About the Test

ABOUT THE TEST

This test is based on the syllabus mentioned in the information brochure of Directorate of Technical Education, Maharashtra State for MAH-MCA-CET-2006,

2. The test is designed to test your competence in the areas of Mathematics, Analytical Ability / Logical Reasoning & Computer Awareness.

3. The questions are divided in separate sections.

4. All the questions are objective type with 4 alternatives out of which only one answer is correct, Mark the correct answer on the answer sheet. Mark the nearest answer if you think that all the answers are incorrect.

5. Each correct answer carries 4 marks & for every wrong answer 1 mark shall be deducted. (Negative Marking) If a question has not been attempted, no credit will be given / deducted.

6. Second paper is supposed to be started only after completion of first hour.

Answer marking

1. Mark your answers in the score sheet provided separately. The proper way of marking your answers is by darkening the relevant ovals completely by an HB pencil.

2. If you wish to change an answer/ rub off the old answer completely with the help of an eraser and only then mark the next answer.

PART A - GENERAL APTTTUDE (MOCK TEST- 7)

1. Given six line segments of length 1cm, 2cm, 3cm, 4cm, 5cm and 6cm. One of each length. Using any four of them, it is required to form a quadrilateral in which the sums of the lengths of opposite sides are equal. How many such quadrilaterals can be formed?

(a) 9(b) 8(c) 7(4) None of these.

2.The sum of squares of differences in ranks of marks obtained in Physics and Chemistry by 10 students in a test is 150, then the coefficient of rank correlation is given by:

(a) 0.849 (b) 0.091 (c) 0.909 (d) None of these.

3.A cube as in the figure was painted on the top, bottom, and on all the remaining sides. Then it was cut through along the lines shown in the figure Answer the following questions:

I. How many pieces of the cube were made?

II. How many pieces had only one of their faces painted?

III. How many pieces had three of their faces painted?

IV. How many pieces had none of their faces painted?

(a)(i) 27 (ii) 4 (iii) 8 (iv) 1

(b)(i) 27 (ii) 4 (iii) 6 (iv) 1

(c)(i) 27 (ii) 6 (iii) 8 (iv) 1

(d)(i) 27 (ii) 6 (iii) 8 (iv) 0

4. Cars P and Q are running in anticlockwise direction along two distinct concentric circles. The radius of the bigger circular path is times the radius of the smaller circular path. P is moving with a speed of 40 km/hr and completes one round in one hour.

At the start both P and Q are in line with O. When will they be again in the line with O if the speed of Q is 48 km, hr?

(a) 5 Hrs.(b) 6 Hrs.(c) 8 Hrs.(d) None of these.

5.In a city no two persons have identical set of teeth and there is no person without a tooth. Also no person has more than 32 teeth. If we disregard the shape and size of tooth and consider only the positioning of the teeth, then the maximum population of the city is:

(a) 232 (b) (32)2-1, (c) 232-1 (4) 23-1.

6.How many four digit number can you write at the most using digits from 0, 1, 2, 3, 4, 6, 7 and 9. So that each digit of the number is greater than the preceding digit?

(a) 24(b) 35(c) 64(d) None of these.

7. Anil and Sunil borrowed two books from a library. One of 312 pages and the other of 504 pages. Anil's rate of reading was slower than that of Sunil. They read for 6 hours a day and completed reading the book in the same number of days. How many pages at the most did Anil read in one hour?'

(a) 21 pages (b) 17 pages (c) 13 pages(d) N.O.T.

8. Maganlal has a money pouch containing Rs.700/-. There are equal number of 25 paise coins, 50 paise coins, and one rupee coins. Is it possible? If yes then, how many of each are there?

(a) Not possible (b) 380 (c) 420(d) N.O.T.

9. The domain of the function

f(x) = log10 log10(1+x2) is:

(a) (-1, + )(b) (0, + ) (c) (0, + )(d) (-1, 0).

10. Walking at 5/7th of his usual speed, a person reaches his office 12 minutes late. What is his usual 1 time of walking the distance to his office?

(1) 15 minutes(2) 60 minutes

11. In the adjoining figure A, B, and C are respectively. All angles in the figure are figure.

(a) 77 sq. cm. (b) 66.75 sq. cm.

12.An. Ant started her journey from (4, 0). First she traveled 15 meters towards west and then 7 meters towards south. Then she traveled 5 meters east and than 3 meters north. State the place where she reached according to the above notation..

(a) (-11, 7) (b) (-6, 4) (c) (-6, -4) (d) (6, 4)

13. A man purchased a tape-recorder and a speaker for a total cost of Rs.3500. He sold the tape-recorder at 25o/o profit and the speaker at profit. The total profit in the deal came out at 20% what was the cost price of tape recorder?

(a) Rs.2500 (b) Rs.2000 (c) Rs. 1500 (d) none of these

14.A, B, C, D, and E are five consecutive odd number. Operation # means average of two numbers .

Now If {[(A#B)#C]#D}#E=

Find the value of C.

(a) 27 (b) 23 (c) 19 (d) none of these

15. Select whichever word you consider most appropriate for the blank space and indicate your choice.

Authority ...... when it is not supported by the moral purity of its user.

(a) Empowers (b) crumbles

16. 21 Guavas and 21 Chikus together cost as mush as 28 apples. If equal numbers of all the three kinds of fruit is to be purchased spending the same amount, how many of each kind can be had?

(a) 10 (b) 12(c) 14 (d) None of these.

17. A number 22 in a number system having base (or radix) 5 is equivalent to number 10X in a number system having base X. If X is one-digit positive number in decimal system. Find the value of 'X' in decimal number system.

(a) 3(b) 2(c) 6(d) none of these

18. The coefficient of x99 in:

(x + 1) (x + 3) (x + 5) ….. (x + 199) is :

(a)1 + 2 + 3 + …. + 99

(b)1 + 3 + 5 + … + 199

(d)None of these

19. Two clocks were set right at 6 o'clock on one day. One of the clocks gains 3 minutes per day, while the other loses 7 minutes per day. When would both the clocks show 6 o'clock time at the earliest?

(a) 72 days (b) 144 days (c) 210 days (d) N.O.T

20.If

K S 6

+ K S S

+ 6 K S

U T S

(K, S, T, And U are the integers between 0 to 9)

Find the number UTS

(1) 984 (b) 604 (c) 904 (d) 946

21. The general solution of the differential equation :

x(1+y2) dx+y(1+x2) dy = 0 is:

(a) (1 + x2) (1 + y2) = c (b) (1 + x2) = c(1 + y2)

22. Read the following passage carefully and answer the question given below.

The Rajputs occupy an honoured place in the history of India. They Were a warlike people, brave, proud and patriotic. They were jealous of their honour and would lay down their lives to uphold it. They loved their homes and fought bravely to defend the honour of their womenfolk. No(ring could tame their spirits. Danger only called forth their courage and poverty only increased their power of resistance. None could fight like them. Their motto was: "Better death than dishnour”

The expression "tame their spirits" in the passage means

(a)encourage their enthusiasm.

(b)develop their courage.

(c)curb their enthusiasm.

(d)destroy their ideas.

23. If (1, 3), (2, 5) and (3, 3) are three elements of A X B and the total number of elements in A X B is 6, then the remaining elements of A X B are :

(a) (1, 5) (2, 3), (3, 5) (b) (5,1) (3,2), (5,3)

24. A square is formed by following two pairs of st. lines:

y2 – 14y + 45 = 0 or x2 – 8x + 12 = 0. A circle is inscribed in it. The center of the circle is :

(a) (7, 4) (b) (4, 7) (c) (3, 4) (d)

25. The interior angles of a convex polygon are in A.P., the common difference being 5. If the smallest angle is , then the number of sides is:

(a) 9 (b) 16 (c) 7 (d) None of these

26. Which of the following is considered a direct-entry input device?

(a) optical scanner(b) light pen

27. Which of the following file organization is most efficient for a file with a high degree of file activity?

(a) sequential(b) ISAM

28. The parity bit is added for ...... purposes.

(a) coding (b) indexing

(c)error-detection (d)controlling

29. The technique of placing software or programs in ROM semiconductor chip is called?

(a) PROM(b) EPROM

30. A programmer, by mistake, writes an instruction to add, instead of subtract. Such an error can be detected by a/an.

(a) Interpreter(b) Complier

(3) Both Compiler and Interpreter

(d) Neither complier nor Interpreter

31. Who allows users to continue to operate computers while printing is in progress?

(a) job control program (2) OS supervisor

32. The coding scheme which is able to store only 26 capital letters, 26 small letters, 10 digits & 2 special characters is known as

(a) BCD (b) ASCII (c) EBCDIC (d) Unicode

33.Find the minimum equivalent of the number 34.

(a) 28 (b) 19 (c) 52 (d) 16

34.An OR gate will function as AND gates if …

(a) All the inputs are “0” (b) A NOT gate is added to it.

35. Given MAR = 14 bit & MDR = 32 bit, what will be the word size & memory size?

(a) 1 byte 32k(b)-32 bit 16k

36. Find the output of the following program if the address of x is 1000

# include <stdio.h>

void main( )

{

char *px, x;

px = &x;

x = 'A';

printf(“%x %c %c”, px, *px, x);

}

(a) junk values(b) any number A A (c) 1000 A A (d) error

37. Output of the following

# include<stdio.h>

void main ( )

{

int n = 0, y = 10;

for (n = 1 ;n<10,y-- ;n++);

printf(" \n y = %d ", y) ;

}

(a) 1 (b) 0(c) – 1 (d) error

38. Which of the following is not true statement?

(a)An extern storage class variable is not available to the functions that precedes its definition, unless the Variable is explicitly declared in these functions

(b)A macro must always be written in capital letters

(c)After preprocessing when the program is sent for compilation the macros are removed from the expanded source code. i'

(d)A char type has an equivalent integer interpretation; so it is really special kind of short integer.

39.Find out the false statement

(a)If an integer variable is assigned a decimal value, it is not possible to print its hexadecimal equivalent without writing a program for the necessary conversion

(b)If x is an integer variable and Px is a pointer, the statement Px = 8x assigns the address of x to Px.

(c)Recursive calls to a function are executed in a Last In first Out manner.

(d)Arrays cannot be returned by functions, however pointers to arrays can be returned

40.Write output of the following.

# include <stdio.h>

void main ( )

{

int i, x;

i = 0;

For (x = 10; x > = 1; --x)

{

i++;

Printf(“%d\n”, i);

}

(a) 1 2 3 … 10 (b) 10 9 8 … 1

41.Given a 7 digit telephone number, you will convert it to

(a) ACII code (b) EBCDIC code

(d) Either ASCII or EBCDIC code

42.Multiply Binary no- 11001010 with Hexadecimal no- 2FA and give answer in Octal no.

(a) 454545 (b) 455445 (c) 454504 (d) 454500

43.Consider a 9 track magnetic tape with 800 bpi and quarter inch inter block gaps. Assume that 80 byte records are to be stored on a 2400 ft tape. How many records could be stored on the tape if a blocking factor of 15 records per block were used?

(a) 685 K records (b) 288 K records

44.Find out the total number of bytes of data that can be stored on 9 track tape of length of 2000 feet, block size = 2400 bytes, density = 1600 bpi and the inter block gap (IBG) = 0.5 inches.

(a) 28.8 million (b) 30 million

45.Suppose that a disk pack has a capacity of 1 Gbytes and is made up of 20 surfaces. There are 400 tracks/surface. The drive rotates the pack at 1200 RPM. The average seek time is 20 ms. Calculate the transfer rate and latency time.

(a) 3 MB 35Ms (b) 1 MB 1.1 Ms

46.Extended ASCII coding a word contains 32 bits. For its representation in binary notation, the number of bytes require is

(a) 1 (b) 2 (c) 3 (d) 4

47.An impact printer that uses an interchangeable, rotating printing unit for hardcopy output is the :

(a) thermal printer (b) wire-matrix printer

48.Spooling helps because

(a)It is a more secure method of accessing data

(b)Print jobs go more smoothly with less stop and go

(c)The computer is released to do other things while still printing

(d)None of the above.

49.Which of the following memory requires refreshing cycle?

(a) RAM (b) ROM

50.The process of executive several programs simultaneously by use of more than one processing unit is known as.

(a) Multiprogramming (b) multiprocessing

MCA Sample paper

Sample Test Paper (MH-MCA-CET)

1.The cost of the diamond varies directly as the square of its weight. If a diamond’ costing Rs. 75,000 is broken into two pieces, weighing in the ratio of 3 : 2, then find the loss in its cost price.

(a) Rs. 0(b) Rs. 36,000

2.In the given figure  PQRS is a square and  PTS is equilateral. Find the measure of QTR.

(a) 60(b)

3.If A = {, {}}, then the power set of A is :

(a) A

(b) {, {}, A}

(d) N.O.T.

4.A horse and a donkey, both carrying heavy loads, were walking side by side. The horse complained of its heavy load. “What are you complaining for?” asked the donkey and said. “If I take one sack off your back, my load will be come twice as heavy as yours. But if you remove one sack from my back, you load will be the same as mine”. How many sacks was the donkey carrying?

(a) 7(b) 6(c) 5(d) N.O.T.

5.Find the area of the shaded portion in the figure with the help of the given information in it.

(a) 502 sq. cm (b) 546 sq. cm

6.A passenger train, running on parallel rails, in the same direction as a goods train, overtakes the goods train in 1 minute and 24 seconds. Their speeds are 70 km/hr and 55 km/hr respectively. If their length’s are in the ratio of 2 : 3. Find the length of the passenger train.

(a) 210 meters (b) 140 meters

7.The range of the function f(x) = cos[x], -/4 < x < /4, where [x] denotes the greatest integer < x, is:

(a) {1, cos 1} (b) {0, - cos 1}

8.How many triangles of any size are there in this star?

(a) 14(b) 20(c) 22(d) N.O.T.

9.Seven different lecturers are to deliver lectures in seven periods of a class on a particular day. X, Y and Z are three of the lectures. The number of ways in which a routine for the day can be made such that X delivers his lecture before Y and Y before Z, is:

(a) 420(b) 120(c) 210(d) N.O.T.

10.Rambal engaged the services of Shiva at a salary of Rs. 240 a month consisting of 30 days. However, he set a condition that he would forfeit Rs. 10 for each day that he idled. Shiva accepted the job. At the end of the month it was found that neither owed the other anything. For how many days Shiva worked?

(a) 24 days (b) 20 days

11.In the figure, the regular hexagon and the equilateral triangle have the same perimeter, find the ratio of the area of hexagon to the area of triangle

(a) 1(b) 1/2(c) 3/2(d) N.O.T.

12.Of the three clocks, the time shown by one of them is wrongly 3 minutes, by 1 minute in the second and by 7 minutes in the third. The times shown by the three clocks not necessarily in the same order are six minutes to twelve, 2 minutes past twelve and 8 minutes to twelve. What is the correct time?

(a) 12:00 (b) 11:52 (c) 11:55 (d) 11:57

13.In the sequence 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, …….., where n consecutive terms have the value n, the 150th term is :

(a) 17(b) 16(c) 18(d) N.O.T.

14.x and y are natural numbers such that 385x = y(y + 1). Determine the least value of y

(a) 12(b) 25(c) 30(d) N.O.T.

15.Which largest number will leave equal remainders when 2718, 3875 and 4486 are divided by it? And what is the common remainder?

(a) 11, 1 (b) 12, 6(c) 13, 1 (d) 29, 21

16.If x is positive, the first negative term in the expansion of (1 + X)27/5 is :

(a) 5th term (b) 8th term

17.A glass contains some water. Another glass contains milk of the same volume of water in the first glass. Some water from the first glass is transferred to the second glass and the mixture is stirred well. Then the same quantity of mixture is transferred from second glass to the first glass. What is the quantity of milk in the first glass as compared to the quantity of water in second glass?

(a)milk is greater than water.

(b)Water is greater than milk.

(c)Both are same

(d)It is impossible to determine

18.Every triangle in the accompanying figure is equilateral. If the area of the shaded equilateral is 1 sq. cm. What is the sum of the area of all equilateral triangle in the figure?

(a) 64 sq. cm (b) 148 sq. cm

19.The function satisfies the differential equation:

(a)

(b)

(c)

(d) N.O.T.

20.Amit can do a piece of work in 12 days while Mandar does that work in 8 days only. Amit and Mandar start doing that piece of work together, but Mandar leaves the work and goes away after the first four days. In how many days will Amit complete the work?

(a) 2 days (b) 3 days

21.A ray of light incident at the point (-2, -1) gets reflected from the tangent at (0, -1) to the circle x2 + y2 = 1. Then reflected ray touches the circle. The equation of the line along which the incident ray moved is :

(a) 3x + 4y + 11 = 0 (b) 3x + 4y – 11 = 0

22.Simplify

(ab2 – cd2) (c2d4 + ad2. cb2 + b4a2)

(a)a4b5 + c3d5 – a2b2 c2d2

(b)a3b6 – c3d6

(c)a2b4cd2 + ab4c4d2 – ad2c4 + b4ac2d2

(d)N.O.T.

23.The A.M. of n observations is M. If the sum of n – 4 observations is a, then the mean of remaining 4 observations is :

(a) (b)

24.Read the following passage carefully and answer the question given bellow. The desire to explore and. experiment, so essential to the scientific temperament, characterizes America from its very beginning. But during its early history. America’s contributions to the sciences were negligible. America did not have the social organizations, educational institutions, intellectural sophistication needed for mature scientific research. There were few men in the American colonies lo compare with" Europe's men of science. A shortage of labour was on incentive to invent, yet the inventions in Colonical America were neither many nor important. A lock of mechanical industry mode America dependent. upon handicrafts; yet colonicol craftsmanship' was for inferior to that of Europe. The trouble was Americans tended to be "Jacks-of-all-trades".

The connection between mechanised industry and cottage industry may he stated as the

following.

(a) Mechanised industry adversely effects the growth of cottage industry.

(b) Mechanised industry encourages cottage industry.

(d) Mechanised industry suffers when cottage industry grows.

25.Choose the word which is most OPPOSITE in meaning.

UPHOLD

(a) Lessen

(b) Sharpen

(d)Weaken

Do not start Part B in First 60 Minutes

PART B - COMPTUTER Concepts

26. At compilation stage which of the following error message con be expected

(a) Arithmetic overflow

(b) Defined variable not used

(d) Both (b) and (c)

27.Find the output, of the following program

# include <stdio.h>

void main0

{int *pi, i;

pi = &i;

for(i=0;i< 10;++i)

printf( %d\n” , *pi);

}

(a) 123... l0

{b) 012...9

(d) Run time error

28.Divide Hexadecimal no- 58CDE by Octal ' no- 255 and give the answer in Decimal

(a) 21 00

(b) 2r 03

(d) 21 02

29.Which gate gives output as 1 when only one of the input is 0

(a) NAND

(b) NOR

(c)AND

(d) Both (a) and (b)

30. Real time computing is possible because of the following characteristic of computer

(a) High speed

(b) Accuracy

(d) Automatic in execution

31.Floating numbers in a computer are represented using and 10 bit mantissa (including a sign bit) and 6 bit exponent (including a sign bit). What is the approximate value of the maximum number that can be represented? (Assume that mantissa is stored in normalized form)

(a) 2128(b) 263(c) 2127(d) 231

32.Whenever the main memory is being accessed for reading / writing the minimum size of data transferred is