[Download PDF] SRCC GBO 2012 Paper with Solutions

Instructions

Below are given three statements a, b and c followed by four conclusions. You have to take the given statements to be true even if they appear to be at variance with commonly, known facts, and then decide which of the conclusionslogically follow(s) from the given statements. For each question, mark out an appropriate answer choice that you think is correct.

Question 111

Statements:
a. All colleges are books.
b. Some colleges are students.
c. No chairs are books.
Conclusions :
I. Somestudents are chairs.
II. No colleges are chairs.
Ill. Some students are books.
IV. Some students are not en

Video Solution

Solution

We shall test each of the options and try to negate by coming up with a scenario where the particular conclusion won't hold true. If we cannot do that for a particular conclusion, that shall be the valid one.

1. Some students are chairs: We don't have any information about the connection between Books and Chairs. There can be an instance where students who are not books can come under the header of chairs. However, the other instance where chairs and students are disjoint sets can hold true as well. Hence, an invalid conclusion.

2. No college is a chair: Since it is clearly given that all colleges are books, and no book can be classified as a chair, we can definitely say that no college is a chair.

3. Some students are books: We know that all colleges are books, and at the same time, some students are college as well. Hence, we can definitely conclude that students which are classified as college are books as well.

4. Some students are not chairs: We definitely know that some students are college, which in turn are books. Further, it is also given that no book is a chair. Hence, students which are college cannot be chair.

Question 112

Statements:
a. Only stars are moons.
b. No cosmosis star.
c. No planets are moons.
Conclusions :
I. Some moonsare notplanets.
II. No moon is a cosmos.
III. No cosmosis a planet.
IV. No stars are planets.

Video Solution

Solution

Only stars are moons, which shall be interpreted in this way: All moons are stars.

We shall verify each option:

1. Some moons are not planets: Since we know that only stars can be classified as moons, it is always true that some moons are not planets.

2. No moon is a cosmos: We know that only stars are moons; this is again, a valid conclusion.

3. No cosmos is a planet: We have no relation given for planet and cosmos; hence, we cannot say for sure whether some cosmos are planets or not.

4. No star is a planet: We have no relation given for stars and planets. We only know that no planets are moons. However, there might or might not be stars which are not moon but are planet indeed.

Question 113

Statements :
a. some colleges are hospitals.
b. All hospitals are medicines.
c. Some medicines are machines.
Conclusions :
I. All hospitals are medicines.
II. Some colleges are medicines.
III. Some colleges are machines.
IV. Some colleges are not machines.

Video Solution

Solution

Testing each of the options:

1. All hospitals are medicines: This is directly given in the question.

2. Some colleges are medicines: We know that some colleges are hospitals, and all hospitals are medicines. Hence, the colleges which are hospitals are definitely medicines.

3 and 4: We don't have any relation given between colleges and machines. Hence, either of the statements shall hold true.

Question 114

Statements :
a. No bookis a plate.
b. Nochair is a plate.
c. Some chairs are bags.
Conclusions :
I Some bagsare plates.
II. Some bags are notplates.
III. No book is a chair.
IV. Some chairs are books.

Video Solution

Solution

We shall verify each of the options:

1. Some bags are plates: We don't have any relation given for bags and plates. Hence, an invalid conclusion.

2. Some bags are not plates: We know that some chairs are bags, and none of the chairs are plates. Hence, the chairs that come under bags are not plates. This is a valid conclusion.

3 and 4: We don't have any relation given about books and chairs, hence either of these shall be true.

Question 115

Statements:
a. No, hero is dancer.
b. some musicians are players.
c. All musicians are heros.
Conclusions:
I. Some dancers are not players.
II. No dancer is a musician.
III. Some players are heros.
IV. Some players are not dancers.

Video Solution

Solution

Let us verify each of the options:

1. Some dancers are not players: There can be an instance where players are a bigger set, only some of them fall within heroes and musicians, and in the rest of the set of players, all dancers are classified. Hence, this is an invalid conclusion.

2. No dancer is a musician: Since all dancers are heroes, and none of the dancers are heroes, we can say that none of the dancers are musicians.

3. Some players are heroes: Since some musicians are players, and all musicians are heroes, we can say the players that can be classified as musicians are heroes.

4. Some players are not dancers: Since some musicians are players, all musicians are heroes, and no dancer is a hero, we can say that players which are musicians are definitely not dancers.

Instructions

Six children P, Q, R, S, T and U, were all born on the same day of the year, but each was born in a different year during a single six-year period.
P is older than R.
Q is older than both S and T.
U is two years older than S.
P was born either in 2007 or in 2008.
The oldest children was born in 2005.

Question 116

If P is younger than S, all of the following must be true EXCEPT

Video Solution

Solution

We know:

P>R

Q>S and T

U>S (2 years)

P- 2007/2008

Oldest in 2005

Now, we can see that P is not the oldest. Hence, the oldest shall be either U or Q.

The birth years shall be: 2005, 2006, 2007, 2008, 2009, 2010.

Case 1: When the oldest is U

Hence, U (2005), S (2007), Q (2006), P (2008), R/T (2009/2010)

Case 2: When Q is the oldest

Hence, Q (2005), U (2006), S (2008), P (2007), R/T (2009/2010)

It has to be case 1, where P is younger than S. Hence, all the options must be true except for D, as either R or T can take 2009.

Question 117

If U is the oldest of the children, then which of the following must be true ?

Video Solution

Solution

We know:

P>R

Q>S and T

U>S (2 years)

P- 2007/2008

Oldest in 2005

Now, we can see that P is not the oldest. Hence, the oldest shall be either U or Q.

The birth years shall be: 2005, 2006, 2007, 2008, 2009, 2010.

Case 1: When the oldest is U

Hence, U (2005), S (2007), Q (2006), P (2008), R/T (2009/2010)

Case 2: When Q is the oldest

Hence, Q (2005), U (2006), S (2008), P (2007), R/T (2009/2010)

It is case 1 where U is the oldest. There, Q has to be from 2006.

Question 118

Which of the following could be a correctlisting of the children from the youngest to be oldest?

Video Solution

Solution

We know:

P>R

Q>S and T

U>S (2 years)

P- 2007/2008

Oldest in 2005

Now, we can see that P is not the oldest. Hence, the oldest shall be either U or Q.

The birth years shall be: 2005, 2006, 2007, 2008, 2009, 2010.

Case 1: When the oldest is U

Hence, U (2005), S (2007), Q (2006), P (2008), R/T (2009/2010)

Case 2: When Q is the oldest

Hence, Q (2005), U (2006), S (2008), P (2007), R/T (2009/2010)

Hence, the cases can be (youngest to oldest): R/T, P, S, Q, U or R/T, S, P. U, Q.

Question 119

If P is older than U, then in how many different orders could the six children have been born ?

Video Solution

Solution

We know:

P>R

Q>S and T

U>S (2 years)

P- 2007/2008

Oldest in 2005

Now, we can see that P is not the oldest. Hence, the oldest shall be either U or Q.

The birth years shall be: 2005, 2006, 2007, 2008, 2009, 2010.

Case 1: When the oldest is U

Hence, U (2005), S (2007), Q (2006), P (2008), R/T (2009/2010)

Case 2: When Q is the oldest

Hence, Q (2005), U (2006), S (2008), P (2007), R/T (2009/2010)

It is case 2 where P is older than U. And there, two cases can be made depending on the year of R/T.

Question 120

If T is older than S, which of the following must be true ?
I. Q was born in 2005.
II. T was born in 2006.
III. P was born in 2008.

Video Solution

CAT Content

SRCC GBO 2012

Statements: a. All colleges are books.b. Some colleges are students.c. No chairs are books.Conclusions : I. Somestudents are chairs.II. No colleges are chairs.Ill. Some students are books.IV. Some students are not en

Statements: a. Only stars are moons.b. No cosmosis star.c. No planets are moons.Conclusions : I. Some moonsare notplanets.II. No moon is a cosmos.III. No cosmosis a planet.IV. No stars are planets.

Statements : a. some colleges are hospitals.b. All hospitals are medicines.c. Some medicines are machines.Conclusions : I. All hospitals are medicines.II. Some colleges are medicines.III. Some colleges are machines.IV. Some colleges are not machines.

Statements : a. No bookis a plate.b. Nochair is a plate.c. Some chairs are bags.Conclusions : I Some bagsare plates.II. Some bags are notplates.III. No book is a chair.IV. Some chairs are books.

Statements: a. No, hero is dancer.b. some musicians are players.c. All musicians are heros.Conclusions: I. Some dancers are not players.II. No dancer is a musician.III. Some players are heros.IV. Some players are not dancers.

If P is younger than S, all of the following must be true EXCEPT

If U is the oldest of the children, then which of the following must be true ?

Which of the following could be a correctlisting of the children from the youngest to be oldest?

If P is older than U, then in how many different orders could the six children have been born ?

If T is older than S, which of the following must be true ?I. Q was born in 2005.II. T was born in 2006.III. P was born in 2008.

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Statements:
a. All colleges are books.
b. Some colleges are students.
c. No chairs are books.
Conclusions :
I. Somestudents are chairs.
II. No colleges are chairs.
Ill. Some students are books.
IV. Some students are not en

Statements:
a. Only stars are moons.
b. No cosmosis star.
c. No planets are moons.
Conclusions :
I. Some moonsare notplanets.
II. No moon is a cosmos.
III. No cosmosis a planet.
IV. No stars are planets.

Statements :
a. some colleges are hospitals.
b. All hospitals are medicines.
c. Some medicines are machines.
Conclusions :
I. All hospitals are medicines.
II. Some colleges are medicines.
III. Some colleges are machines.
IV. Some colleges are not machines.

Statements :
a. No bookis a plate.
b. Nochair is a plate.
c. Some chairs are bags.
Conclusions :
I Some bagsare plates.
II. Some bags are notplates.
III. No book is a chair.
IV. Some chairs are books.

Statements:
a. No, hero is dancer.
b. some musicians are players.
c. All musicians are heros.
Conclusions:
I. Some dancers are not players.
II. No dancer is a musician.
III. Some players are heros.
IV. Some players are not dancers.

If T is older than S, which of the following must be true ?
I. Q was born in 2005.
II. T was born in 2006.
III. P was born in 2008.