Here I am looking for the previous year question paper of Hyderabad Central University (HCU) – MCA Entrance Exam, can you please provide me the same???

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In a village having 5000 people, 100 people suffer from the disease Hepatitis B. It is known that the accuracy of the medical test for Hepatitis B is 90%. Suppose the medical test result comes out to be positive for Anil who belongs to the village, then what is the probability that Anil is actuality having the disease.

A. 0.02

B. 0.16

c. 0.18

D. 0.3

What will be the output if 'max' is replaced by 'min' in the flow-chart?

A. (11, 2, 6,3, L2,7,8)

B. (11, L2,7,3, 2, 6, 8)

c. (2,3,6, 7, 8, 11, 12)

D. (12, 11, 8, 7, 6, 3, 2)

How many times does the interchange of a(i) with rnar{ a(x),a(y)} occur?

A.0

B. 1

c.2

D.3

Out of 300 candidates interviewed in a company, 150 have a two-wheeler,

100 have a credit card and 150 possess a mobile phone. Further, 60 of them were found to have both a two wheeler and a credit card, 50 had both a credit card and a mobile phone and 50 had both a two-wheeler and a mobile phone and 20 had all the three. How many candidates had at least one of those?

A. 40

B. 260

c. 280

D. 140

Part A

1. The numbers 1 to 100 are written in a

10 x 10 grid. The multiples for each of

the first few odd numbers - 3, b, Z, g,

11 and 13 - are coloured gray. The

multiples of which number form a nnt'inuous

line at 135' in the grid? Angles

are measured in the conventional

anti-clockwise way from the horizon*

tal line gtven by the bottom rovr of the

grid.

A. 13

B.5

c.9

D. 11

2. There is a vertical stack of books

marked L, 2, and 3 on Table A, with

1 at the bottom and 3 on top. These

are to be placed vertically on Table

B with 1 at the bottom and 2 on the

top, by making a series of moves from

one table to the other. During a move,

the topmost book, or the topmost two

books, or all the three, can be moved

from one of the tables to the other.

If there are any books on the other table,

the stack being transferred should

be placed on top of the existing books,

without changing the order of books in

the stack that is being moved in that

move. If there are no books on the

other table, the stack is simply placed

on the other table without disturbing

the order of books in it. What is the

minimum number of moves in which

the above task can be accomplished?

A. One

B. Two

C. Three

D. Four

3. A clock loses 1% time during the first

week and then gains 2Vo time during

the next one week. If the clock was

set right at 12 noon on a Sunday, what

will be the time that the clock will

show exactly 14 days from the time

it was set right?

A. 1: 36: 48

B. 1: 40: 48

C. 1: 41: 24

D. 10: 19: 12

4. A part of the divisibility test for 11 is:

sum up alternate digits (starting from

units place) and if the difference between

them is 0, the number is divisible

by 11. E.g., 1047679 gives 3 + 6 +

4+1. (:1a) andT +7 + 0 (:14), and

therefore is divisible by 11. Now, sum

up alternate pai,rs of digits (starting

from units place) and if the difference

between them is 0, then the number

is divisible by X. E.g., 466G2 gives 62 * 04 (:66) tod 66, and therefore is

divisible by X.

What is X?

A. 101

B. 11

c. 2t

D. 22

5. In any year, if April 1 is a Wednesdag

then so is

A. January 1

B. July 1

C. October 1

D. December 1

6. If. (12*22*35)lp is an integer, which of

the following CANNOT be the value

of p?

A. 15

B. 21

c. 28 10'

D. 50

There are two cubes on a table in

which the voiume of the second is half

that of the first. If the first cube occupies

a certain area (Y) on the table,

how much area (approximately) does

the second occupy?

The age of a grandfather in yeaxs is the

sarne as that of his grand-daughter's

in months. If their ages differ by 55

years, the age of the grand-daughter

is

A. 5] rrs

B. 5+ months

C. 5 years

D. None of the above 12'

Paper sizes are given by A0, A1, A2,

etc. such that A0 is two times iarger

(in area) than A1, A1 is two times

Iarger than A2 and so on. The longer

dimension of each smaller size is equal

to the shorter dimension of the larger

size. For exa,mple, the longer dimension

of A2 is the same as the shorter

dimension of A1. In this scheme if A'4

is 210 urm x 297 mm in size, what are

the dimensions of A0 in mm?

A. 840x594

B. 420x594

C.840x1188

D. None of the above

In a country with three major scooter

manufacturers, Brand C sells three

times as many as Brand A while Brand

A sells half as many as Brand B. It

implies that Brand C holds a ma,rket

share of about

A. 50%

B. 33%

c. 66%

D. None of the above

On Planet X, a year has 400 days with

a leap yea,r of 401 days every 4 years.

Also, a year ending in '00' is a leap

year only if the year is divisible by 400,

e.g, 2000 is a leap year but 3000 is not.

Such a calendar is eract and needs no

more corrections.

The length of the year on Pla,net X is

A. 400.2425 days

B. 40A.2475 days

C. 400.25 days

D. None of the above

13. A gives B a start of 10 metres in a

100 metre race and still beats him by

1.25 seconds. How long does B take to

complete the 100 metre race if A runs

at the rate of 10 m/sec?

A. 8 seconds

B. 10 seconds

C. 16.67 seconds

D. 12,5 seconds

L4. A la,rge number of people die every

year due to drinking polluted water

during the summer;

Given the two courses of action below,

which of the answers A ...D is APPROPRIATE?

I. The government should make adequate

arrangements to provide

safe drinking water to all its citizens.

II. The people should be educated

about the dangers of drinking

polluted water.

A. Both I and II follow

B. Only I follows

C. Only II follows

D. Neither I nor II follows

15. Given that D is younger than F and

older than G. A is younger than I and

older than C. I is younger than G and

older than J. J is younger than C and

older than E. F is younger than B and

older than H. H is older than D. The

youngest of all of the above is

A military general needs to take his

troop of 100 soldiers across a river

from the bank A to bank B. He engages

a boat with two boys, both of

whom can row, at the bank A. But

the boat can take only upto two boys

or only one soldier. What is tbe mi,ni,

mum number of round trips that Lhe

boat has to make, to transfer all the

100 soldiers and the general to bank

B and come back to bank A?

A. 404

B. 200

c. 202

D. 403

Mr.X lies only on saturday, sunday

and tuesday and speaks only truth on

the remaining days. On a particular

day he said, "Today being a sunday,

it is a rest day and tomorrow being

a wednesday I will go to the market".

What is the day on which this was spo'

ken by Mr.X?

A. Monday

B. T\resday

C. Fliday

D. Saturday

Consider a number 23571IL3... made

by placing in ascending order, all the

prime numbers between 2 and 30. If

this number were divided by 16, the

remainder would be:

A.1

r Q; P is telling a lie

o R: I saw P stealing

o S: I arn not the thief

A.P

B.Q

C.R

D.S

Part B A. Both sin(o/2) and cos(a /2) are

26. Let, : 1z+t$)2012 and,f :fractional rational

part of r. Then 4l - /i is equal to B. tan(a) is irrational

A. 1 C. Both sin(cr) and cos(a) are ratio_

nal

B. 2 D. None of the above

C' 2 + \fr

31. Suppose the land use pattern of an ed_ D' 7 ucational institution in the yea^r 2000

27. If.theequation xa-4rs+ax2*br+L: y5 l0% for educational buildings,

0 has four positive roots tn"o o'l i ?0y:

tot residential purposes and 50%

and b:? left as wilderness. Then the usage

pattern has changed according to the

A. 6, -4 transition probabilities every 5-years

B. -6,4 as given below:

C' 6,4

D' -6, -4 / nau Res wild \

28. Find the point at which the line I q t 0'1 0.8 I

joining the points A(3,t,-z) and I 0'2 0'2 0.6 I

B(-2,7,-4)intersects the Xy-plane. \ 0'3 0'2 0.5 )

A. (5, -6, 0) Compute the land use pattern of ed_

B. (8, -5, 0 ) ucational buildings, residentiai purc.

(1,8,0) i$ffi11#:'ff.,:il:#rr""'.:ffi:jl*

D. (4, -5, o) A. (22,17, 61); (21.9,12.6, 60.b)

io. supposeA: i- j-k,B:i- j+f B. (21, LT,,62);(2r.9, 12.6,60.b)

ll'"0"",fl"J,;: ."{.i,h;ffXl* c. izr, r:,62);(2r.e, 17.8, 58.3)

among the following: D. (22,17,6L); (23.9,17.8, 58.J)

A. A.(B x C) 32. Consider the following equalities

B. (,4 x B) .C formed for any three vectors A, B and

c- AxC c'

D. Ax B r. (A.B)C : A(B .C)

IT. (A x B) x C : A x (B x C)

30. Let a be an angle such that 0 < c < III. A.(B xC)

Ax B).C rf2 and tan(al2) is rational. Then LLL' rt

which of the following is true? fV. A x (B + C) : (A x B) + (Ax C)

A. Only I is true

B. I, III and IV are true

C. Only I and IV are true

D. All are true

33. A particle moves on a coordinate axis

with a velocity of. u(t) : t2 - 2t mf sec

at time f. The distance (in m) travelled

by the particle in 3 seconds if it

has started from rest is

A.3

8.0

c.3

D.4

is equal to

A. 1+cota

B. 1-cota

C. -1 - cota

D. *1*coto

The solution of the differential equation

H -z* - 9- +za :2r2 -2r - 4 drT 'drz dx '

A. n3 * clet * c2e2* * cae-2'

B. x2 * cles * c2e2' t cse-2'

C. 12 I c1e-r * c2ex * c3e2'

D. 13 * e1e-* * c2ex * caez'

Find the equation of the graph nA -- I

after a rotation of the a:

a"nti-clockwise in the new coordinate

system (r',A').

35,

36.

Zcota*:=:

{Leo\hl- eo/t* A

A. r,2*a,2:L

B. (n'2 /z) - (a,, /z) : t

c. (rn /2) + (y,2 /z) : 1

D. (r"lrfr) - (ynltfz): t

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