CAT 2010 Questions
CAT 2010 Questions-Directions for next 2 CAT 2010 Questions: Answer the CAT questions on the basis of the information given below.
In an examination, there are 100 questions divided into three groups A, B and C such that each group contains at least one question. Each question in group A carries 1 mark, each question in group B carries 2 marks and each question in group C carries 3 marks. It is known that the questions in group A together carry at least 60% of the total marks.
1. If group B contains 23 questions, then how many questions are there in group C?
a. 1
b. 2
c. 3
d. 4
e. Cannot be determined
2. If group C contains 8 questions and group B carries at least 20% of the total marks, which of the following best describes the number of questions in group B?
a. 11 or 12
b. 12 or 13
c. 13 or 14
d. 14 or 15
e. 15 or 16
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March 24th, 2010 at 1:44 am
hey pls send me the latest questions daily
April 3rd, 2010 at 10:51 pm
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October 8th, 2010 at 10:19 am
1
12 or 13
are the answers
November 11th, 2010 at 2:10 am
13 or 14 is the answer..
not 12 or 13
November 25th, 2010 at 8:27 pm
sir i got 85% in bscit .now which cource is better 4r me mba or mscit.plz
January 10th, 2011 at 10:09 am
The answer of question1 is 1 and question2 is 13 or 14.
January 29th, 2011 at 3:51 am
Group No of questions Marks/question Marks/Group
A a 1 a
B b 2 2b
C 100-a-b 3 3(100-a-b)
Total marks = a+2b+3(100-a-b)= 300-2a-b ……(i)
Also as per given condition, a≥0.6(300-2a-b)
which turns the eqn to 11a≥900-3b ……(ii)
Now for 1st problem b=23
so using eqn(ii)
a≥75.5 which means a should be at least 76
in that case c=1
a can’t be more than 76 because Group C should contain at least 1 question.so (a) is the right option
for the 2nd problem,
using the condition, total marks in group C is 24
Total marks of all group together = a+2b+24
a≥0.6(a+2b+24) ie a-3b≥36 …….(iii)
again using the condition of 2nd problem,
2b≥0.2(a+2b+24) ie 8b-a≥24 ……(iv)
adding (iii) & (iv)
5b≥60 or b≥12 ….(v)
so b can be 12 or more
If you now analyse you will find out that only a=13 or 14 satisfies eqn (iii)or (iv).
so(c) is the right option
February 5th, 2011 at 1:47 am
hey abhik great yar…..!
but i haven’t understand the 2nd solution ur 2nd last line confused me….
hiow can a=13 or 14 satisfy eqn(30or 4
February 5th, 2011 at 2:58 am
hey abhik great dude….!
but here i m confused on yr 2nd last line.
how do we get soiution of 2nd question by eguating a=13 or 14.
waiting for ur reply……..!
February 16th, 2011 at 1:06 am
HEY STILL NOW i CANT UNDERSTOOD UR EXPLANATION MAN.!
February 16th, 2011 at 1:07 am
CAN YOU EXPLAIN CLEARLY PLS………