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Correct Method of shading the circle on the OMR answer sheet is as shown below
POST GRADUATE COMMON ENTRANCE TEST-2017
DATE COURSE TIME
02-07-2017 MCA 10.30 a.m. to 12.30 p.m.
MAXIMUM MARKS TOTAL DURATION MAXIMUM TIME FOR ANSWERING
100 150 Minutes 120 Minutes
MENTION YOUR PGCE1 NO. QUESTION BOOKLET DETAILS
VERSION CODE SERIAL NUMBER
B - 1 152130
•DO's :
1. Check whether the PGC ET No. has been entered and shaded in the respective circles on the OMR answer sheet.
2. This Question Booklet is issued to you by the invigilator after the 2"" Bell i.e., after 10.25 a.m.
3. The Serial Number of this question booklet should be entered on the OMR answer sheet and the respective
circles should also be shaded completely.
4. The Version Code of this question booklet should be entered on the OMR answer sheet and the respective circles
should also be shaded completely.
5. Compulsorily sign at the bottom portion of the OMR answer sheet in the space provided.
DON'Ts :
1. THE TIMING AND MARKS PRINTED ON THE OMR ANSWER SHEET SHOULD NOT BE
DAMAGED / N1UTILATED / SPOILED.
The.3" Bell rings at 10.30 a.m., till then;
• Do not remove the paper seal i polythene bag of this question booklet.
• Do not look inside this question booklet.
• Do not start answering on the OMR, answer sheet.
IMPORTANT INSTRUCTIONS TO CANDIDATES
1. This question booklet contains 80 (items) questions and each question will have one statement and four answers.
(Four different options / responses.)
2. After the 3"' Bell is rung at 10.30 a.m., remove the paper seal / polythene bag of this question booklet and check
that this booklet does not have any unprinted or torn or missing pages or items etc., if so, get it replaced by a
complete test booklet. Read each item and start answering on the OMR answer sheet.
3. During the subsequent 120 minutes:
• Read each question (item) carefully.
• Choose one correct answer from out of the four available responses (options / choices) given under
each question / item. In case you feel that there is more than one correct response, mark the response
which you consider the best. In any case, choose only one response for each item.
• Completely darken / shade the relevant circle with a BLUE OR BLACK INK BALLPOINT PEN
against the question number on the OMR answer sheet.
4. Use the space provided on each page of the question booklet for Rough Work. Do not use the OMR answer sheet
for the same.
5. After the last Bell is rung at 12.30 p.m.,stop marking on the OMR answer sheet and affix your left hand thumb
impression on the OMR answer sheet as per the instructions.
6. Handover the OMR ANSWER SHEET to the room invigilator as it is.
7. After separating the top sheet (KEA copy), the invigilator will return the bottom sheet replica (Candidate's copy)
to you to carry home for self-evaluation.
8. Preserve t le replica of the OMR answer sheet for a minimum period ofON E year.
Marks Distribution
PART-1 : 60 QUESTIONS CARRY ONE MARK EACH (I TO 60)
PART-2 : 20 QUESTIONS CARRY TWO MARKS EACH (61 TO 80)
1111111111111111111111111111
(A) ± i
(C)
—1±15
If tan 0 = 3, 0 lies in the 3rd quadrant,
the value of see 0 is
(A)
1
VI 0
(B)
Io
(C)
—3
VI 0
—5
(D)
MCA
PART— 1
Each question carry one mark. (60 x 1 = 60)
1. Convert 240° into radians
17r
(A) --
3
3. The roots of x2 + x + 1 = 0 are
(C) +13-i
(D)
(D)
7K
3
4. Value of 7! — 5! is
(A) 4920
(B) 4940
(C) 4900
(D) 4930
5. How many 4 digit numbers can be
formed using the digits I to 9 if
repetitions are not allowed ?
(A) 3024
(B) 3026
(C) 3040
(D) 3014
Space For Rough Work
MCA 3 B-I
(A)
(B)
(C)
(D)
6. The middle term in the expansion of
7. A (lie is rolled 3 times. What is the
probability of getting 6 atleast once
125
216
91
(B)
216
(C) it
(D) 1
8. The angle between two vectors
a- & b with magnitude 3 and 4,
and a▪ • b = 2,,a is
(D)
9. is not an operating system.
(A) Dos
(B) Solaris
(C) Linux
(D) Google
is not a data coding
technique.
(A) BCD
(B) EBCDIC
(C) ANSI
(D) ASCII
11. ASCII stands for coding
technique.
(A) American Standard Codes
Information Interchange
(B) American Solution for Coding
Information Interchange
(C) American Society for Coding
Inlbrmation Interchange
(D) American Society for Coding
Information Interpretation
(A)
10.
Space For Rough Work
B-1 4 N1CA
12. GUI stands for
(A) Gaming Utility 'Interface
(B) Graphical User Interface
(C) General Utility Interthce
15. ANSI stands for
(A) Advance National Standard
Institute
(B) American Nation Standard
Institute
(C) All Nation Standard Institute
(D) Group User Interface
(D) All Nations Squad for
Investigation
13. E-mail stands for
(A) Electric
(B) Electronic
(C) Engineering
(D) Exchange
14. VOIP means
(A) Very Over Important Person
(B) Very Online Important Person
(C) Voice On Internet Protocol
(D) Voice Over Internet Protocol
16. A picture is worth a thousand words :
this saying goes correctly with
(A) Coding
(B) Algorithm
(C) Flowchart
(D) Documenting
17. The process of locating an error in a
program is known as
(A) Testing
(B) Debugging
(C) Maintenance
(D) Development
mail.
Space For Rough Work
5 B-1MCA
18. The process of uploading the data during
the occurrence of an event/transaction is
known as processing.
(A) offline
(B) online
(C) batch
(D) remote
19. UPS is a device.
(A) Data backup
(B) Processing backup
(C) Power backup
(D) Communication backup
21. Ebola is the name of a
(A) Computer virus
(B) Biological virus
(C) Malware
(D) Software
22. Embedded systems are
(A) Embedding software into
hardware
(B) Embedding hardware into
software
(C) Embedding computer into
human
(D) Embedding robo into humans
20. Government of India has proposed to
implement GST Which means
(A) Government Sales Tax
(B) General Service Tax
(C) Goods Service Tax
(D) Government Service Tax
23. POK stands for
(A) Pakistan Occupied Kashmir
(B) Pakistan Occupied Kazakhstan
(C) Pakistan Occupied Kabul
(D) Pakistan Occupied Kuwait
Space For Rough Work
B-1 6 MCA
24. A transistor. is a
(A) Chip
(B) IC
(C) Scmi-conductor
(D) Valve
25. The study of earthquake is known as
(A) Selenology
(B) Meteorology
(C) Geology
(D) Seismology
26. A high gravity region in space is
known as
(A) red giant
(B) black hole
(C) white hole
(D) pulsar
27. ECG is the abbreviation for
(A) Electrical Cardiogram
(B) Electronic Cardiogram
(C) Elect•o Cardiogram
(D) Electron Cardiogram
28. An optical instrument used to view
distant object is
(A) Microscope
(B) Periscope
(C) Stethoscope
(D) Telescope
for daily use so
you can wear them wherever you
want.
(A) design
(B) will be designed
(C) are designed
(D) were designed
30. New legislation in Congress
but it was not accepted.
(A) was introduced
(B) introduced
(C) will he introduced
(D) introducing
29. These clothes
Space For Rough Work
N1CA 7 B-1
31. The critics say that the review
. as a hook in English.
(A) could be published
(B) can be published
(C) had been published
(D) may he published
32. No clinical studies in this
Child disease research so far.
(A) had completed
(B) will be completed
(C) have completed
(D) have been completed
33. Identify the error in the sentence.
Ram was/senior to/Sam in college
(A) Ram was
(B) Senior to
(C) Sam in college
(D) No error in sentence
34. Amar was broken from his
old friend.
(A) of
(B) in
(C) away
(D) with
35. I was amazed his
misbehaviour.
(A) for
(B) at
(C) with
(D) in
36. Ile is fully contented his
life.
(A) in
(B) of
(C) with
(D) to
Space For Rough Work
B-1 8 MCA
M
39. Choose the correct sentence.
40. Choose the correct sentence.
(A) Poor are hated everywhere.
(B) The poors are hated everywhere.
(C) The poor are hated everywhere.
(D) The poor is hated everywhere.
41. Choose the correct sentence.
(A) He is as tall as 1.
(B) He is as tall as I am.
(C) He is so tall as 1.
(D) He is so tall as 1 am.
37. He is not living
(A) for
(B) from
(C) within
(D) in
his means.
38. He got well
two weeks.
(A) by
(B) with
(C) on
(D) over
his illness in
(A) She is the tallest girl in the class.
(B) She is the most tallest girl in the
class.
(C) She is the taller girl in the class.
(D) She is tallest girl in the class.
42. The cat sprand
(A) Over .
(B) off
(C) at
(D) from
the table.
Space For Rough Work
N1CA 13-1
43. She is for London.
) leaved
leave
cc)
44. i he prig c of an item that costs 80
a; Lir:,..2d by 250:0. What is the new
orico
45. thi.•: following question, there is
s)ine iy1,iiionship between the two
(trill' let! of :: and the same
rukitioll,Ilip continuous between two
r,llc 0,; right.
l : L.0 :: FL :
A)
l'Q
C)
(I)) so.)
46. Find the odd man.
81 : 243, 16 : 64, 64 : 19.1,25: 75
(A) 81 243
(B) 16 : 64
(C) 64 : 192
(D) /5 : 75
47. A pineapple costs 7 each. A
watermelon costs 5 each. X spends
38 On these fruits. The number of
pineapple purchased is
(A)
(B) 3
(C) 4
(D) Data inadequate
48. A woman says "If you reverse my age,
the figures represent my husband's
age. He is, senior to me and the
difference between our ages is — of
II
their sum." The age of woman is
(A) 23 years
(B) 34 years
(C). 45 years
(D) None of these
Space For Rough Work
11--1 10 NIC1
49. When two coins are tossed, the
possible outcomes are
(A)
(B) 4
(C) 1
•(D) None
50. Probability lies between
(A) — 1 & 1
(B) 0 & 1
(C) 0 & n
(D) 0& o
52. The range of following observations
2, 3, 5, 9, 8, 7, 6, 5, 7, 4, 3 is
(A) 11
(B) 5
(C) 6
(D) 7
53.. If AM of .1-1 , ... xi, is 7 , then AM
of ay, + b, ax, + b, b is
(A) a 7
(B) a7 + b
(C) a + rib
(D) None of these
54. The value of cosec I (2) is
51. The mean of the set of values 2, 4, 3,
5, 5 and 6 is
(A) 4.5
•(B) 4.16
(C) 3.2
(D) 25
(A) —
6
/it
(B)
3
57r .
(C) —
6
(D) 0
Space For Rough Work
MCA 11 • B-1
(C)
(D)
1
57. If log (x + 2) + log (x— 3) = 0, then
values of x arc
(A) —2, 3
(B) 2, 3
(C) 2.-3
(D) —2, —3
"
1 0
55. If A =[ =
1 B [5 1
of oc for which A2 = B is
(A) 1
(B) —1
(C') 4
(D) None of these
56. If A —
0
=
the value ofx is
(A) 2
58. The sum of 1 + —
1
+—
I
+ ..... is2 22
(A)
(B)
(C) 2
(D) —2
59. The 3 arithmetic means between 3 and
19 are
(A) 7, 11, 15
(B) 5, 10, 15
(C) 6, 11, 16
(D) 5, 7, 9
60. Equation of the circle with centre
(-3, 2) and radius 4 is
(A) (x
+ 3)2 + 2)2 = 1 6
(B) ___ 3 )2 (y — 2)2 = 16
(C) (x + 3)2 +(Y+ 2)2 = 25
(D) x2 + y2 = 25
, the value
1 0
, then
Space For Rough Work
B-1 12 MCA
— 57
10
57
(B)
I()
(C)
—10
57
(D)
10
—57
(A)
PART — 2
Each question carry two marks. (20 x 2 = 40)
61. Find the value of X for which the
system of equations
2x + 3y —. 2z = ()
2x — y + 3z = 0
7x + Xy z = 0
has non-trivial solution.
62. If the circle .v2 + y2 — 17.v + 26y + c = 0
passes through (3, 1) (14, —1) and
(II, 5), the value of c is
(A) 0
(B) —41
—
(C)
17
(D) 41
63. The equation of the parabola having
tbcus (-3, 0) and direetrix .v = 3 is
(A) y2 = 12x
(B) y2 =-12x
(C) X2 = 12y
(D) .2 = —12y
64. Find the value of X for which
A A " A A
i +4 j + k and 4i —8 j + Xk are
perpendicular.
(A) —15
(B) 10
(C) —40
(D) 20
, B =
[1 —I x 1
65. A = 2 —1
Y — I]
(A + B)2 = A2 ± r-.no2, then x + y is
(A) 2
(B) 3
(C) 4
(D) 5
66. (559)10 = (
(A) 2215
(B) 22F
(C) 2F2
(D) F22
67. log, 512 is
(A) 6
(B) 7
(C) 8
(D) 9
68. 5%7 =
(A) 5
(B) 7
(C) 2
(D) 0
and
Space For Rough Work
MCA 13 B-I
69. Maximum number of integers that can
be represented in 1 byte is
(A) 100
(B) 200
(C) 128
(D) 256
70. (1111),-1-(1),---
(A) (1112),
(B) (10000),
(C) (11111),
(D) (00001),
71. In the thllowing alphabet second halt'
is written first and then the first half
arranged in reverse. order. Then the 5111
letter to the left of 16'h letter from the
right is
A BCDE FGH IJKLMNOPQRSTUVW
XYZ.
(A) S
(B) T
(C) P
(D) F
72. In a certain code 'INACTIVE' is
written as VITCANIE'. How is
`COMPUTER' written in that code ?
(A) UTEPMOCR
(B) MOCPETUR
(C) ETUPMOCR
(D) PMOCRETU
73. All S's are P's.
All T's are S's.
All R's are both P's and Q's.
Not all P's are S's.
Not all S's are T's.
Which of the following can be inferred
from the above statements ?
(A) Some S's are Q's.
(B) All T's are P's.
(C) All P's are Q's.
(D) Some S's are not R's.
74. Prices have risen because production
has fallen. Theretbre
(A) Production will increase now.
(B) If production falls prices rise.
(C) If production increases prices
fall.
(D) Production and prices are inter-
related.
75. The positions of the first and fifth
digits in the number 83156427 are
interchanged. Similarly the positions
of the second & . sixth digits are
interchanged and so on. Which of the
following will be the second digit from
the right after the rearrangement ?
(A) 2
(B) 6
(C) 4
(D) I
Space For Rough Work
R-1 14 MCA
-4 -4 -4
76. If a , h , c arc unit vectors such that
-3 -4 -4
a + h + c = 0, then the value of
-3 -4 -4 -4 -4 -4
a•b+b•c+c•ats
(A) I
(B) 3
(C)
—3
(D) None
77. The value of
tali- I 1— + tan (—I + tan-I ) is
8
(A) tan-
(B) cot (15)
(C) tan- (15)
(D) tan--
(2145)
78. 3 digit numbers arc formcd (Asia!`, the
digits 0, 2, 4, 6J and S. A n'imber is
chosen at random out of these
numbers. What is the 1.,,.0b•ibil
the number has the same di,z,its •.)
(A)
16
(B)
16
(C) 645
(D) —115
79. The scores of baki-i-ii;) A in 10
different test matche-, 18. 7f) .48.
34, 41, 55, 63, 46, 5-4. 4-1. The mean
score is
(A) 50
(B) 48
(C) 200
(D) 70
+ y 2x + z
80. If then
x— y 2z + w 0 10i
the values of x, y, z
(A) 3 4
(B) 2, 3, 1, 2
(C) 3, 3, 0, 1
(D) None of these
Space For Rough Work
MCA 1.5 B-1
Space For Rough Work
B-1 16 FICA

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PGCET MCA 2017 question paper

  • 1. Correct Method of shading the circle on the OMR answer sheet is as shown below POST GRADUATE COMMON ENTRANCE TEST-2017 DATE COURSE TIME 02-07-2017 MCA 10.30 a.m. to 12.30 p.m. MAXIMUM MARKS TOTAL DURATION MAXIMUM TIME FOR ANSWERING 100 150 Minutes 120 Minutes MENTION YOUR PGCE1 NO. QUESTION BOOKLET DETAILS VERSION CODE SERIAL NUMBER B - 1 152130 •DO's : 1. Check whether the PGC ET No. has been entered and shaded in the respective circles on the OMR answer sheet. 2. This Question Booklet is issued to you by the invigilator after the 2"" Bell i.e., after 10.25 a.m. 3. The Serial Number of this question booklet should be entered on the OMR answer sheet and the respective circles should also be shaded completely. 4. The Version Code of this question booklet should be entered on the OMR answer sheet and the respective circles should also be shaded completely. 5. Compulsorily sign at the bottom portion of the OMR answer sheet in the space provided. DON'Ts : 1. THE TIMING AND MARKS PRINTED ON THE OMR ANSWER SHEET SHOULD NOT BE DAMAGED / N1UTILATED / SPOILED. The.3" Bell rings at 10.30 a.m., till then; • Do not remove the paper seal i polythene bag of this question booklet. • Do not look inside this question booklet. • Do not start answering on the OMR, answer sheet. IMPORTANT INSTRUCTIONS TO CANDIDATES 1. This question booklet contains 80 (items) questions and each question will have one statement and four answers. (Four different options / responses.) 2. After the 3"' Bell is rung at 10.30 a.m., remove the paper seal / polythene bag of this question booklet and check that this booklet does not have any unprinted or torn or missing pages or items etc., if so, get it replaced by a complete test booklet. Read each item and start answering on the OMR answer sheet. 3. During the subsequent 120 minutes: • Read each question (item) carefully. • Choose one correct answer from out of the four available responses (options / choices) given under each question / item. In case you feel that there is more than one correct response, mark the response which you consider the best. In any case, choose only one response for each item. • Completely darken / shade the relevant circle with a BLUE OR BLACK INK BALLPOINT PEN against the question number on the OMR answer sheet. 4. Use the space provided on each page of the question booklet for Rough Work. Do not use the OMR answer sheet for the same. 5. After the last Bell is rung at 12.30 p.m.,stop marking on the OMR answer sheet and affix your left hand thumb impression on the OMR answer sheet as per the instructions. 6. Handover the OMR ANSWER SHEET to the room invigilator as it is. 7. After separating the top sheet (KEA copy), the invigilator will return the bottom sheet replica (Candidate's copy) to you to carry home for self-evaluation. 8. Preserve t le replica of the OMR answer sheet for a minimum period ofON E year. Marks Distribution PART-1 : 60 QUESTIONS CARRY ONE MARK EACH (I TO 60) PART-2 : 20 QUESTIONS CARRY TWO MARKS EACH (61 TO 80) 1111111111111111111111111111
  • 2. (A) ± i (C) —1±15 If tan 0 = 3, 0 lies in the 3rd quadrant, the value of see 0 is (A) 1 VI 0 (B) Io (C) —3 VI 0 —5 (D) MCA PART— 1 Each question carry one mark. (60 x 1 = 60) 1. Convert 240° into radians 17r (A) -- 3 3. The roots of x2 + x + 1 = 0 are (C) +13-i (D) (D) 7K 3 4. Value of 7! — 5! is (A) 4920 (B) 4940 (C) 4900 (D) 4930 5. How many 4 digit numbers can be formed using the digits I to 9 if repetitions are not allowed ? (A) 3024 (B) 3026 (C) 3040 (D) 3014 Space For Rough Work MCA 3 B-I
  • 3. (A) (B) (C) (D) 6. The middle term in the expansion of 7. A (lie is rolled 3 times. What is the probability of getting 6 atleast once 125 216 91 (B) 216 (C) it (D) 1 8. The angle between two vectors a- & b with magnitude 3 and 4, and a▪ • b = 2,,a is (D) 9. is not an operating system. (A) Dos (B) Solaris (C) Linux (D) Google is not a data coding technique. (A) BCD (B) EBCDIC (C) ANSI (D) ASCII 11. ASCII stands for coding technique. (A) American Standard Codes Information Interchange (B) American Solution for Coding Information Interchange (C) American Society for Coding Inlbrmation Interchange (D) American Society for Coding Information Interpretation (A) 10. Space For Rough Work B-1 4 N1CA
  • 4. 12. GUI stands for (A) Gaming Utility 'Interface (B) Graphical User Interface (C) General Utility Interthce 15. ANSI stands for (A) Advance National Standard Institute (B) American Nation Standard Institute (C) All Nation Standard Institute (D) Group User Interface (D) All Nations Squad for Investigation 13. E-mail stands for (A) Electric (B) Electronic (C) Engineering (D) Exchange 14. VOIP means (A) Very Over Important Person (B) Very Online Important Person (C) Voice On Internet Protocol (D) Voice Over Internet Protocol 16. A picture is worth a thousand words : this saying goes correctly with (A) Coding (B) Algorithm (C) Flowchart (D) Documenting 17. The process of locating an error in a program is known as (A) Testing (B) Debugging (C) Maintenance (D) Development mail. Space For Rough Work 5 B-1MCA
  • 5. 18. The process of uploading the data during the occurrence of an event/transaction is known as processing. (A) offline (B) online (C) batch (D) remote 19. UPS is a device. (A) Data backup (B) Processing backup (C) Power backup (D) Communication backup 21. Ebola is the name of a (A) Computer virus (B) Biological virus (C) Malware (D) Software 22. Embedded systems are (A) Embedding software into hardware (B) Embedding hardware into software (C) Embedding computer into human (D) Embedding robo into humans 20. Government of India has proposed to implement GST Which means (A) Government Sales Tax (B) General Service Tax (C) Goods Service Tax (D) Government Service Tax 23. POK stands for (A) Pakistan Occupied Kashmir (B) Pakistan Occupied Kazakhstan (C) Pakistan Occupied Kabul (D) Pakistan Occupied Kuwait Space For Rough Work B-1 6 MCA
  • 6. 24. A transistor. is a (A) Chip (B) IC (C) Scmi-conductor (D) Valve 25. The study of earthquake is known as (A) Selenology (B) Meteorology (C) Geology (D) Seismology 26. A high gravity region in space is known as (A) red giant (B) black hole (C) white hole (D) pulsar 27. ECG is the abbreviation for (A) Electrical Cardiogram (B) Electronic Cardiogram (C) Elect•o Cardiogram (D) Electron Cardiogram 28. An optical instrument used to view distant object is (A) Microscope (B) Periscope (C) Stethoscope (D) Telescope for daily use so you can wear them wherever you want. (A) design (B) will be designed (C) are designed (D) were designed 30. New legislation in Congress but it was not accepted. (A) was introduced (B) introduced (C) will he introduced (D) introducing 29. These clothes Space For Rough Work N1CA 7 B-1
  • 7. 31. The critics say that the review . as a hook in English. (A) could be published (B) can be published (C) had been published (D) may he published 32. No clinical studies in this Child disease research so far. (A) had completed (B) will be completed (C) have completed (D) have been completed 33. Identify the error in the sentence. Ram was/senior to/Sam in college (A) Ram was (B) Senior to (C) Sam in college (D) No error in sentence 34. Amar was broken from his old friend. (A) of (B) in (C) away (D) with 35. I was amazed his misbehaviour. (A) for (B) at (C) with (D) in 36. Ile is fully contented his life. (A) in (B) of (C) with (D) to Space For Rough Work B-1 8 MCA M
  • 8. 39. Choose the correct sentence. 40. Choose the correct sentence. (A) Poor are hated everywhere. (B) The poors are hated everywhere. (C) The poor are hated everywhere. (D) The poor is hated everywhere. 41. Choose the correct sentence. (A) He is as tall as 1. (B) He is as tall as I am. (C) He is so tall as 1. (D) He is so tall as 1 am. 37. He is not living (A) for (B) from (C) within (D) in his means. 38. He got well two weeks. (A) by (B) with (C) on (D) over his illness in (A) She is the tallest girl in the class. (B) She is the most tallest girl in the class. (C) She is the taller girl in the class. (D) She is tallest girl in the class. 42. The cat sprand (A) Over . (B) off (C) at (D) from the table. Space For Rough Work N1CA 13-1
  • 9. 43. She is for London. ) leaved leave cc) 44. i he prig c of an item that costs 80 a; Lir:,..2d by 250:0. What is the new orico 45. thi.•: following question, there is s)ine iy1,iiionship between the two (trill' let! of :: and the same rukitioll,Ilip continuous between two r,llc 0,; right. l : L.0 :: FL : A) l'Q C) (I)) so.) 46. Find the odd man. 81 : 243, 16 : 64, 64 : 19.1,25: 75 (A) 81 243 (B) 16 : 64 (C) 64 : 192 (D) /5 : 75 47. A pineapple costs 7 each. A watermelon costs 5 each. X spends 38 On these fruits. The number of pineapple purchased is (A) (B) 3 (C) 4 (D) Data inadequate 48. A woman says "If you reverse my age, the figures represent my husband's age. He is, senior to me and the difference between our ages is — of II their sum." The age of woman is (A) 23 years (B) 34 years (C). 45 years (D) None of these Space For Rough Work 11--1 10 NIC1
  • 10. 49. When two coins are tossed, the possible outcomes are (A) (B) 4 (C) 1 •(D) None 50. Probability lies between (A) — 1 & 1 (B) 0 & 1 (C) 0 & n (D) 0& o 52. The range of following observations 2, 3, 5, 9, 8, 7, 6, 5, 7, 4, 3 is (A) 11 (B) 5 (C) 6 (D) 7 53.. If AM of .1-1 , ... xi, is 7 , then AM of ay, + b, ax, + b, b is (A) a 7 (B) a7 + b (C) a + rib (D) None of these 54. The value of cosec I (2) is 51. The mean of the set of values 2, 4, 3, 5, 5 and 6 is (A) 4.5 •(B) 4.16 (C) 3.2 (D) 25 (A) — 6 /it (B) 3 57r . (C) — 6 (D) 0 Space For Rough Work MCA 11 • B-1
  • 11. (C) (D) 1 57. If log (x + 2) + log (x— 3) = 0, then values of x arc (A) —2, 3 (B) 2, 3 (C) 2.-3 (D) —2, —3 " 1 0 55. If A =[ = 1 B [5 1 of oc for which A2 = B is (A) 1 (B) —1 (C') 4 (D) None of these 56. If A — 0 = the value ofx is (A) 2 58. The sum of 1 + — 1 +— I + ..... is2 22 (A) (B) (C) 2 (D) —2 59. The 3 arithmetic means between 3 and 19 are (A) 7, 11, 15 (B) 5, 10, 15 (C) 6, 11, 16 (D) 5, 7, 9 60. Equation of the circle with centre (-3, 2) and radius 4 is (A) (x + 3)2 + 2)2 = 1 6 (B) ___ 3 )2 (y — 2)2 = 16 (C) (x + 3)2 +(Y+ 2)2 = 25 (D) x2 + y2 = 25 , the value 1 0 , then Space For Rough Work B-1 12 MCA
  • 12. — 57 10 57 (B) I() (C) —10 57 (D) 10 —57 (A) PART — 2 Each question carry two marks. (20 x 2 = 40) 61. Find the value of X for which the system of equations 2x + 3y —. 2z = () 2x — y + 3z = 0 7x + Xy z = 0 has non-trivial solution. 62. If the circle .v2 + y2 — 17.v + 26y + c = 0 passes through (3, 1) (14, —1) and (II, 5), the value of c is (A) 0 (B) —41 — (C) 17 (D) 41 63. The equation of the parabola having tbcus (-3, 0) and direetrix .v = 3 is (A) y2 = 12x (B) y2 =-12x (C) X2 = 12y (D) .2 = —12y 64. Find the value of X for which A A " A A i +4 j + k and 4i —8 j + Xk are perpendicular. (A) —15 (B) 10 (C) —40 (D) 20 , B = [1 —I x 1 65. A = 2 —1 Y — I] (A + B)2 = A2 ± r-.no2, then x + y is (A) 2 (B) 3 (C) 4 (D) 5 66. (559)10 = ( (A) 2215 (B) 22F (C) 2F2 (D) F22 67. log, 512 is (A) 6 (B) 7 (C) 8 (D) 9 68. 5%7 = (A) 5 (B) 7 (C) 2 (D) 0 and Space For Rough Work MCA 13 B-I
  • 13. 69. Maximum number of integers that can be represented in 1 byte is (A) 100 (B) 200 (C) 128 (D) 256 70. (1111),-1-(1),--- (A) (1112), (B) (10000), (C) (11111), (D) (00001), 71. In the thllowing alphabet second halt' is written first and then the first half arranged in reverse. order. Then the 5111 letter to the left of 16'h letter from the right is A BCDE FGH IJKLMNOPQRSTUVW XYZ. (A) S (B) T (C) P (D) F 72. In a certain code 'INACTIVE' is written as VITCANIE'. How is `COMPUTER' written in that code ? (A) UTEPMOCR (B) MOCPETUR (C) ETUPMOCR (D) PMOCRETU 73. All S's are P's. All T's are S's. All R's are both P's and Q's. Not all P's are S's. Not all S's are T's. Which of the following can be inferred from the above statements ? (A) Some S's are Q's. (B) All T's are P's. (C) All P's are Q's. (D) Some S's are not R's. 74. Prices have risen because production has fallen. Theretbre (A) Production will increase now. (B) If production falls prices rise. (C) If production increases prices fall. (D) Production and prices are inter- related. 75. The positions of the first and fifth digits in the number 83156427 are interchanged. Similarly the positions of the second & . sixth digits are interchanged and so on. Which of the following will be the second digit from the right after the rearrangement ? (A) 2 (B) 6 (C) 4 (D) I Space For Rough Work R-1 14 MCA
  • 14. -4 -4 -4 76. If a , h , c arc unit vectors such that -3 -4 -4 a + h + c = 0, then the value of -3 -4 -4 -4 -4 -4 a•b+b•c+c•ats (A) I (B) 3 (C) —3 (D) None 77. The value of tali- I 1— + tan (—I + tan-I ) is 8 (A) tan- (B) cot (15) (C) tan- (15) (D) tan-- (2145) 78. 3 digit numbers arc formcd (Asia!`, the digits 0, 2, 4, 6J and S. A n'imber is chosen at random out of these numbers. What is the 1.,,.0b•ibil the number has the same di,z,its •.) (A) 16 (B) 16 (C) 645 (D) —115 79. The scores of baki-i-ii;) A in 10 different test matche-, 18. 7f) .48. 34, 41, 55, 63, 46, 5-4. 4-1. The mean score is (A) 50 (B) 48 (C) 200 (D) 70 + y 2x + z 80. If then x— y 2z + w 0 10i the values of x, y, z (A) 3 4 (B) 2, 3, 1, 2 (C) 3, 3, 0, 1 (D) None of these Space For Rough Work MCA 1.5 B-1
  • 15. Space For Rough Work B-1 16 FICA