FMS PT entrance exam Papers

How can i get Faculty of Management Studies MBA Part time entrance exam model question paper???

[Kiran Chandar]

Faculty of Management Studies MBA Part time entrance exam pattern is as given below:

The pattern of the exam includes Quantitative Aptitude,
Data Interpretation,
Analytical Reasoning,
Verbal Ability and
Reading Comprehension;
All these are covered in about 175 questions

Questions
1. If α and β are roots of the quadratic equation 2x2 + (2a – b)x – ab then α + β = ?
(A) 2a – b (B) b – 2a (C)
2
a 2 b −
(D) 2(b – a)
2. The graph of which of the following curves does not cut the x-axis?
(A) y = x2 + 1 (B) y = x2 – 1 (C) x2 + y2 = 1 (D) (x2/a2) + (x2/b2) = 1
3. If a, b, c are in geometric progression then a/bc, 2/c, 4/b are in...
(A) Arithmetic progression (B) Geometric progression
(C) Harmonic progression (D) None of these.
4. If x is a positive proper fraction, which of the following increase as x increases?
I. 1 – xx II. x – 1 III. 1/xx
(A) I & II (B) II & III (C) I & III (D) II only
5. The system of simultaneous equations
ax + by = c1
cx + dy = c2
where c1 and c2 are not zero has a solution if and only if...
(A) ad – bc = 0 (B) ad – bc ≠ 0 (C) ad – bc = 1 (D) None of these
6. To lift 765 liters of water from a well to a tank, we require 2.7 HP. What is the HP required to lift 3060
liters of water in the same time, assuming a direct linear variation?
(A) 5.4 (B) 8.1 (C) 10.8 (D) 7.5
7. If f (x) is defined on [0, 1] by the rule f (x) =
⎩ ⎨ ⎧
− irrational is x if , x 1
rational is x If , x
. Then for all x ∈ [0, 1], f (f (x)) is
(A) constant (B) 1 + x (C) x (D) None of these
8. A pole and a tower cast shadows of 2 meters and 7 meters at a particular instant. If the height of the
pole is 5 meters. What is the height of the tower?
(A) 16 m (B) 2.6 m (C) 17.5 m (D) 18 m
9. Of the following, which is equal to 36 × 5 ½?
(A) (30 + 5) × (6 × 5½) (B) (30 × 5½) + (6 × 4)
(C) (30 × 5) + (36 × ½) + (6 × 5½) (D) (36 × ½) + (30 × 5) + (6 × 5)
10. What is the least possible product of 4 different integers each of which lies between – 5and 10, both
numbers inclusive?
(A) – 5040 (B) – 3600 (C) – 720 (D) 600

11. Three containers X, Y & Z have a capacity of 10, 20 and 30 lit. respectively. X, which is empty is filled
with water from Y. Y is then filled with the wine from Z. X Is now emptied into Z. The entire operation
is repeated. What would be the strength of the wine in the container Z ?
(A) 33% (B) 25% (C) 61% (D) 50%
12. In a room, there are four persons and for their sitting arrangement there are six seats in a row then, in
how many ways can they take their places?
(A) 6C4 (B) 360 (C) 720 (D) None of these
13. The product of two numbers a and b equals one-quarter their average. What is a in terms of b?
(A) 8b + 1 (B) b2 – 8/b (C) b/(8b –1) (D) b/(4b – 2)
14. If all the children in a class pay 35 paise, they can buy enough food for a party. If another twenty
children chip in, each child need only pay 21 paise for the same total amount of food. How many
children are there in the class?
(A) 25 (B) 35 (C) 33 (D) 30
15. A dealer would like to gift a gold coin to each of his first 9 customers. He finds that one of the coins he
has is lighter than the others. What is the minimum number of time he has to use his balance to find the
defective one?
(A) 2 (B) 1 (C) 3 (D) 4
16. How many four digit numbers can be formed out of the digit 2, 3, 4, 5, 6, 7, if no digit is repeated in any
number? How many such numbers will be greater than 4000?
(A) 6P4, 320 (B) 360, 240 (C) 6C4, 300 (D) None of these
17. A woman starts from a point A and walks for a distance of 2.6 km. She then alternately turns left and
right for three times. Each time she turns left, she walks for 1 km and each time she turns right, she
walks for 1.8 km. How far is she from the starting point (approximately)?
(A) 9.5 km (B) 6.3 km (C) 8.5 km (D) 12.8 km
18. The average tax evasion of a group of 10 MP’s is 75 lakhs. Three conscientious MP’s pay their taxes
and the average of the rest rise to 1 crore. What was the average tax evaded by the three conscientious
ones?
(A) 50 lakhs (B) 75 lakhs (C) 16 2/3 lakhs (D) 1 crore
19. Of the following expressions, find the one that is not equal to the other three.
(A) 16 × √169 + 2.4 × 15 (B) (√81 × √256 × √15 × 2/3)/10 +100
(C) 67% of 300 – 52 + 13 × 6 – 10 (D) 23 × 8 + √196 + 72
20. Container A holds twice as much as container B, and container C holds as much as A and B put
together. If we start with A and B full, and C empty, and pour half the contents of A and a third of the
contents of B into container C, what fraction of C’s capacity will be filled
(A)
6
5 (B)
9
4 (C)
12
5 (D)
12
7
21. How many words can be formed by taking all the letters from “MICROSOFTWORD” if the consonants
are always written together?
(A) (6! × 8!)/96 (B) (6 ! × 9!)/48 (C) (5! × 9!)/96 (D) None of these

22. A man borrows Rs.100 and agrees to repay the loan at 8% pa C.I, interest being levied half-yearly.
After 6 months, he decides to repay it at 5% pa interest, the interest being levied on a quarterly basis.
How much does he gain or lose in one year due to this change?
(A) Rs. 4.25 (B) Rs. 3.75 (C) Rs. 1.6 (D) Rs. 5.00
23. A investor invests a certain amount in 5% stock at Rs.70, twice the amount in 7% stock at Rs.98 and
four times the original amount 9% at Rs.70. What would be his income if he was to invest a total sum of
Rs. 10000?
(A) Rs. 1954 (B) Rs.1428 (C) Rs. 930 (D) Rs. 1041
24. The sum of all numbers between 1 to 1000 which are multiples of 3 but not divisible by 6 is...
(A) 83667 (B) 62347 (C) 56339 (D) 27336
25. For any data, which of the following is true?
(A) A.M. ≥ G.M. ≤ H.M (B) A.M ≤ G.M. ≤ H.M. (C) A.M ≥ G.M. ≥ H.M. (D) A.M. ≤ G.M. ≥ H.M.
26. Fifteen friends are to be placed in a queue. 3 of them always stand together and out of remaining 12, 2
of them don’t want to stand together. Then number of possible arrangements are:
(A) P(12, 3) X 2! (B) 12! 3! X 11 (C) 12!3!2! (D) None of these
27. A goods train runs 668 meters, 127 meters, 208 meters, 312 meters and 535 meters respectively in the
first five minutes, and for the next five minutes maintains an average speed of 36 km per hour. The
average speed of the train per hour during this period was
(A) 28.6 km/hr (B) 31.4 km/hr (C) 29.1 km/hr (D) 18.8 km/hr
28. The sum of the ages of 10 boys is 100 and each of them differs by 4yrs from the average. Then the no
of boys having age more than the average age is...
(A) 0 (B) 10 (C) 5 (D) cannot be determined
29. If each observation value in a given set of observations with mean as x is multiplied by a constant a and
c is then subtracted from it then the new mean of these new values will be:
(A) does not change (B) ax – c (C) ax + c (D) cannot be determined
30. From a vessel containing 60 liters of pure wine, 4 liters are drawn out and replaced by water: 4 liters of
the mixture are again drawn out and replaced with water. What is the ratio of wine to water in the
resultant mixture?
(A) 4 : 3 (B) 17 : 4 (C) 196 : 29 (D) 21 : 5
31. A thief steals a car at 1.30 P.M. and drives it @ 40 km. per hour. The theft is discovered half an hour
later and the owner set off in another car @ 50 km an hour. When will he overtake thief?
(A) 3:15 P.M. (B) 3:30 P.M. (C) 4 P.M. (D) 4:30 P.M.
32. If the area of triangle with base X is equal to the area of square with side X, then the altitude of the
triangle is
(A) X/2 (B) X (C) 2X (D) 3X
33. When simplified
[(2/3)2] 3 × (1/3)–4 × 3–1 × 1/6
(A) 27/48 (B) 32/81 (C) 9/16 (D) 16/27.

34. A hunter has just returned after day's bird shooting. His wife asked, how many birds he had in his bag.
He says, "They are all sparrows but six, all pigeons but six and all doves but six". How many minimum
numbers of birds could he have in his bag?
(A) 18 (B) 9 (C) 6 (D) Indeterminable
35. The value of (√2 – 1) / (√2 + 1) is
(A) 3 – 2√2 (B) 3 + √2 (C) 1/√2 (D) 1.632
36. A closed metallic cylindrical box is 1.25 m high and its base radius is 35 cm. if the sheet metal costs
Rs.80 per m2, the cost of the material used in the box is
(A) Rs. 281.60 (B) Rs. 290 (C) Rs. 340.50 (D) Rs. 500
37. A streamer goes downstream and covers the distance between two ports in 4 hours while it covers the
same distance upstream in 5 hours. If the speed of the stream is 2 km per hour, the speed of the streamer
in still water is
(A) 24 km/hr (B) 18 km/hr (C) 36 km/hr (D) 16 km/hr
38. Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet
is 12m, the distance between their tops is
(A) 13 m (B) 17 m (C) 23 m (D) 27 m
39. The numerator of a rational number is less than its denominator by 3. If the numerator becomes three
times and the denominator is increased by 20, the number becomes 1/8. The original number is
(A) 1/4 (B) 7/10 (C) 11/14 (D) 5/8
40. The numbers that can be formed in between 600 and 700 with digits 0-9 where 7 occurs in exactly one
of the positions (repetition is allowed) is:
(A) 18 (B) 63 (C) 16 (D) 54
41. The length of a rectangle exceeds its breadth by 9 cm. If the length and the breadth are increased by 3
cm each, the area of the new rectangle will be 84 cm2 more than that of the given rectangle. The length
of the given rectangle is
(A) 14 cm (B) 21 cm (C) 17 cm (D) None of these
42. In the figure shown, each edge of ∆ BCD has length 1,
D lies on AC , and ∠ABC = 90o. Find AB.
(A) 1 (B) 3/2
(C) 2 (D) 3
43. For an arbitrary real number x, we define [x] to be the greatest integer less than or equal to x. Let a and
b be positive real numbers such that a . [a] = 17 and b . [b] = 11. What is the value of a – b?
(A) 1/3 (B) ½ (C) 9/17 (D) 7/12
44. A canvas of 1.5 m width is used to make a conical tent of 10m diameter and 6.3 m slant height. If the
canvas is purchased at the rate of Rs.20 per metre, the total cost of canvas for making the tent is
(A) Rs.1204.50 (B) Rs.1320 (C) Rs.2120 (D) Rs.1750


45. In the month of January, the Railway Police caught 4000 ticket-less travelers, in February, the number
rose by 5%. However, due to constant vigil by the Police and Railway staff, the number reduced by 5%
in March, and in April it further reduced by 10%. The total number of ticket-less travelers caught in the
month of April was
(A) 3575 (B) 3255 (C) 3591 (D) 3125
46. Seven times a given two-digit number is equal to four times the number obtained by interchanging the
digits, and the difference of the digits is 3. The number is
(A) 85 (B) 63 (C) 47 (D) 36
47. How many three digits numbers formed by using the digits 5, 6 and 7 are odd?
(A) 4 (B) 9 (C) 18 (D) None of these
48. Of the six towns, C is larger than A, H is larger than N, J is not as large as H but is larger than A, A is
smaller than P but larger than S. Which is the smallest town?
(A) A (B) P (C) S (D) Insufficient data
49. A man goes 150 m to the east and then 200 m to the north. How far is he from the starting point?
(A) 250 m (B) 225 m (C) 375 m (D) 175 m
50. A field is 80 m long and 50 m broad. In one corner of the field, a pit 10 m long, 8 m broad and 9.8 m
deep is dug out. The earth taken out of it is evenly spread over the remaining part of the field. The level
of the field rises by
(A) 20 cm (B) 15.3 cm (C) 25.7 cm (D) 13 cm



For detailed paper here is attachment:

I am looking for the entrance paper for Faculty of Management Studies’s part time course admission, will you please share it.

[Arun Vats]

As per your request, I am forwarding you Faculty of Management Studies entrance exam paper question, I hope that questions will fruitful for you.

How many images will MIP transmit to earth in one hour if capturing the images and transmitting these are not done simultaneously?
A. 400
B. 500
C. 600
D. 700

Which company’s printing offer is the cheapest if the ISRO chooses to pay per hour?
A. Agfa
B. Kodak
C. Cannon
D. Both Agfa and Kodak

Recently smoking at public places is declared as an offence. Delhi Police has started imposing a penalty against smoking in public and has eight raid teams in place. In a surprise check, the raid team caught 40 people smoking in the Connaught Place area of Delhi. The standard deviation and sum of squares of the amount found in their pockets were Rs. 10 and Rs. 40000, respectively. If the total fine imposed on these offenders is equal to the total amount found in their pockets and the fine imposed is uniform, what is the amount that each offender will have to pay as fine?

A. Rs. 90
B. Rs. 60
C. Rs. 30
D. Rs. 15

The Vice-Chancellor of University of Delhi decided to form a committee to look into the feasibility of introduction of semester systems at the under-graduate level in the University. 5 members from the Executive Council and 7 members of the Academic Council were found suitable for the job. In how many ways can the Vice-Chancellor form a committee of 6 members such that at least 4 members of the committee belong to the Academic Council?

A. 462
B. 422
C. 412
D. 442

A flight of Jet Airways from Delhi to Mumbai has an average speed of 700 kilometres per hour without any stoppage, whereas a flight of Kingfisher from Delhi to Mumbai has an average speed of 560 kilometres per hour with stoppage at Baroda. What is the average stoppage time per hour of Kingfisher flight if both the planes fly at the same speed?

A. 8 minutes
B. 12 minutes
C. 16 minutes
D. 24 minutes

A 500-gram stone was dropped from the roof of a building. What is the height of the building if the stone reached the ground in 4 seconds?

A. 108.4 metres
B. 98.4 metres
C. 88.4 metres
D. 78.4 metres

Due to the recent global financial crisis, many companies in the field of IT Services offer jobs on contractual basis with a clause of fine for the leave taken by the employee. An ITS company employs an engineer for 290 days on a salary of Rs. 500 for eight hours work per day, and the engineer has to pay a fine of Rs.50 for each hour of his absence. The engineer may compensate his one-day absence by working 4 hours extra for two days. If the engineer receives Rs. 1,32,400 at the end of the contract, how many hours was he absent from his job?

A. 110 hours
B. 112 hours
C. 114 hours
D. 118 hours

Giving computer education in primary schools is a waste of money. Some private schools fleece parents in the name of computer education. Government should better use its resources in appointing more teachers and creating facilities. Children in primary schools are too young to learn how to use computers effectively. They need to learn the basics like numbers, arithmetic, reading and writing.

Which of the following, if true, would weaken the speaker‟s argument?

A. Computers can be used to enhance learning in arithmetic and language
B. A study on preference of general public towards computers in primary schools
C. Reports on computer illiteracy among teachers
D. Students in USA have designed a new microchip


The driving force of evolution, according to the emerging new theory, is not to be found in the chance events of random mutations but in life’s inherent tendency to create novelty, in the spontaneous emergence of increasing complexity and order. Once this fundamental new insight has been understood, we can then ask: What are the avenues in which evolution’s creativity expresses itself?

The answer to this question comes not only from molecular biology but also, and even more importantly, from microbiology, from the study of the planetary web of the myriads of micro- organisms that were the only forms of life during the first two billion years of evolution. During those two billion years, bacteria continually transformed the Earth’s surface and atmosphere and, in so doing, invented all of life’s essential biotechnologies, including fermentation, photosynthesis, nitrogen fixation, respiration, and rotary devices for rapid motion.

During the past three decades, extensive research in microbiology has revealed three major avenues of evolution. The first, but least important, is the random mutation of genes, the centerpiece of neo-Darwinian theory. Gene mutation is caused by a chance error in the self- replication of DNA, when the two chains of the DNA’s double helix separate and each of them serves as a template for the construction of a new complementary chain.

It has been estimated that those chance errors occur at a rate of about one per several hundred million cells in each generation. This frequency does not seem to be sufficient to explain the evolution of the great diversity of life forms, given the well-known fact that most mutations are harmful, and only very few result in useful variations.

In the case of bacteria the situation is different, because bacterium divides so rapidly. Fast bacteria can divide about every twenty minutes, so that in principle several billion individual bacteria can be generated from a single cell in less than a day. Because of this enormous’ rate of reproduction, a single successful bacterial mutant can spread rapidly through its environment, and mutation is indeed an important evolutionary avenue for bacteria.

However, bacteria have developed a second avenue of evolutionary creativity that is vastly more effective than random mutation. They freely pass hereditary traits from one to another in a global exchange network of incredible power and efficiency. Here is how Lynn Margulis and Dorion Sagan describe it:

Over the past fifty years or so, scientists have observed that [bacteria] routinely and rapidly transfer different bits of genetic material to other individuals. Each bacterium at any given time has the use of accessory genes, visiting from sometimes very different strains, which perform functions that its own DNA may not cover. Some of the genetic bits are recombined with the cell’s native genes; others are passed on again. As a result of this ability, all the world’s bacteria essentially have access to a single gene pool and hence to the adaptive mechanisms of the entire bacterial kingdom.

This global trading of genes, technically known as DNA recombination, must rank as one of the most astonishing discoveries of modern biology. ‘If the genetic properties of the microcosm were applied to larger creatures, we would have a science-fiction world,’ write Margulis and Sagan, ‘in which green plants could share genes for photosynthesis with nearby mushrooms, or where people could- exude perfumes; or grow ivory by picking up genes from a rose or a walrus.’

The speed with which drug resistance spreads among bacterial communities is dramatic proof that the .efficiency of their communications network is vastly superior to that of adaptation through mutations. Bacteria are able to adapt to environmental changes in a few years where larger organisms would need thousands of years of evolutionary adaptation. Thus microbiology teaches us the sobering lesson that technologies like genetic engineering and a global communications network, which we consider to be advanced achievements of our modern civilization, have been used by the planetary web of bacteria for billions of years to regulate life on Earth.

The constant trading of genes among bacteria results in an amazing variety of genetic structures besides their main strand of DNA. These include the formation of viruses, which are not full autopoietic systems but consist merely of a stretch of DNA or RNA in a protein coating. In fact, Canadian bacteriologist Sorin Sonea has argued that bacteria, strictly speaking, should not be classified into species, since all of their strains can potentially share hereditary traits and, typically, change up to fifteen percent of their genetic material on a daily basis. ‘A bacterium is not a unicellular organism,’ writes Sonea, ‘it is an incomplete cell belonging to different chimeras according to circumstances. In other words, all bacteria are part of a single microcosmic web of life’.

Regarding diseases caused by bacteria and virus and their eradication by medical science which conclusion is valid?

A. Medical science generally remains ahead of bacteria and virus
B. Bacteria and virus are generally ahead of medical science
C. Bacteria and virus are not only ahead, but manage to undo something that medical science have achieved
D. Bacteria and virus, and medical science are equal