Kolkata CAT 2012 Study Group

MBA CAT 2022
62

1. How many four-digit odd integers, greater than 3009 can be formed with the digits 0, 2, 3, 5 and 7, if repetition of digits is not allowed?
(1) 36 (2) 32 (3) 72 (4) 54 (5) 120

The units digit can be filled in 3 ways (3, 5 or 7) and once this is done the thousands digit can be filled in 2 ways.
The hundreds and the tens digit can be filled up with remaining digits in 3 2 = 6 ways.
Total number of ways = 3 2 6 = 36.
Hence, total such four digit number greater than 3009 = 36.

2. What is the digit at the hundredths place of the number N = 45^36 ?
(1) 1 (2) 0 (3) 6 (4) 5 (5) 7
The last three digits of any number is same as the remainder when the number is divided by 1000.
45^36/1000 = 5^33 * 9^36/8
The remainder when 9^36 is divided by 8 will be 1 as 9^36 = (8 + 1)^36
5^33/8 = 5 * (25)^16/8 = 5 * (24+1)^16/8
So, the remainder when 5^33 is divided by 8 will be 5.
So, the remainder when 45^36 is divided by 1000 will be 125 5 1 = 625.
The required digit is 6.
3. The sum of coefficients of the terms which do not contain odd powers of x in the expansion of (x + y)^100 + (x y)^100 is
(1) 2^99 (2) 2^100 (3) (2^100 2) (4) (2^100 1)/2 (5) 0
answer is 2^100. Explanation is too big!

4. After three successive changes (two increases and one decrease, not necessarily in that particular order), the price of a watch became (154/125)
of its initial price. If the percentage changes are P, 2P and 4P respectively, then what is the value of 4P?
(1) 20 (2) 8 (3) 200 (4) 40 (5) Either (1) or (4)
154/125 = 1.232; so Net change is (+23.2%)
Let us check by options:
For 20% : The four successive percentage changes could be one or other of (5, 10, 20), (5, 10, 20), (5, 10, 20) and (5, 10, 20).
None of the above combinations gives a net change of 23.2%.
For 8% : Even if we take all the percentage changes (2, 4, 8 ) as positive, the net percentage change would be less than 14.56%.
For 200% : The three successive absolute percentage changes are (50,100, 200). For any combination of the percentage changes, the net change cannot be equal to 23.2%.
For 40% : The three successive absolute percentage changes are (10, 20, 40)
If we take the successive percentage changes as (10, 20, 40), then the net increase is 23.2%.

5. ABC is an equilateral triangle and D is a point on the side BC. A perpendicular DE is drawn from D on AC and another perpendicular EF is drawn from E on BC. The length of the side BC is 6 cm and the
ratio of the lengths of BD to BC is 1 : 3. Find the area (in square cm) of triangle EFC.
(1) root3 (2) root3/2 (3) root3/4 (4) root2 (5) 3*root3/2
root3/2 sq. cm.
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1. What Americans mostly remember about the 1970s are ________oil prices and lines at gas stations, but there was also a severe global food crisis, which caused a lot of pain at the supermarket checkout line
and, much more important, helped cause _______famines in poorer countries.
(1) plummeting, morbid (2) soaring, devastating (3) precipitating, incisive
(4) stable, genocidal (5) towering, assuaging.

2. To many western officials, ________or unhappy by turns with various more colorful figures than Khamenei, and casting around for the real center of power in Irans labyrinth of the democratic and the deified, the system is equally _________.
(1) acerbic, appealing (2) dotty, abominating (3) enamoured, maddening
(4) enchanted, repulsive (5) disgusted, chaotic

3. As Christianity distanced itself from its origins as a Jewish sect, Christian thinkers found it increasingly_____ to blame the Jews as a people for the arrest and execution of Christ, and to cast Judas as the ________ Jew.
(1) cumbersome, holy (2) inopportune, traditional (3) difficult, shameful
(4) benedictory, loathsome (5) convenient, archetypal

4. The final assault came in 2001, when teams of hammer-wielding Taliban____ came to smash works of art they deemed idolatrous; when they finished, more than 2,000 artifacts lay in _____.
(1) warriors, cinders (2) caliphs, tatters (3) apologists, frays
(4) zealots, smithereens (5) opponents, rust

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1. What Americans mostly remember about the 1970s are ________oil prices and lines at gas stations, but there was also a severe global food crisis, which caused a lot of pain at the supermarket checkout line
and, much more important, helped cause _______famines in poorer countries.
(1) plummeting, morbid (2) soaring, devastating (3) precipitating, incisive
(4) stable, genocidal (5) towering, assuaging.

2. To many western officials, ________or unhappy by turns with various more colorful figures than Khamenei, and casting around for the real center of power in Irans labyrinth of the democratic and the deified, the system is equally _________.
(1) acerbic, appealing (2) dotty, abominating (3) enamoured, maddening
(4) enchanted, repulsive (5) disgusted, chaotic

3. As Christianity distanced itself from its origins as a Jewish sect, Christian thinkers found it increasingly_____ to blame the Jews as a people for the arrest and execution of Christ, and to cast Judas as the ________ Jew.
(1) cumbersome, holy (2) inopportune, traditional (3) difficult, shameful
(4) benedictory, loathsome (5) convenient, archetypal

4. The final assault came in 2001, when teams of hammer-wielding Taliban____ came to smash works of art they deemed idolatrous; when they finished, more than 2,000 artifacts lay in _____.
(1) warriors, cinders (2) caliphs, tatters (3) apologists, frays
(4) zealots, smithereens (5) opponents, rust

1.2
2.5
3.5
4.4

OA, Tamal?
65

any puy at bhowanipur up for grp stdy?? !

66
1.2
2.5
3.5
4.4


oa
1. 2 2. 3 | 3. 5 4. 4
67
1. What Americans mostly remember about the 1970s are ________oil prices and lines at gas stations, but there was also a severe global food crisis, which caused a lot of pain at the supermarket checkout line
and, much more important, helped cause _______famines in poorer countries.
(1) plummeting, morbid (2) soaring, devastating (3) precipitating, incisive
(4) stable, genocidal (5) towering, assuaging.

2. To many western officials, ________or unhappy by turns with various more colorful figures than Khamenei, and casting around for the real center of power in Irans labyrinth of the democratic and the deified, the system is equally _________.
(1) acerbic, appealing (2) dotty, abominating (3) enamoured, maddening
(4) enchanted, repulsive (5) disgusted, chaotic

3. As Christianity distanced itself from its origins as a Jewish sect, Christian thinkers found it increasingly_____ to blame the Jews as a people for the arrest and execution of Christ, and to cast Judas as the ________ Jew.
(1) cumbersome, holy (2) inopportune, traditional (3) difficult, shameful
(4) benedictory, loathsome (5) convenient, archetypal

4. The final assault came in 2001, when teams of hammer-wielding Taliban____ came to smash works of art they deemed idolatrous; when they finished, more than 2,000 artifacts lay in _____.
(1) warriors, cinders (2) caliphs, tatters (3) apologists, frays
(4) zealots, smithereens (5) opponents, rust



My take :

1.2
2.5
3.5
4.4
68
oa
1. 2 2. 3 | 3. 5 4. 4


Tamal,can u please explain the 2nd 1??
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2. To many western officials, ________or unhappy by turns with various more colorful figures than Khamenei, and casting around for the real center of power in Irans labyrinth of the democratic and the deified, the system is equally _________.
(1) acerbic, appealing (2) dotty, abominating (3) enamoured, maddening
(4) enchanted, repulsive (5) disgusted, chaotic

just_nishu4u Says
Tamal,can u please explain the 2nd 1??

I am providing the explanation given :
The sentence highlights the Westerners confusion in understanding Irans political system. The first blank invites a term opposite to unhappiness since the author wants to bring forth a contrasting term which is hinted at by the use of the phrase by turns. On the basis of this we can eliminate options (1) and (5). If we closely scrutinize option (2) then we would realize that it is irrelevant as dotty means crazy or eccentric. Now we are left with two options- (3) and (4) as both of them have positive choices to fill in the first blank. However, on close scrutiny of the tone of the sentence we can discard (4) on the basis of the strong tone of the world repulsive as it goes against the tone and theme of the sentence. Since the sentence is talking about the confusion in the Westerners mind, maddening fits appropriately, making (3) the correct answer choice.
70

1. Companies have been using the outsource model in order to lower production and service costs, consequently, taking away jobs from their own countrymen. Market analysts observe that this trend is vexing many employees and customers. Hence, they urge companies to minimize their outsourcing. But, to receive tax exemption from the government, companies must have setup at least twenty outsourcing units.
Assuming that the above argument is true, identify which of the following conclusions is supported by the argument?
(1) Companies are unable to realize that many of their employees also form a part of their loyal customer base.
(2) The government is eventually thinking about the benefit of the people and is justified in giving tax exemption to companies that use the outsource model.
(3) Minimizing costs is the key to running a successful business which is what most people fail to see.
(4) The tax exemption rules of the government work against its own people by causing companies to set outsource units.
(5) Businesses are all about making profits, eventually, they cause vexation to someone or the other.

2. It was co-incidental that two separate teams of scientists discovered the remains of tyrannosauruses on two separate locations of the same island. The first team found that the tyrannosaurus, who was a female, had developed wings; however, it was not possible for it to fly and support its weight during its flight. The other team discovered that the tyrannosaurus, who was a male, had no traces of wings and its structure was no different from what was already known to the scientists. Eventually, both the discoveries made the scientists and island dwellers realize that the island contained many undiscovered treasures and answers.
Assuming that the above argument is true, identify which of the following statements can be inferred from the argument?
(1) There are certain islands where traces of dinosaurs and other ancient species can still be unearthed and studied to fill in the gaps.
(2) The history of evolution provides ample evidence to justify the difference among the male and female species of a race.
(3) It is possible that some female tyrannosauruses developed wings, but, whether this physical feature was only specific to females is open to further discovery.
(4) The tyrannosaurus was the only species of dinosaurs that had wings but could not fly due to their humungous bodyweight.
(5) Scientists are confident that they have already unearthed most of the information about this species of dinosaurs and can make accurate guesses.

71

Why so inactive?:-P

72

Seems like some people want to stick to old ideas.....Deleting the post

73
Hi All,
I am Mainak Bhowmik. I will be joining IIM Indore this year. I joined a new institute for my WAT/PI preparation about a month prior to my interview and the attention that I received was way beyond my expectations. If this sounds interesting, do send me a PM.


Please dont spam/pseudo advertise.

Either you can publish the name of the institute that you are so impressed with and the Mods can decide whether your post is eligible to remain..

Or just avoid courting publicity in this manner.
74

Sorry Everyone, I was a little lost with my project going live and stuff. I would really like to thank Tamal,Tanveer and every1 who kept the thread up and running.

So,lets get started from Today. A COMPLETE COMMITMENT :

QA

1. X^2 + Y^2 -XY = X + Y
How many whole number solutions would be possible (in pairs)?

2. From the first 20 natural numbers how many AP's of 5 terms can be formed such that the common difference is a factor of 5th term?

3.N1 is completely divisble by 13^52. What is the sum of digits of the smallest such number N?

Please give the detailed solutions...

75

hi kolkata puys..this is saikat. count me in. i am regular in PG. eyeing cat 2012. i am located in south kolkata, plz provide me any address or link or phone number. i want to enroll fr TIME mocks, i heard they r scheduled to commence this month.plz advice. n let me knoq if there is any study group in south?
thanks in advance.

76

Any study group in Salt Lake ?

77
hi kolkata puys..this is saikat. count me in. i am regular in PG. eyeing cat 2012. i am located in south kolkata, plz provide me any address or link or phone number. i want to enroll fr TIME mocks, i heard they r scheduled to commence this month.plz advice. n let me knoq if there is any study group in south?
thanks in advance.


This will help u out :

TIME centre
Jadavpur
42/1B/1, P.G.H. Shah Road,
Near Khastogir School,
Jadavpur, Kolkata 32

Tel : 03340630091, 8981972679
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can u tell me whether the registration is closed or not?n r they providing mock on computer or old paper pencil format?

79
saikatha Says
can u tell me whether the registration is closed or not?n r they providing mock on computer or old paper pencil format?


Registrations have just started. Time test series starts from 25th (I suppose). Cl's have already started.


Time centre's in Kolkata have changed. So go to time's website for details.
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saikatha Says
can u tell me whether the registration is closed or not?n r they providing mock on computer or old paper pencil format?


Registrations have just started. Time test series starts from 25th (I suppose). Cl's have already started.


Time centre's in Kolkata have changed. So go to time's website for details. And none of the tests are paper pencil (except 1/2 all india free aimcats). everything is computerized.
81

Hi puys,
I am Kaushal. My profile is as follows:-
class X:-76.9%
class XII:-65.2%
B.TECH(Biotech):-7.03(WBUT) 2011 pass out
Joined family business.
CAT 2010-62.49%ile(no calls)
CAT 2011-87.92%ile obc(Calls from new IIMs except Rohtak,IIT KKMR,all rejected)
Now heading for my own business agency..
Thinking of giving cat another shot.. looking for suggestions.. want an active study group to discuss and help each other.