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

• No student is allowed to opt Physics and Astrophysics simultaneously

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

• Students of Physics course outnumber those of Mathematics

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

• B, C, D & E

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 E

5.

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

• It is possible to overcome any evil by educating people

Under the same fact situation as above, the alternatives suggested (not necessarily all), if true, significantly strengthen the argument. However, one of them is most forceful.
Identify the same.

• Espionage activities by enemy nations, which contribute to political turmoil, can be prevented only if the government is very strong

• The philosophy behind any economic policy, 'push from bottom, press from top' is to be followed to mitigate violence, and it is not observed

• Political turmoil is due to corrupt establishment

• Political turmoil is due to corrupt establishment

Exploitation of poor by rich can be stemmed only if the state exercises complete control over agriculture and industrial production. But state control is beset by two evils ; corruption and delay. The net result is that if man tries to escape from one evil, then he is trapped by another. Suffering, hence, is inescapable. The argument presented above seems to imply the following conclusions. Identify the one which is least dubious. Apply common sense.

• If agriculture and industrial production can be abolished, we can free ourselves from all forms of evil

• To avoid evil austere life shall be encouraged

• The gap between poor and rich can be bridged by heavily taxing the rich and passing on the largesse to the poor

• The gap between poor and rich can be bridged by heavily taxing the rich and passing on the largesse to the poor

That the human soul is immaterial is an undisputed fact. Significantly, what is not matter is not spatial and consequently, it is not vulnerable to motion. Evidently, no motion no dissolution. What escapes from dissolution is also free from corruptibility.
Therefore, the human soul is immortal. In this argument, one premiss is
missing. Complete the argument by choosing from the following :

• Nothing is free from dissolution

• What is incorruptible is immortal

• There is no motion

• There is no motion

Under the same fact situation as above, which one of the following, if true, affects seriously the argument presented above ?

• Matter is not bound by space

• Matter is indestructible

• Whatever exists is not necessarily affected by motion

• Whatever exists is not necessarily affected by motion

Protagonists of human rights vehemently oppose capital punishment. Their opposition stems mainly from three reasons. Firstly, man cannot terminate what he cannot generate. Secondly, the function of punishment is to reform the culprit. Thirdly, a culprit should be given an opportunity to repent. Admittedly, death penalty fails on all three counts. However, the defenders argue that a person is punished because he has to pay for his deeds. Reformation or repentance, according to them, is peripheral. Hence, death penalty is admissible
Which one of the following is the focus of this debate ?

• Man's rights and privileges

• Nature and purpose of punishment

• Prevention of crime

• Prevention of crime