Attempting exams like CAT is always a tense experience. To keep our nerves under control is the mantra here. I have attempted CAT two times, first time in 2008 and next time in 2012. First one is traditional paperbased type and next one is computerbased test. See my learning points from this experience...
Tuesday, 29 January 2013
Saturday, 12 January 2013
Puzzle35 (XAT2013)
Sara has just joined Facebook. She has 5
friends. Each of her five friends has twenty five friends. It is found that at least
two of Sara’s friends are connected with each other. On her birthday, Sara
decides to invite her friends and the friends of her friends. How many people
did she invite for her birthday party?
(A) ≥
105 (B) ≤ 123 (C) < 125 (D)
≥ 100 and ≤ 125 (E) ≥ 105 and ≤ 123
For solution click on 'Read more' below..
Wednesday, 9 January 2013
XAT2013 Detailed Solutions (Quantitative Ability)
Along with solutions, here I would like to give 'Notes' especially on some problems where I went in a wrong way or spent a little more time than usual while actually solving in the exam. And also for some problems, I summarized crucial clues and tagged those clues under 'Points'. I thought this approach is quite useful to solve the problems and get to know about the nittygritties.
Tuesday, 8 January 2013
Indian Economy, a CR point
I
was reading through a writeup on Indian Economy2012. I wanted to relate one
point from here to the critical reasoning stuff.
The
following are the facts found in a recent survey:
Fact1: Indian economy may be
broadly divided in to three sectors Industry, Agriculture and Services. The
contributions of these sectors to the GDP are as follows:
Agriculture15%,
Industry28%, Services57%
Fact2: For over a
considerable period, there is exodus observed in a significant extent. People
are moving from rural to urban areas. Most of the people who are moving out of
rural areas are not finding agriculture as a lucrative sector and trying to
find jobs in industries in urban areas.
Monday, 7 January 2013
XAT2013 :My Experience
D'day  6th Jan'2013
Centre: St.Patricks High School, Sebastian Road, Sec'bad
Parts:
Two parts.
PartI: 140 min. VA,DM and QA sections
PartII: 40 min. General Awareness and Essay. Surprise this time is
introduction of GA section here.
PartI:
A total of 91 Q's. All are multiple choice Q's having 5
options each.
This part is divided like this:
SecA: Verbal Ability
Total Q's: 30
SecB: Decision Making
Total Q's: 25
SecC: Quantitative Ability
Total Q's: 36
ve Marking:
It's a surprise this time. It's a straight forward formula. One
fourth for each wrong Q.
Differential Marking:
It's again a surprise this time.No differential marking. All
Q's carry equal marks.
Sunday, 6 January 2013
XAT2013 Answer key
Q1)Prof. Mandal walks....
(A) 100 minutes (B) 120 minutes (C) 140 minutes (D)
150 minutes (E)None of the above
Answer: D
Q2)At the centre of a city’s municipal park ....
(A) 62500Ï€ (B) 125000Ï€ (C)
250000Ï€ (D) 500000Ï€ (E)Cannot be answered
from the given data
Answer: A
Q3)Mr.Mehra is planning for higher
education ....
(A) 5% and 7.5% respectively (B) 8% and 12% respectively
(C) 10% and 15%
respectively (D) 15% and 22.5%
respectively
(E) 20% and 30%
respectively
Answer: E
Q4)Albela, Bob and Chulbul ....
(A) 24 (B) 25 (C) 26 (D) 27 (E)
28
Answer: A
Q5)The taxis plying in Wasseypur....
(A)17 (B) 18 (C)
19 (D) 20 (E)
21
Answer: C
Q6)Consider the expression (a^{2}+a+1)....
(A)3 (B) 1 (C) 10 (D) 100 (E) 243
Answer: E
Q7) The mean of six positive integers....
(A)26 (B) 28 (C)
30 (D) 32 (E)
34
Answer: D
Q8) Ramesh bought a total of 6 fruits....
(A)25% (B) 33.3% (C)
60% (D) 66.6% (E) None of the above
Answer: E
Q9) p and q are positive numbers....
(A)√9 (B) (9)^{1/6} (C)
(9)^{1/9} (D) (9)^{1/8} (E) (9)^{1/3}
Answer: D
Q10)A number is interesting if....
(A)0.1 (B) 0.11 (C) 0.16
(D)
0.22 (E) None of the above
Answer: A
Q11)Consider the expression: (xxx)_{b}
= x^{3}....
(A)5 (B) 6 (C) 7 (D) 8 (E) None of the above
Answer: E
Q12)The figure below show the graph of a
function f(x)....
(A)5 (B) 6 (C) 7 (D) 8 (E) None of the above
Answer: C
Q13)How many whole numbers between 100
and 800 contain the digit 2?
(A)200 (B) 214 (C)
220 (D) 240 (E) 248
Answer: B
Q14)Ram,Shyam and hari..
(A)8 (B) 7 (C) 6 (D) 5 (E) 4
Answer: A
Q15)Consider a function f(x) = x^{4}+x^{3}+x^{2}+x+1, where x is a ...
Q16)Six playing cards are lying ...
Q17)Please read the following sentences carefully ...
Q15)Consider a function f(x) = x^{4}+x^{3}+x^{2}+x+1, where x is a ...
(A)1 (B) 4 (C) 5 (D) a monomial in x (E) a
polynomial in x
Answer: CQ16)Six playing cards are lying ...
(A) ≥
0.25 and < 0.5 (B) ≥ 0.5 and < 0.75 (C) ≥ 0.75 and < 1.0 (D) ≥ 1.0
and < 1.25
(E) ≥ 1.25
Answer: C(E)
Q17)Please read the following sentences carefully ...
(A)All the statements are
correct (B) Only statement II is
correct
(C) Only statement III is correct (D) Both statements I and II are
correct
(E) Both statements I and
III are correct
Answer: CQ18)In the country of Four ...
(A)26.64 (B) 27.32 (C)
28.30 (D) 30 (E) 36
Answer: CQ19)Which is the fastest train between HHH and NNN?
(A)1111 (B) 2222 (C)
4444 (D) 7777 (E) 9999
Answer: D
Q20) Which is the fastest train between AAA and NNN?
Q20) Which is the fastest train between AAA and NNN?
(A)8800 (B) 8888 (C) 6666 (D) 4444 (E)
3333
Answer: A
Q21) If you have to travel from AAA...
Q21) If you have to travel from AAA...
(A)1111 and 8800 (B) 1111 and 9900 (C) 8888 and 7777
(D) 8888 and 8800 (E) 8888 and 9900
Answer: E
My observation: It appears that 8800 is not stopping at HHHQ22) Considering away matches only, which of the following team is the second ranking team?
(A)AS (B)
CH (C) WG (D) SW (E) WB
Answer: D
Q23) Arun has to go the country....?
(A)T1 and T2 (B) T1,T2 and T5 (C)
T1,T4 and T5 (D) T1,T2 and T4
(E) T1,T3 and T4
Answer: B
Q24) However, Arun’s manager....?
(A)T1, T2 and T3 (B) T1,T2 and T5 (C) T1,T2 and T4 (D)
T1,T3 and T4
(E) T1,T4 and T5
Answer: B
Q25) in a square PQRS, A and B are...?
(A)6 (B)
8 (C) 10 (D) 12 (E) 14
Answer: C
Q26) p,q and r are three
nonnegative...?
(A) ≥ 40 and < 50 (B) ≥ 50 and < 60 (C) ≥ 60 and < 70 (D) ≥ 70 and < 80 (E) ≥ 80 and < 90
Answer: D
Q27) The central park...?
(A)
10
meters (B) 12.5
meters (C) 14
meters (D) 15 meters (E) 16
meters
Answer: A
Q28) What is the ratio of current
account balance in 2010 to the current account balance in 2005?
(A)
0.35 (B) 4.56 (C)
5.01 (D) 2.57 (E) 5.30
Answer: E
Q29) Read the statements given below:
1.
Exports were more than imports in 2006
2.
Imports were more than exports in 2009
3.
Exports increased at faster rate than imports
during the period 2005 to 2010
Which of the above
statements is necessarily true?
(A)
1
and 2 (B) 1,2, and
3 (C) 3 only (D) 2 only (E) 1 only
Answer: C
Q30) What was the approximate number of
unemployed persons in 2006?
(A)100 million (B) 102 million (C)
98 million
(D) 105 million (E) 104 million
Answer: A
Q31) Sara has just joined Facebook...?
(A)
≥
105 (B) ≤ 123 (C) < 125 (D)
≥ 100 and ≤ 125 (E) ≥ 105 and ≤ 123
Answer: E
Q32) 70% of the students who joined XLRI
last year play football,..?
(A) 5% (B)
10% (C) 15% (D) 20% (E) None of
the above
Answer: Bclick here for detailed solutions
More Questions are in
line.....
Saturday, 5 January 2013
Patterns observed from Leap year concept
Consider years from 2001 to 2017. Out of
these 17 years, the following 4 are leap years: 2004, 2008, 2012, 2016
Exceptions:
Let us consider a property “Equidistant”
here. If any day of a year is equidistant from the corresponding day of the
previous and next years, then that year is called to exhibit the property
‘Equidistant’. But here, before considering a date, it should be taken care of
two scenarios. One scenario is for the dates from Jan’1^{st} to Feb’28^{th}
and the other scenario is for the dates from Mar’1^{st} to Dec’31^{st}.
These two scenarios result in two different patterns. In brief, scenarioI set of dates is (Jan’1^{st} to Feb’28^{th}) and scenarioII set of dates is (Mar’1^{st} to Dec’31^{st}).
For example, let us consider a year 2007.
How many days are there from Jan’1^{st} of 2006 to Jan’1^{st}
of 2007? It is 365. Reason is simple.
Being a nonleap year, '2006' has 365 days. Similarly, there are 365
days from Jan’1^{st} of 2007 to Jan’1^{st} of 2008 (here again,
being a nonleap year '2007' consists of 365 days). So here, any day (taken
from scenarioI set of dates) of
2007 is equidistant from the corresponding days of 2006 and 2008. And hence, we
can say that year 2007 possesses the property “Equidistant” if scenarioI set
of dates are considered.
PatternI
Here we consider a date from Jan’1^{st}
to Feb’28^{th} and the pattern looks like this:
To have some fun, fill out the tables on
your own...
From here onwards, 'E' stands for the
property 'Equidistant' and 'N' for 'NonEquidistant'.
2001

2002

2003

2004

2005

2006

2007

2008

2009

2010


N

E

E

N

N

E

E

N

N

E


2011

2012

2013

2014

2015

2016

2017


E

N

N

E

E

N

N

*Years in bold are leap years
PatternII
Here we consider a date from scenarioII
set of dates ie., from Mar’1^{st} to Dec’31^{st} and the
pattern looks like this:
2001

2002

2003

2004

2005

2006

2007

2008

2009

2010


E

E

N

N

E

E

N

N

E

E


2011

2012

2013

2014

2015

2016

2017


N

N

E

E

N

N

E

*Years in bold are leap
years
The
point in common for the two patterns is, for every four
consecutive years, there exist two E’s and two N’s.
If it is to be defined
mathematically, Leap year is a number which
must be a multiple of 4 and
must be a multiple of 4 and
must not be a multiple of 100 but
can be a multiple of 400
Sequence of Leap years is
not in a perfect pattern. For example, If I start writing down the list of leap
years for a period starting from 1895, it goes like this: can be a multiple of 400
1896,1904,1908,1912,1916.....
There is an exception for it to be a perfect 'Arithmetic Progression with a common difference of 4'. The break is between 1896 and 1904. Had 1900 been existing between these two, it would have been so.
There is an exception for it to be a perfect 'Arithmetic Progression with a common difference of 4'. The break is between 1896 and 1904. Had 1900 been existing between these two, it would have been so.
As there exist exceptions
in the leap year sequence (I mean, it’s not a perfect Arithmetic Progression.
Every year which is a multiple of 4 is not a leap year. The exception is due to
a year which is being a multiple of 100 (but not a multiple of 400) (and
obviously it’s a multiple of 4) is not a leap year), there exist exceptions too
in our two patterns. There exist breaches in the pattern at any year which is a
multiple of 100 (but not a multiple of 400) and also at one of it’s two
adjacent years. To explain this I take an example set of the years from 1895 to
1911:
PatternI
for this set is:
1895

1896

1897

1898

1899

1900

1901

1902

1903

1904


E

N

N

E

E

E

E

E

E

N


1905

1906

1907

1908

1909

1910

1911


N

E

E

N

N

E

E

*Years in bold are leap
years
PatternII
for this set is:
1895

1896

1897

1898

1899

1900

1901

1902

1903

1904


N

N

E

E

E

E

E

E

N

N


1905

1906

1907

1908

1909

1910

1911


E

E

N

N

E

E

N

*Red marked ones are exceptions
*Years in bold are
leap years
Had 1900 been a leap year, then 1900 and 1901 of
PatternI would have been N and N respectively and it would have been in a
perfect pattern like two N's followed by two E's. Similarly, for PatternII, 1899
and 1900 would have been N and N respectively and also it would have been in a
perfect pattern.
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