CAT 2002 Question Paper

High quality crop 2 is produced by R5, R8 and R12.

None of these regions produce crop 3.

Hence, option D is true.

None of the other options are true.

Take a look at the table,

The low producing areas corresponding to Crop 1 is R9, R10, R11

Now medium yield area corresponding to Crop 3 is R9 and high yield are corresponding to crop 4 is R10 and R11.

Hence all three area are mentioned in the above two categories. 

Considering statement B there are 2 possible score values before last 5 mins  possible. Korea 3:1 India or Korea 2:0 India. Now considering statement A , in one case India wins (as the score becomes India 4:3 Korea) and in other there is a draw(as the score becomes India 3:3 Korea). Hence, The question cannot be answered by either of the statements.

Considering statement A 12 students can be written as 4 students + 8 students. Hence Even if only 4 students are added the teacher can divide students in teams of 8. Now considering statement B , we cant perfectly tell if after adding teacher can divide in teams of 8 . Hence only A is enough to answer the question. Hence , The question can be answered by one of the statement alone but not by the other.

Consider statement 1:$$(x+y)(1/x + 1/y) = 4$$

$$(x+y)^2/xy = 4$$

$$x^2+y^2+2xy = 4xy$$

$$x^2+y^2+2xy-4xy = 0$$

$$(x-y)^2 = 0$$

x = y.

Consider statement 2:$$(x-50)^2 = (y-50)^2$$

(x-y)(x+y-100) = 0

Either x = y or x+y = 100.

Statement 1 is sufficient whereas statement 2 is not sufficient to answer the question.

Let the initial selling price be s1 and changed value be s2, also wholesale cost price be c. According to the given condition we have s1=1.28*c. By statement A we have s2=0.9*s1 and s2-c = 10 . Hence, wholesale cost price can be found out.
Considering statement B we have just s2=50. Using this we can't find c. Hence, the question can be answered by one of the statements alone but not by the other.

Consider statement A alone and assume that half of the people scored 600 and half of the people scored 499, so average is not 500

Also there is a possibility that average can be 500 when half of the people score about 500 and the other half score below 500.

Hence we won't get unique answer using A.

Consider statement B alone: We can't find average just by knowing the highest and the lowest score.

Even by using both the statements, we cannot find the answer to the question. Option d) is the correct answer.

Statement A: -1<x<1
-3<x-2<-1
So 1<mod(x-2)<3
It is definitely greater than 1

Statement B:  -2<x-1<2
-3<x-2<1
which implies mod(x-2) might be greater than or less than 1

So only one statement is sufficient.

Let x,y,z be the no. of people speaking only French, only Russian and both respectively. By statement A we have x+y+z = 300 and z = 196. Using this we can't find number of people in a club who speak only French.
Now considering statement B we have x = 58. So using both the statements together we can find number of people in a club who speak only French. Hence, option C is the correct answer.

Let amount received by Jagdish, Punit and Girish be j,p,g rs. such that j+p+g = 38500. According to statement A , j= 2*(p+g)/9 . Using this alone we can't answer the question.
Now consider statement B , we have p = 3*(j+g)/11. Using this alone we can't answer the question. But considering both statements together we can answer the question. Hence, option C is the correct answer.