Latest Elitmus Aptitude Question SOLUTION: 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 class

• Placement Papers
• /
• Elitmus
• /
• Numerical Ability
• /
• Arithmetic

Elitmus Question Papers:

(#M40037883) ELITMUS Numerical Ability question asked on 21/07/2014 Keep an EYE

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

Asked In Elitmus Aditya (9 years ago)

Unsolved Read Solution (10)

Is this Puzzle helpful?   (2)   (1) Submit Your Solution Arithmetic

Read Solution (10) :

dheeraj  (9 years ago)

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

Is this solution Helpfull? Yes (33) | No (8)  

Sonali Ghadai  (9 years ago)

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.

Is this solution Helpfull? Yes (5) | No (6)  

Sonali Ghadai  (9 years ago)

sorry,ans=100-40=60

Is this solution Helpfull? Yes (4) | No (1)  

Rohit Banka  (9 years ago)

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

Is this solution Helpfull? Yes (2) | No (1)  

aditya kumar  (9 years ago)

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

Is this solution Helpfull? Yes (1) | No   

piyush ranjan behera  (9 years ago)

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????????

Is this solution Helpfull? Yes | No   

Niranjan C  (9 years ago)

@rohit ..
yup, you are right bro.. i too got same answer..

Is this solution Helpfull? Yes | No   

aditya kumar  (9 years ago)

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

Is this solution Helpfull? Yes | No (1)  

aditya kumar  (9 years ago)

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

Is this solution Helpfull? Yes | No (1)  

aditya kumar  (9 years ago)

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

Is this solution Helpfull? Yes | No (1)  

Please Login to Read Solution.