A college received fifty applications for a certain course. In the qualifying examination, one-tenth of them secured marks in 90-95% range. Within remaining segment, threefifths of them secured marks in 75-90% range. The rest secured below 75%. To get admission, the following restrictions hold good

• No student who has scored below 75% can seek admission to Physics course.

• No student is allowed to opt Physics without opting Mathematics

• No student is allowed to opt Physics and Astrophysics simultaneously

• To opt Mathematics or Astrophysics, a student should have scored at least 70% in the qualifying examination

Which one of the following alternatives is possible ?

• Ninety percent of the applicants are admitted to Physics course

• Thirty-five percent of the applicants who are otherwise ineligible to join Physics course are admitted to Mathematics and Astrophysics course.

• Students of Physics course outnumber those of Mathematics

• Whoever is eligible to study Mathematics is also eligible to study Physics.

Under the same fact situation as above, suppose that the following restrictions hold good:
A) A can be included provided C is included.
B) E is included provided B or G is included but not both.
C) C can be included provided at least D or F is excluded. Which one of the following is a certainty ?

• A, B, C, & E

• A, C, D & F

• B, C, D & E

• A,B,C&F

Four members have to be nominated to a Committee and there are six candidates: A, B, C, D, E and F. The following restrictions hold good :
If A is nominated, then D does not find any place
If B is nominated, then either E or F has to be nominated, but not both
If C is nominated, then both D and E have to be nominated. Which one of the following is an acceptable combination ?

• A, B, C and E

• A, B, C and D

• B, C, D and E

• B, C, D and F

Political turmoil in a country is mainly caused by widespread violence and flawed economic policies of successive governments. If at all this has to be crushed, it can be achieved only by a dictatorial government which rules with iron hand. Therefore, the need of the hour is to elect a government which imposes fresh set of stringent legislations. The alternatives suggested (not necessarily all), if true, considerably weaken the argument.
However, one of them is most forceful. Identify the same.

• It is not the imposition of new legislations which is required, but effective adherence to the existing legislations

• That government is the best government which governs least.

• It is possible to overcome any evil by educating people

• Only dialogue in a free society can eradicate political turmoil.