IN a college, a teacher can take max of 3 and min of 1 lab classes in a day, and max of 5 and min of 2 theory classes a day.
There are total of 90 lab classes and 199 theory classes a day. If X1 is min no of teachers required and X2 is max no. of teachers required.
Then what is (X2 - X1) ?
a. 59
b. 60
c. 69
d. 70

• total no lab& theory=90+199=289
  in a day,max lab & theory cls a teacher can take is=3+5=8
  in a day,min lab & theory cls a teacher can take is=1+2=3
  
  min teacher req will be(X1)=289/8=37
  max teacher req will be(X2) =289/3=97
  X2-X1=60
  
• 10 years agoHelpfull: Yes(33) No(8)
• x1=40
  x2=100
  ans:40
  if techers wl take max. no of classes then ,we can find value of X1.
  so,min no of teachers rexuired for taking 90 lab classes are 30.
  min no of teachers required for taking 199 theory classes are 40.
  so X1 value is within 30 and 40.
  now,again each teacher have to take 8 classes from 289 no of classes.
  Also a teacher cannt take 3 lab class,because then 10 teachers hae no lab class which is contradiction.
  so ,30 teachers wl take 2 lab class and 5 theory class each,thus remain 30 lab classes out of 90 and 49 theory class from 199,and if we take another 10 tachers
  giving each 3 lab class,and out of 10 teacher 9 wl take 5 theory each,and last one take 4 theory class,then its ok.
  so x1=40.(no other combination possible)
  now,for maximum no of teacher each teacher should take min no of class.
  so,maxm no of teachers required for lab class=90.
  so,maxm no of teachers required for theory classes =100.
  so x2=100.
  
  
• 10 years agoHelpfull: Yes(5) No(6)
• sorry,ans=100-40=60
  
• 10 years agoHelpfull: Yes(4) No(1)
• max number of teachers req. should be 90 because if there are more than that some teachers will not have any labs to take which is contradictory.
  so X2=90
  for X1:: 30 teachers can take up all the labs and 150 theory classes. so for the remaining 49 theory classes 10 teachers are required., hence X1=30+10=40
  X2-x1=90-40=50
  which I dont see in any option... strange
• 10 years agoHelpfull: Yes(2) No(1)
• Max no. of teacher(X2)= 90 or 99
  Min no. of teacher(X1)= 30 or 40
  But x2 should be 99 bcz there are 199 theory classses and 1 teacher can take atleast two classess
  and x1 should be 40 bcz there are 199 theory classses and 1 teacher can take max 5 classes.
  X1-X2= 99-40= 59.
  It is exact answer all of u are wrong man
• 10 years agoHelpfull: Yes(1) No(0)
• if x2=100 then 99 teachers will take min 2 theory cls and 1 will take only 1 cls. that will be a contradiction.
  and in lab cls 90 teacher wil take 90 lab classes. and 10 teacher has no lab class . so how the ans will be 60????????
• 10 years agoHelpfull: Yes(0) No(0)
• @rohit ..
  yup, you are right bro.. i too got same answer..
• 10 years agoHelpfull: Yes(0) No(0)
• Max no. of teacher(X2)= 90 or 99
  Min no. of teacher(X1)= 30 or 40
  But x2 should be 99 bcz there are 199 theory classses and 1 teacher can take atleast two classess
  and x1 should be 40 bcz there are 199 theory classses and 1 teacher can take max 5 classes.
  X1-X2= 99-40= 59.
  It is exact answer all of u are wrong man
• 10 years agoHelpfull: Yes(0) No(1)
• Max no. of teacher(X2)= 90 or 99
  Min no. of teacher(X1)= 30 or 40
  But x2 should be 99 bcz there are 199 theory classses and 1 teacher can take atleast two classess
  and x1 should be 40 bcz there are 199 theory classses and 1 teacher can take max 5 classes.
  X1-X2= 99-40= 59.
  It is exact answer all of u are wrong man
• 10 years agoHelpfull: Yes(0) No(1)
• Max no. of teacher(X2)= 90 or 99
  Min no. of teacher(X1)= 30 or 40
  But x2 should be 99 bcz there are 199 theory classses and 1 teacher can take atleast two classess
  and x1 should be 40 bcz there are 199 theory classses and 1 teacher can take max 5 classes.
  X1-X2= 99-40= 59.
  It is exact answer all of u are wrong man
• 10 years agoHelpfull: Yes(0) No(1)