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Translate the following statement into FOL. “For every a, if a is a PhD student, then a has a master degree”
Directions : In each of the following questions a statement is given, followed by two conclusions. Give answer : Statements : The eligibility for admission to the course is minimum second class Master's degree. However, the candidates who have appeared for the final year examination of Master's degree can also apply. Conclusions : I. All candidates who have yet to get their Master's degree will be there in the list of selected candidates. II. All candidates having obtained second class Master's degree will be there in the list of selected candidates.
Directions : In each of the following questions a statement is given, followed by two conclusions. Give answer :

Statements : The eligibility for admission to the course is minimum second class Master's degree. However, the candidates who have appeared for the final year examination of Master's degree can also apply.

Conclusions :
I. All candidates who have yet to get their Master's degree will be there in the list of selected candidates.
II. All candidates having obtained second class Master's degree will be there in the list of selected candidates.
Let D be a simple graph on 10 vertices such that there is a vertex of degree 1, a vertex of degree 2, a vertex of degree 3, a vertex of degree 4, a vertex of degree 5, a vertex of degree 6, a vertex of degree 7, a vertex of degree 8 and a vertex of degree 9. What can be the degree of the last vertex?
Study the following statements.i) The displacement method is more useful when degree of kinematic indeterminacy is greater than the degree of static indeterminacy.ii) The displacement method is more useful when degree of kinematic indeterminacy is less than the degree of static indeterminacy.iii) The force method is more useful when degree of static indeterminacy is greater than the degree of kinematic indeterminacy.iv) The force method is more useful when degree of static indeterminacy is less than the degree of kinematic indeterminacy.The correct answer is
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 
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.
The rear window of an automobile is made of thick glass i.e. AB = 5 mm and thermal conductivity is 0.8 W/m degree. To defrost this window, a thin transparent film type heating element has been fixed to its inner surface. For the conditions given below, determine the electric power that must be provided per unit area of window if a temperature 5 degree Celsius is maintained at its outer surface. Interior air temperature and the corresponding surface coefficient are 20 degree Celsius and 12 W/m2 degree. Surrounding air temperature and the corresponding surface coefficient are – 15 degree Celsius and 70 W/m2 degree. Electric heater provides uniform heat flux
In a school, every student is assigned a unique identification number. A student is a football player if and only if the identification number is divisible by 4, whereas a student is a cricketer if and only if the identification number is divisible by 6. If every number from 1 to 100 is assigned to a student, then how many of them play cricket as well as football?
A person working as an assistant in your lab comes from a low-income family and is really keen to do a PhD. How would you best assist her in taking her to the PhD program of your institute?