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There are 3 doors to a lecture room. In how many ways can a lecturer enter the room from one door and leave from another door ? 
There are 3 doors to a lecture room, In how many ways can a lecturer enter and leave the room?
There are six persons namely A, B, C, D, E and F. They all take leave from office on any one day of the week starting from Monday to Saturday. Only one person takes leave on one day. C is the first person to take a leave. Three persons take leave between D and C. F takes leave just after D. E takes leave on Wednesday. B takes a leave after A. Who takes a leave on Thursday?
Statements : All rods are bricks. Some bricks are ropes. All ropes are doors.

Conclusions :
I. Some rods are doors.
II. Some doors are bricks.
III. Some rods are not doors.
IV. All doors are ropes.
Six lectures A, B, C, D, E and F , each of one hour duration, scheduled between 8:00 am and 2:00 pm Consider the following question and two statements: Question: Which lecture is in the third period? Statement-1: Lecture F is preceded by A followed by C . Statement-2: No lecture after lecture B . Which of the following is correct regarding the question and the statements?
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 
In the question given below, there are three statements followed by three conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusion logically follow(s) from the given statements. Statements: All windows are doors. All buildings are doors. All doors are boats. Conclusions: I. All windows are boats. II. All buildings are boats. III. Some boats are doors.
Read the given statements and conclusions carefully. Assuming that the information given in the statement is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements:  Some pillows are doors. Some doors are beds. Conclusions: I. Some doors are pillows. II. All beds are doors.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: 1. All doors are teachers. 2. All teachers are cups. Conclusions: I. All cups are doors. II. All doors are cups. III. All teachers are doors. IV. Some cups are teachers.
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: I. Some chairs are doors. II. All doors are tables. Conclusion I: Some chairs are tables. Conclusion II: No doors are chairs. Conclusion III: Some tables are doors.