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Study the following information to answer the questions given below: A company visited an Engineering college for placement drive where students of any branch can participate in the drive. But company put some eligibility criteria. 1) Student having no backlogs are eligible to participate in the drive. 2) Student having greater than 9.8 CGPA without any backlogs are eligible for direct interview round. 3) Student must have at least 70 percentage in 10th and 12th. If the 1st and 2nd criteria not fulfilled then, a) If student has 1 or 2 backlog and the result is awaiting but having a CGPA 8.5 then he has to participate in presentation round before the interview round. Sameer a Mechanical student is the topper of the college having 90 percentage in both 10th and 12th. But he is having a 1 backlog in his 4th semester and the result is awaiting. His CGPA is 8.8.
Consider the following statements:
1. Mandamus is available not only against judicial authorities but also against administrative authorities.
2. The writ of prohibition as well as certiorari are issued only against judicial or quasi-judicial authorities.
Which of the statements given above is/are correct?
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 
The students--- a protest march against the college authorities. (Fill in the gaps)
Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the total number of students in College Z? I. In college Z, 25% of total students are females and number of female students in College Z is equal to the number of male students in college Y. II. In college Y, total number of male students is 700 and 86% of total number of students are female students.
Direction : Two statements I and II are given. These statement may be either independent causes or may be effects of independent causes or a common cause. One of these statements may be the effect of the other statements. Read both the statements and decide which of the following answer choice correctly depicts the relationship between these two statements. Mark answer : I. The staff of Airport Authorities called off the strike they were observing in protest against privatization. II. The staff of Airport Authorities went on strike anticipating a threat to their jobs.
Direction : Two statements I and II are given. These statement may be either independent causes or may be effects of independent causes or a common cause. One of these statements may be the effect of the other statements. Read both the statements and decide which of the following answer choice correctly depicts the relationship between these two statements. Mark answer :

I. The staff of Airport Authorities called off the strike they were observing in protest against privatization.
II. The staff of Airport Authorities went on strike anticipating a threat to their jobs.
Statement : Lack of coordination between the University, its colleges and various authorities has resulted in students ousted from one college seeking migration to another.

Courses of Action :
I. If a student is ousted from a college, the information should be sent to all the other colleges of the University
II. The admissions to all the colleges of the University should be handled by the University directly.
III. A separate section should be made for taking strict action against students indulging in anti-social activities.
The question below is followed by three statements I, II and III. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer. How many runs Sachin scored against Kashmir? I. The difference between his score against Mumbai and against Delhi is equal to the difference between the score against Delhi and against Kashmir. II. The average run he scored against all three states Delhi, Kashmir and Mumbai is 100. III. He scored 25 runs more against Mumbai than Kashmir.
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?