Theory (i) Sternberg, intelligence can be taught and the classroom is the logical place to teach it. (b) Theory of Multiple Intelligence (ii) Cattell, intelligence is neither completely monarchic, nor oligarchic nor anarchic. (c) Theory of Fluid and Crystallized Intelligence (iii) Thurstone, intelligence is oligarchic in nature. (d) Coping Theory of Intelligence (iv) Gardner, intelligence is a capacity with component processes and should not be confused with a learning or cognitive style.   Choose correct answer from following.