Data Suffciency Question Discussions for CAT 2012

Hi all Please carry forth the discussions on Data Sufficiency for CAT 2012 and other MBA exams for the upcoming season here. Link to thread of last year: PaGaLGuY - MBA Community - PaGaLGuY Community

Hi all

Please carry forth the discussions on Data Sufficiency for CAT 2012 and other MBA exams for the upcoming season here.

Link to thread of last year: http://www.pagalguy.com/discussions/data-suffciency-thread-for-cat-2011-25070785

All the best to all!

Nobody posting here?????

Question- among the Five contestants A, B, C, D, and E who participate in a competition who gets the maximum votes?
the number of judges who voted is different for each participant and no judge voted for only one.
1) all judges voted for either A or E also voted for C.
2) only the judges who voted for B and C voted for D. Every judge who voted for B voted for A and E.

options-1- answered by one
2- can be answered by either statement alone
3- using two statements
4- cannot be answered by using both the statements

Option 1 : 2nd statement alone is enough

vkatmu Says
Option 1 : 2nd statement alone is enough

Question- among the Five contestants A, B, C, D, and E who participate in a competition who gets the maximum votes?
the number of judges who voted is different for each participant and no judge voted for only one.
1) all judges voted for either A or E also voted for C.
2) only the judges who voted for B and C voted for D. Every judge who voted for B voted for A and E.

options-1- answered by one
2- can be answered by either statement alone
3- using two statements
4- cannot be answered by using both the statements

My Take -

c>a and c>e (from 1) - Nothing can be said using this.

b >d and c>d (From statement 2nd)
Also, a>b e>b (From 2) - Nothing can be said using this statement alone also.

But using both the statements=>
"c gets highest number of votes"

5. The question given below is followed by two statements, A and B. Mark the answer using the
following instructions:
Mark (a) if the question can be answered by using either statement alone.
Mark (b) if the question can be answered by using one of the statements alone, but cannot be
answered by using the other statement alone.
Mark (c) if the question cannot be answered even by using both the statements together.
Mark (d) if the question can be answered by using both the statements together, but cannot be
answered by using either statement alone.
Q. Each student in a class opts for one of the two foreign languages - French and Spanish. Six
boys opt for French and eight girls opt for Spanish. What is the maximum possible number of girls
who opt for French?
A. The total number of students in the class is 35.
B. The students who opt for Spanish are fewer than the students who opt for French.

5. The question given below is followed by two statements, A and B. Mark the answer using the
following instructions:
Mark (a) if the question can be answered by using either statement alone.
Mark (b) if the question can be answered by using one of the statements alone, but cannot be
answered by using the other statement alone.
Mark (c) if the question cannot be answered even by using both the statements together.
Mark (d) if the question can be answered by using both the statements together, but cannot be
answered by using either statement alone.
Q. Each student in a class opts for one of the two foreign languages French and Spanish. Six
boys opt for French and eight girls opt for Spanish. What is the maximum possible number of girls
who opt for French?
A. The total number of students in the class is 35.
B. The students who opt for Spanish are fewer than the students who opt for French.


(b) the question can be answered by using one of the statements (the first one) alone, but cannot be answered by using the other statement alone.

Drawing a venn diagram, the unknown fields are Spanish boys and French girls. For maximum possible French girls we can take Spanish boys as 0. Knowing the total number of students, we can get the answer as 21 (35 - 8 - 6).
With statement two alone we cant solve the question.

Ya b is the correct ans.

Can any body can help me solving this question of data sufficiency
Mark: A if question can be answered using one of the statements alone but cant be answerd using the other statement alone
Mark: B if question can be answered using either of the statements alone.
Mark : C if question can be answered using both statements together but cant be answered using either of the statements alone.
Mark : D if the questions cannot be answered even by using both the statements together
Q) If x is an odd integer , is y an odd integer
The average of x,y and (y+1) is an integer.
The average of x and y is odd

Yes , I know this may sound as a very simple question of Data Sufficiency any body after some analysis will say statement II is alone sufficient. But statement II cannot be always true (this question is from a well known book and in answer it specifies A)
Take foll. Cases in statement II
case 1 , x= odd (given) and y= odd (assuming)
Then avg. = x+y/2 = odd+odd/2 = even/2
But if the even no. obtained after adding x,y is say 18 or 10 or 30 .... then the avg would be odd as specified by statment II , but if the even no. obtained after adding x,y is 12 or 16 or 20 or .... then the avg wont be odd as specified by statementII
Case 2 , x=odd(given) and y = even (assuming)
Then avg. = x+y/2 = odd+even/2= odd/2
In this case avg. wont be a whole no., but still the resulting average in fractions will be odd
It is the second part of case 1 that is confusing me , as i think it cant be surely ascertained that y is odd or not (which was the main target of the question). I would have marked D.
I think that if the II statement would have been like this , The average of x and y is a whole number , then surely option A would be correct

Will be grateful if any body clears my doubt.

aprofessor Says
Plz post some links for MAT level data sufficiency practise tests

Is MAT going to happen this year ????????????????????????????????????
Even if it does i wonder which b schools will accept its score
Can any body can help me solving this question of data sufficiency
Mark: A if question can be answered using one of the statements alone but cant be answerd using the other statement alone
Mark: B if question can be answered using either of the statements alone.
Mark : C if question can be answered using both statements together but cant be answered using either of the statements alone.
Mark : D if the questions cannot be answered even by using both the statements together
Q) If x is an odd integer , is y an odd integer
The average of x,y and (y+1) is an integer.
The average of x and y is odd

Yes , I know this may sound as a very simple question of Data Sufficiency any body after some analysis will say statement II is alone sufficient. But statement II cannot be always true (this question is from a well known book and in answer it specifies A)
Take foll. Cases in statement II
case 1 , x= odd (given) and y= odd (assuming)
Then avg. = x+y/2 = odd+odd/2 = even/2
But if the even no. obtained after adding x,y is say 18 or 10 or 30 .... then the avg would be odd as specified by statment II , but if the even no. obtained after adding x,y is 12 or 16 or 20 or .... then the avg wont be odd as specified by statementII
Case 2 , x=odd(given) and y = even (assuming)
Then avg. = x+y/2 = odd+even/2= odd/2
In this case avg. wont be a whole no., but still the resulting average in fractions will be odd
It is the second part of case 1 that is confusing me , as i think it cant be surely ascertained that y is odd or not (which was the main target of the question). I would have marked D.
I think that if the II statement would have been like this , The average of x and y is a whole number , then surely option A would be correct

Will be grateful if any body clears my doubt.

Plz will someone give their views

Subscribing

ranbeer19 Says
Plz will someone give their views


plz will some one reply DS thread should be alive not dead:sneaky:

In a circle with center O and dia as BC, triangle ABC is formed.
Q - Is angle B>45.
Statement - AC - AC>=AB

1. If the statement can be answered unsing one of the options and can not be answered using other option.
2. If the statement can be answered by using either option.
3. If it can be ans using 1&2 together but none statement alone,
4. can not be ans using any of the statements.

Question- among the Five contestants A, B, C, D, and E who participate in a competition who gets the maximum votes?
the number of judges who voted is different for each participant and no judge voted for only one.
1) all judges voted for either A or E also voted for C.
2) only the judges who voted for B and C voted for D. Every judge who voted for B voted for A and E.

options-1- answered by one
2- can be answered by either statement alone
3- using two statements
4- cannot be answered by using both the statements

Answer i believe should be (1),since from 1st statement C will always get all the judges vote/.so he received the maximum no.of votes...whereas from 2nd statement nothing much can be said about the max votes...
5. The question given below is followed by two statements, A and B. Mark the answer using the
following instructions:
Mark (a) if the question can be answered by using either statement alone.
Mark (b) if the question can be answered by using one of the statements alone, but cannot be
answered by using the other statement alone.
Mark (c) if the question cannot be answered even by using both the statements together.
Mark (d) if the question can be answered by using both the statements together, but cannot be
answered by using either statement alone.
Q. Each student in a class opts for one of the two foreign languages - French and Spanish. Six
boys opt for French and eight girls opt for Spanish. What is the maximum possible number of girls
who opt for French?
A. The total number of students in the class is 35.
B. The students who opt for Spanish are fewer than the students who opt for French.

Answer cannot be answered even by using both the statements since we don't know the girls,boys ratio out of the 21 students left to opt for French/Spanish...
Can any body can help me solving this question of data sufficiency
Mark: A if question can be answered using one of the statements alone but cant be answerd using the other statement alone
Mark: B if question can be answered using either of the statements alone.
Mark : C if question can be answered using both statements together but cant be answered using either of the statements alone.
Mark : D if the questions cannot be answered even by using both the statements together
Q) If x is an odd integer , is y an odd integer
The average of x,y and (y+1) is an integer.
The average of x and y is odd

Yes , I know this may sound as a very simple question of Data Sufficiency any body after some analysis will say statement II is alone sufficient. But statement II cannot be always true (this question is from a well known book and in answer it specifies A)
Take foll. Cases in statement II
case 1 , x= odd (given) and y= odd (assuming)
Then avg. = x+y/2 = odd+odd/2 = even/2
But if the even no. obtained after adding x,y is say 18 or 10 or 30 .... then the avg would be odd as specified by statment II , but if the even no. obtained after adding x,y is 12 or 16 or 20 or .... then the avg wont be odd as specified by statementII
Case 2 , x=odd(given) and y = even (assuming)
Then avg. = x+y/2 = odd+even/2= odd/2
In this case avg. wont be a whole no., but still the resulting average in fractions will be odd
It is the second part of case 1 that is confusing me , as i think it cant be surely ascertained that y is odd or not (which was the main target of the question). I would have marked D.
I think that if the II statement would have been like this , The average of x and y is a whole number , then surely option A would be correct

Will be grateful if any body clears my doubt.


The correct answer should be (A).

Statement (1) => That the average of x and y is odd. Thus, it means that the average of x and y is an integer (which is automatically a whole number), as only integers may be odd or even.
=> That y is an odd integer, coz the only way for the average to be a whole number is for the sum of x and y to be even and therefore divisible by 2. Thus, if x is odd, so is y.

Statement (2) => If y is odd, then y + 1 is even; and if y is even, then y + 1 is odd. In either case, x + y + (y + 1) is the sum of two odds and an even, which must be even. There are many even numbers that are divisible by 3, giving an integer for the average. Thus, Statement (2) does not actually provide you with any information about the parity of y.

Let and be the two distinct roots of the quadratic equation ax2 + bx + c = 0. Both and are two digit integers with same unit digit.

What is the unit digit of b/2a?

Statements:

(1) D/a^2 is not a multiple of 100, where D is discriminant.

(2) Unit Digit of + / 2 is not equal to 0.


Options:

(1) If answer can given using statement 1 only

(2) If answer can be given using statement 2 only

(3) If answer can be given using either 1 or 2.

(4) If answer cant be given even by using both 1 and 2.

(5) If answer can given using both 1 and 2.

The correct answer should be (A).

Statement (1) => That the average of x and y is odd. Thus, it means that the average of x and y is an integer (which is automatically a whole number), as only integers may be odd or even.
=> That y is an odd integer, coz the only way for the average to be a whole number is for the sum of x and y to be even and therefore divisible by 2. Thus, if x is odd, so is y.

Statement (2) => If y is odd, then y + 1 is even; and if y is even, then y + 1 is odd. In either case, x + y + (y + 1) is the sum of two odds and an even, which must be even. There are many even numbers that are divisible by 3, giving an integer for the average. Thus, Statement (2) does not actually provide you with any information about the parity of y.


yeah i forgot if the sum of x&y; is 18 or 14 or 6 ... and x= odd then y has to be odd . Any ways thanks brother