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Consider the following statements: 1. Two events are mutually exclusive if the occurrence of one event prevents the occurrence of the other. 2. The probability of the union of two mutually exclusive events is the sum of their individual probabilities. Which of the above statements is/are correct?
Consider a control unit generating the control signals. These control signals are divided into five mutually exclusive groups as shown below: Groups  G1  G1  G1  G1  G1 Control  Signals   3  7  10  12  2 How many bits are saved using the Vertical Micro-programmed instead of Horizontal Micro-programmed control unit?
City High School must put together a debating team consisting of four debaters.There are candidates of equal ability : X,Y and Z who are all seniors; and A,B,C and D who are all juniors..The school requires that there should be two seniors and two juniors in the team.It is also necessary that all of the debaters be able to work with one another. *Debaters Y and A cannot work together. *Debaters Z and C cannot work together. *Debaters A and B cannot work together. which of the following statements must be false? 1.Debaters Y and C are never selected together. 2.Debaters Z and D are never selected together. 3.Debaters Z and D are never selected together.
Some small cubes of same height 7 cm but variable length and width are put inside a large cuboid of height 21 cm. Length and width of cuboid is 32 cm and 24 cm, respectively. Small cubes are put such that cubes at the bottom most layer is of similar base area; second layer contains all the cubes of similar base area and third layer have all the cubes of similar base area. Which of the following statement(s) given below is / are TRUE? A: If side of each small cubes at bottom most layer is 8 cm, then maximum number of small cubes that can be put at bottom most layer is 12. B: If maximum of 48 cubes can be put at second layer, then side of each cube at second layer is 6 cm. C: If side of each small cubes at third layer is 1.6 cm, then maximum number of small cubes that can be put at third layer is 300.
Consider the following statements in respect of class intervals of grouped frequency distribution: 1. Class intervals need not be mutually exclusive. 2. Class intervals should be exhaustive. 3. Class intervals need not be of equal width. Which of the above statements are correct? 
Rohan put 9 cards on a table, some face up and the rest face down. How many were put face down? A. Rohan put an even number of the cards face up. B. Rohan put twice as many of the cards face up as he put face down. Select the correct answer from the options given below:
Consider the following statements about the residuary powers of the legislations:
1. The Parliament has exclusive power to make any law with respect to any matter not enumerated in List II or List III.
2. State Legislatures have exclusive power to make any law with respect to any matter enumerated in List-II.
3. The Parliament as well as State Legislatures have exclusive power to make any law with respect to any matter not enumerated in List II or List III.
Which of the statements given above is/are correct?
A government official said, “Currently, the traffic signals installed along the roads have a fixed signal timer but with the Japanese technology, signals will automatically change according to the number of vehicles along the road.” Which of the following could be the reason for the statement? I: The installation of smart signals will reduce the waiting time at signals and junctions. II: The installation of smart signals will solve the traffic woes in the city. III: The technology will be an integrated traffic management center that will ease congestion in the city.
A and B are two events. A and B are their complement events, respectively, such that AB and AB are two mutually exclusive and exhaustive events in which the event A can occur. Then which option is correct?
Which of the following are correct about complementary events? (A) Mutually exclusive (B) Independent (C) Such that their probabilities add up to 1. (D) Collective exhaustive. Choose the most appropriate answer from the options given below: