OJEE 2017 Question Paper LE MCA

FOR OJEE EXAM PREPARATION

OJEE 2017
Question Paper · LE
MCA
EXAM YEAR TYPE SUBJECT

OJEE 2017 Question Paper LE MCA

Notes · Sample Papers · Previous Year Papers · Mock Tests

co m .
. e
em las

as ag
MATHEMATICS (60 Questions)+ COMP 60Q = 120QUESTIONS

Q.no QUESTION
m
om . co
.c e m
 p  q  
e pm
p  q  is logically equivalent to
l a s
1
l a s a g
g
(B)p C)q D) q
a
(A)

The contrapositive of the statement “if x is lucky then x is wealthy” is

2 A) if x is wealthy then x is lucky B) if x is not lucky then x is not wealthy

C) if x is not wealthy then x is not lucky D) if x is not lucky then x is wealthy

o m
c
. of p,q,r are respectively
e m
s
If p  (q  r ) is false ,then the truth values
a
3

g l
A)T,T,T B)T,F,FC)F,F,F D)F,T,T

a
In a class of 100 students the following is the qualifying result of the examinations in
three subjects Economics (E), Commerce ( C ) and Statistics(S). 10 students qualified
in all the three subjects.20 qualified in E & C;30 qualified in C & S;25 in E& S.12 only
4
in E;5 only in C ;8 only in S. The number of students not qualified in all the three
subjects is

m
c. o
A)20 B)3 C)36 D)42

m
c. o On set of real numbers R, for x, y  R define a relation T by xsTem
em5 l a
s g
y if and only if

gl a x  y  2 is an irrational number,then T is
a
a A)Equivalence B)Symmetric C)Transitive D)reflexive

6 If A  8n  7n  1/ n  N  , B  49(n  1) / n  N  then
A) A  B B) B  A C) A  B D) information not sufficient

m . c
c. o s e m
m a
se
For more Question Papers, Sample Papers, Notes & Syllabus visit
g lPage 1 of 17

2  3 x ,  3  x  1
If f :  3, 2  0, n  is onto defined by f ( x)   2/3
 3   , then n=
7  x , 1  x  2 
A)1 B)2 C)4 D)6

If two functions f and g are defined on sets such that fog exist. The necessary condition
8 that fog is on to is
A) f is on to B) g is on to C) both f and g are on to D) none of f and g is onto

The domain of f(x)= log10 [(5 x  x 2 ) / 4] is
9 A) [0, 1] B) [1, 4] C) [-1, 2] D)set of all real numbers

The sum of two numbers is 25 and the geometric mean is 52% lower than twice their
10 average. Find the numbers
(A)17, 8 (B)10, 15 (C) 16, 9 (D) 12, 13

A batsman scores 120 runs in the 25th inning and thus increases his average by 4.What is
11 his average after the 25th inning?
(A)24 (B)16 (C) 20 (D) 12

z is a complex number. The locus of the point z satisfying the equation
12
z  z1  z  z2   where   z1  z2 is
A) ellipse B) circle C) Hyperbola D) straight line

If 1,  ,  2 are the cube roots of unity , then the roots of  x  1  8  0
3

13 A) 1,1  2 ,1  2 B) 1,1  2 ,1  2 C) 2, 2   , 2   D) 2, 2 , 2
2 2 2 2

The value of 15  8i  15  8i is equal to
14
A)15 B) 8 C) 23 D) 7

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 2 of 17

co m .
. e
em las

as ag

If there are 2 kinds of balls red and black and at least 4 of each kind, the number of
15
ways a ball can be put in each of 4 different boxes is
A) 1 B)8 C)6 D)16

m
om
In an examination, a candidate has to pass in each of the 6 subjects, the number of
. co
.c e m
s
16 ways that he can fail is

e m l a
s
A) 21 B)81 C)63 D)16

a
l of the 7 term from the beginning to the 7 term from the end in thea g
a g
If the ratio th

x
th

 1 
expansion of  2  3
3 1
17  is , then x is
 3 6
A)9 B)6 C)12 D) 11

If c0 , c1 , c2 , c3 , c4 ......cn are the binomial coefficients then 5c1  8c2  11c3 ......  (3n  2)cn 

om
n 1 (3n  2) n
A) (3n  7)2 B) (3n  4)2n 1  2 2 2
.c
18 C) D) 3n.2n
2

e m
l a s
The number of irrational terms ingthe expansion of  4  5  is
a
21
3
19
A) 15 B) 22 (C) 18 D) 4

0 1 0 
The inverse of 1 0 0  =
0 0 1 

m
20 0 1 0  0 0 1  0 0 1  1 0 1 

m A) 1 0 0  B) 1 0 0  C) 1 0 1 
c. o
D) 1 0 1 
c. o 0 0 1  0 1 0 
s e m 0 1 0  0 1 0 

s em g l a
gla a a =
a 21
If A   
a such that a
ij 33  (i  j ) , then cofactor
ij of the element2
23

A)1100 (B) 44 (C) 25 (D)33

m . c
c. o s e m
m a
se
For more Question Papers, Sample Papers, Notes & Syllabus visit
g lPage 3 of 17

 x2  2x  1 x  7 2 x2 
 
22 If  x  6 x2  7 x 4   Ax 2  Bx  C , then determinant of A+C=
 2 x x 8 x  3

A) 192 B)0 (C) -192 D) 218
0 0

cos 225  sin165 =
23
3
A) 2 B) 0 C) 1 D)
2
In a triangle ABC, 3cosA+2=0, then the quadratic equation whose roots are sinA and
tanA is
24
A) 6 x2  5x  5  0 B) 6 x 2  5 x  5  0 C) 6 x2  5x  5  0 D) 6 x2  5x  5  0

In a triangle ABC, the lengths of the sides BC, CA and AB are respectively p, q and r.
If( p+q+r)(q+r-p)=k p r, then k belongs to
25
A)  , 0  B)  0, 4  C)  4,   D)  ,  

A straight line L with negative slope passes through the point (4,9) and cuts the
positive coordinate axes at the points A and B .As the line varies the minimum value of
26
OA+OB is (O is origin)
A)10 (B) 13 C)36 D) 25

If one of the lines of my 2  (1  m2 ) xy  mx2  0 is a bisector of the angle between the
27 lines xy=o, then m is
A)-1/2 B)-2 C)1 D)2

Two circles touch each other externally with radii 4 and 9 respectively .The area of the
quadrilateral formed by the centres and the points of contact of a direct common
28
tangent is
A)124 B)78 C)30 D)136
Tangents are drawn to the circle C: x2  y 2  1 from any arbitrary point P on the circle
C1 : x 2  y 2  4  0 .These tangents meet the circle C1 again at A and B. Tangents are
29 drawn to the circle C1 at these points A and B. The locus of point of intersection of
these tangents is
A) x 2  y 2  10 B) x 2  y 2  16 C) x 2  y 2  25 D) x 2  y 2  9

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 4 of 17

co m .
. e
em las

as ag
The normal at the point (bt12 , 2bt1 ) on a parabola meets the parabola again in the
point (bt2 2 , 2bt2 ) ,then
30
2 2 2 2
A) t2  t1  B) t2  t1  C) t2  t1  D) t2  t1 
t1 t1 t1 t1

m
om . co
The value of k if (1,2) and (k,-1) are conjugate points with respect to the ellipse

.c e m
31 2 x2  3 y 2  6 is
A)2
e m B)4 C)6 D)8
l a s
l a s ag
ag
The combined equation of the asymptotes of the Hyperbola xy  x  y  5  0 is
32
A) xy=0 B)(x-1)(y-1)=0 C) (x-1)(y+1)=0 D) (x+1)(y+1)=0

If (K,1,5);(1,0,3);(7,-2,L) are collinear then (K,L)=
33
A)(-2,-1) B)(2,1) C)(-2,1) D)(2,-1)

m
. co
em
The plane 2x+2y-z=k touches the sphere x2  y 2  z 2  4 x  2 y  6 z  5  0 and makes a
positive intercept on the z-axis then k=
l a s
g
34

a
A) -10 B)-8 C) 8 D)10

The plane 2x-2y-3z-14=0 and the line joining the points (1,2,4), (3,3,0) intersect at
35 A)(5,2,0) B)(-3,-1,-6) C)(5,4,-4) D)(10,-15,12)

m
  

c o
ABC is a triangle and AD, BE, CF are its medians then AD BE  CF 
m A) 4 AB D). O
c. o
36
m
   

e
B) 3 BC C) 4 CA

em l a sb  c
l as If a , b & c are non coplanar unit vectors such that a  (b gc ) 
a
ag
,then the angle
2
37 between a & b is
A) 3 4 B)  4 C)  2 D) 

m . c
c. o s e m
m a
se
For more Question Papers, Sample Papers, Notes & Syllabus visit
g l Page 5 of 17

A particle acted on by a constant forces 4i  j  3k and 3i  j  k is displaced from
the point i  2 j  3k to the point 5i  4 j  k .The total work done by the forces is
38
A)20 units B)40 units C)30units D)50 units

Sin(ax 2  bx  c)
If  is a repeated root of ax 2  bx  c  0 then lim
x  ( x   )2
39
A)0 B)a C)b D)c

d2y
If x  f (t ) and y=g(t) then 2 =
dx
//
g (t ) //
f (t ) f / (t ) g / / (t )  f / / (t ) g / (t ) g / (t ) f / / (t )  g / / (t ) f / (t )
40 A) / / B) / / C) D)
   g (t ) 
3 3
f (t ) g (t ) f / (t ) /

( ) / &   represent first & second derivatives
//

If y  x n Log e x ,then x yn 1 =
41
A)n B) log e x n C) n ! D)0

1
x y  u u
If u  Tan   ,then x y =
  x x
42  x y 
1 1 sec u 1 Tan u 1 Tan u
A) Sec2 u B) C) D)
2 2 1  Tan 2 u 2 1  Tan u
2
2 1  Tan 2 u

If a 2 x4  b2 y 4  c6 , the the maximum value of xy is
43 c3 c3 c3 c3
A) B) C) D)
2ab 2ab ab ab

The sum of the ordinates of the points on the curve 6 y  4 x3  3x 2 at which the
44 tangents make equal angles with the Coordinate axes is
A)3/8 B)0 C)1/24 D)13

A lamp of negligible height is placed at a distance of x meters from a wall. A man of
height y meters is walking towards the wall at a speed of (x/10) meters per second. The
rate of change of the shadow of the man on the wall when man is midway between wall
45
and the lamp is ( in meters per second)
2 y y 4y y
A) B)  C) D) 
5 5 5 10

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 6 of 17

co m .
. e
em las

as ag
A curve represented x  t 5  5t 3  20t  7, y  4t 3  3t 2  18t  3 is increasing in an interval of
finite length is
46
A)(-2,2) B)(-1,3/2) C)(3/2,2) D)(-1,2)

 cos(ln x)dx  m
om . co
c m
x x
. e
47 A) [cos ln x  sin ln x]  c B) [cos ln x  sin ln x]  c

m a s
2 2

s e
C) x[cos ln x  sin ln x]  c D) x 2 [cos ln x  sin ln x]  c
g l
a
gl y  f ( x) has a second order derivative f (x)  6( x 1) .If its graphapasses
Aafunction //

through the point (2,1) and at that point the tangent to the graph is y  3x  5 ,then
48
the function is
A) ( x  1)2 B) ( x  1)2  2 C) ( x  1)3  3 D) ( x  1)3

6
 1
In the binomial expansion  x 2   , m th term contains x3 and n th term contains x 3
m
 x
.
. co
The value of the integral  Sin  Cos edm
2

a s  =
49 m n

3 gl
C) a
0
 3
A) B) D)0
32 32 132

In [a, b] a function f(x) <0, then the area bounded by the curve, x-axis, the lines x=a
and x=b is
50 b a b a
A)  f ( x)dx B)  f ( x)dx C)  f ( x)dx D)   f ( x)dx

m
a b a b

m c. oare
dy d2y

c. o
3 Log 5 Log

m
 53
2
5 dx 3 dx

e
The order and degree of the differential equation 5

em51 A)Order is 2& degree can not be determined B)Order a
l s
las a g
is 2 & degree is 2

ag C)Order is 2, degree is 5 D) Order is 1 degree is 3

y  ax  b is
52 d3y d2y
A) General solution for  0 & particular solution for 0
dx 3 dx 2

m . c
c. o s e m
m a
se
For more Question Papers, Sample Papers, Notes & Syllabus visit
g l Page 7 of 17

d3y d2y
B) particular solution for  0 & for 0
dx 3 dx 2
d2y d3y
C) General solution for  0 & for 0
dx 2 dx 3
d2y d3y
D) General solution for 2  0 & particular solution for 3  0
dx dx
dy y 3e y 5
2
dy xLogx
The differential equations  3 y 2 5 and  =0 represent two families of curves which
dx y e dx xLogx
53
A)Touch each other B) intersects at an angle of 450
C) do not meet each other D) are orthogonal.

d2y
The solution of 2
 12 x 2  log x  2 ,such that y(1)=0,and y / (1)  0 is y=
dx
1 x2 15 1 x2 5
54 A) x 4  x 2 Log e x   5 x  B) x 4  x 2 Log e x  
2 4 4 2 4 4
2 2
1 x 5 x 5
A) x 4  x 2 Log e x   D) x 4  Log e x  
2 4 4 4 4
18 18
If  ( xi  8)  9 and  ( xi  8) 2  45 ,then the standard deviation of the observations
i 1 i 1
55
xi (i  1, 2,3....18) is
A) 4/9 B)9/4 C)3/2 D)2/3
Consider the data 1,2,m,7,15,10,8,35,76,9,27 and the below statements.
1) m is median , when m is any value in between 9 and 10
2) 9 is median, when m is any value less than 9
56 3) 10 is median , when m is any value more than 10
The true statements from the above are
A) Only (1) & (2) B) only (2) &(3) C) only (3) and (1) D) all (1) ,(2) &(3)

Probability that the selection is to consist of either all males or all females from the
selections of 10 clerks from 22 males and 17 female applicants is
57 22
C C10  17C10
22
C10  17C10
22 17
C3
A) 39 10 B) 39
C) 39
D) 39
C10 C10 C10 C10

The probability that the year 2100 having 53 Sundays is
58
A)1 B) 1/7 C) 2/7 D) 6/7

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 8 of 17

co m .
. e
em las

as ag

The hexadecimal number( 2AF3)is equal to the to decimal number
59
A) 10095 B)19995 C) 10005 D)10995

m
om . co
The equivalent octal number for the hexadecimal number 25B is

.c e m
60 A)1113 (B) 1333 (C)1133 D) 1033

e m l a s
l a s a g
ag

m
. co
s em
g l a
a

m
m c. o
c. o s e m
s em la
gla ag
a

m . c
c. o s e m
m a
se
For more Question Papers, Sample Papers, Notes & Syllabus visit
g lPage 9 of 17

61. What is the value of the C expression "4&8|12"?
(A) 12 (B) 124 (C) 24 (D) 16

62. What is the value of the C expression “~4&~8|~12” assuming 8-bit
number representation?
(A) 255 (B) 243 (C) 244 (D) 242

63. For the following code fragment, find the number of times the
statement at label L1 will get executed.

for ( i = 0; i < 100; i++)
{ i++;
L1: ...
}
(A) 100 (B) 99 (C) 50 (D) 49

64. The canonical sum-of-product expression corresponding to the Boolean
function f(A,B) = 1 is
(A) AB + A'B + AB' + A'B' (B) 1 (C) 0 (D) A + A' + B + B'

65. The difference between the number of 1's and number of 0's in the K-
Map for the function f(a, b, c) = a + b'c is
(A) 0 (B) 1 (C) 2 (D) 3

66. An SR-latch is created using only two NAND gates with S and R inputs
feeding one NAND gate each. If both S and R inputs are set to zero, the
outputs will be
(A) Q and Q' both 1
(B) Indeterminate
(C) Both at 0
(D) Q and Q' complementary to each other

67. An instruction performing an arithmetic operation will be fastest if
the operands are available in
(A) Cache (B) CPU register
(C) ALU (D) Main memory

68. The signal lines between CPU and memory can be classified as
(A) Address, Data (B) Address, Read, Write
(C) Address, Data, Control (D) Address, Data, Read

69. MAC address is associated with which layer in OSI model?
(A) Physical (B) Datalink (C) Network (D) Transport

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 10 of 17

co m .
. e
em las

as ag
70. In OSI model IP protocol runs at which layer?
(A) Physical (B) Datalink (C) Network (D) Transport

m
71. FTP stands for

co
(A) File Transfer Protocol (B) Format Transfer Protocol

om .
(C) Fast Transfer Protocol (D) Finite Transfer Protocol

.c e m
e m l a s
a s g
72. IN TCP/IP, IP stands for

l a
ag
(A) Inject Protocol (B) Interleaved Protocol
(C) Insensitive Protocol (D) Internet Protocol

73. Which of the following requires a battery backup?
(A) SRAM (B) DRAM (C) DDR RAM (D) All of them

74. Which of the following is a valid base 6 number?
(A) 2047 (B) 565 (C) Both A and B (D) None of A or B

m
. co
em
75. Value of the expression (25)12 + (46)7 in base 6 number system is

s
(A) 143 (B) 341 (C) 124 (D) 421

g l a
a
76. Assuming that ‘/’is a left associate integer division operator and ‘\’
a right associative integer division operation, evaluate the expression
“2/3/4 + 4\3\2”.
(A) 0 (B) 4 (C) 3 (D) 1

77. What will be the output of the following code fragment

m
int a = 3, b = 2;

m c. o
if (a / b > a % b)

c. o m
printf(“Yes”); else printf(“No”);

s e
(A) Yes (B)No (C) Syntax error (D) None of these

s em 78. If p is an integer pointer, 2*p will have a value gla
gla a
a
(A) Twice the current value of p
(B) Indeterminate
(C) Syntax error
(D) None of these

79. In a ‘switch’ statement
(A) ‘default’ is optional
(B) ‘default’ is mandatory

m . c
c. o s e m
m a
se
For more Question Papers, Sample Papers, Notes & Syllabus visit
g l
Page 11 of 17

(C) ‘default’ is always executed
(D) 'default' is executed only when it is the last case option

80. In a C program, any for-loop can be converted into an equivalent
(A)while loop (B) do-while loop
(C)Both A and B (D) None of these

81. The #define directive is a
(A) Macro (B) Constant (C) Procedure (D) None of these

82. Time complexity to sort an array of 100 numbers using Quicksort is
(A) O(100) (B) O(10) (C) O(log 100) (D) O(1)

83. Data structure used to evaluate a postfix expression is a
(A) Queue (B) Stack (C) Tree (D) Heap

84. In an array with n elements, the complexity to delete ith element
(A) O(1) (B) O(n) (C) O(log n) (D) O(n2)

85. Number of pointers needed in a stack and a queue are
(A) 1, 2 (B) 1, 1 (C) 2, 2 (D) 2, 1

86. In a binary tree each node can have
(A) exactly two children
(B) at most two children
(C) more than two children
(D) None of these

87. The minimum possible number of levels in an n-element binary tree can
be
(A) n (B) 1 (C) 2n (D) log n

88. The best case complexity of Bubblesort is
(A) O(n) (B) O(nlogn) (C) O(n2) (d) O(n2logn)

89. In a sequential search algorithm, in terms of O-notation, best case
occurs when the element is
(A) the first one in the array
(B) the last one in the array
(C) within first 10 elements in the array
(D) both A and C

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 12 of 17

co m .
. e
em las

as ag
90. For the following code fragment, the time complexity is given by,
For(i = 0, j=0; i < n && j < n; i = 2*i, j++)

(A) O(n) (B) O(log n) (C) O(n log n) (D) O(1)

m
om . co
.c e m
e m l a s
a s g
91. In C++ polymorphism means

l a
ag
(A) function called depends upon the object invoking it
(B) all the functions with same name getting invoked
(C) both A and B
(D) none of these

92. In case of public inheritance, which of the following members of
parent class do get inherited
(A) Public, Protected (B) Private, Protected
(C) Public, Private (D) Public, Private, Protected

m
. co
93. What is the output of the following code fragment?

em
int a = 067;

s
printf(“%d”, a+1);

g l a
a
(A) 68 (B) 66 (C) 55 (D) 56

94. How many times is the loop-body executed in the following code
fragment?
int x = 5, y = 10;
do {
x+= 10;
} while (x < y);

m
(A) 5 (B) 6 (C) 7 (D) 4

m c. o
c. o 95. Final value of ‘s’ in the following code fragment is
s e m
em la
int s = 0;

las ag
for ( i = 0; i < 5; i++) s = s << 1 + i;

ag (A)10 (B)20 (C)26 (D)28

96. What will be the output of the following code fragment?
if (5 < 2)
cout << “I like”;
else if ((6 >= 3) || (4 <= 8))
cout << “computer”;
else cout << “fruits”;

m . c
c. o s e m
m a
se
For more Question Papers, Sample Papers, Notes & Syllabus visit
g l
Page 13 of 17

(A)computer (B)fruits (C)I like computer (D)I like fruits

97. Boolean expression (x < y || x > y) is equivalent to
(A)y >= x (B)x != y (C)x >= y (D)None of these

98. Resolution of a computer screen corresponds to
(A) Total number of pixels
(B) Number of pixel per unit length
(C) Number of pixels per unit area
(D) None of these

99. Full form of DDR
(A) Double Data Rate
(B) Dual Data Rate
(C) Double Disk Rate
(D) Dual Disk Rate

100. SATA stands for
(A) Serial Advanced Technology Attachment
(B) Special Asynchronous Technology Addition
(C) Serial Asynchronous Terminal Adapter
(D) Special Advanced Terminal Adapter

101. CDMA stands for
(A) Carrier Detect Multiplexed Access
(B) Code Division Multiple Access
(C) Carrier Division Multiple Access
(D) Carrier Division Multiplexed Access

102. Which of the following is not an input device?
(A) Scanner (B) Printer (C) Disk (D) Pen drive

103. Command “cp –i” in Unix makes cp command to
(A) prompt the name of the file overwritten
(B) prompt the name of the file if not existing
(C) always prompt the name of the file
(D) None of these

104. Command to delete all files in a directory and subdirectories within
it in UNIX is
(A) rm –i (B) rm –chk (C) rm –d (D) rm –r

105. Unix command to get status of all processes in the system is
(A) ps -a (B) ps -x (C) ps -l (D) None of these

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 14 of 17

co m .
. e
em las

as ag
106. The command “command1 | command2” in Unix
(A) redirects output of command1 to input of command2
(B) makes input common for command1 and command2
(C) executes both the commands in parallel
(D) None of these

m
co
107. In Unix, if the file permission for a user is “001” then the user can

om .
(A) read and write onto the file but cannot execute

.c
(B) not read write onto the file but can execute
e m
m e
(C) not read write or execute the file

l a s
a s g
(D) None of the above

l
108. The gunix command to reduce priority of a process is
a
a
(A) red (B) lower (C) upper (D) nice

109. The memory management system of an operating system manages
(A) Main memory (B) Disk (C) Tape (D) All of these

m
co
110. Kernel of an operating system contains

.
(A) shared data structures (B) shared routines

em
(C) None of A or B (D) Both A and B

l a s
a g
111. If X is larger than Y and X is larger than Z then which of the
following statement(s) is/are true?
(A) X is larger than both Y and Z
(B) X is the larger than Y but Y is smaller than Z
(C) Y is smaller than Z
(D) None of A, B, C

112. If X is larger than Y and Y is larger than Z then which of the
following statement(s) is/are true?

m
(A) Z is larger than X

m c. o
(B) Z is smaller than X

c. o m
(C) Z is smaller than Y

s e
(D) Both B and C

s em 113. If X is larger than Y and Y is smaller than Z thenglawhich of the
gla following a
a
statement(s) is/are definitely true?
(A) X is smaller than Z
(B) X is larger than Z
(C) Both A and B
(D) None of these

114. If X is larger than the minimum of Y and Z then which of the
following is definitely true about X?

m . c
c. o s e m
m a
se
For more Question Papers, Sample Papers, Notes & Syllabus visit
g l
Page 15 of 17

(A) X is larger than both
(B) X is smaller than both
(C) X is between Y and Z
(D) None of A,B,C

115. If X is larger than the maximum of Y and Z then which of the
following is definitely true about X?
(A) X is larger than both
(B) X is smaller than both
(C) X is between Y and Z
(D) None of A,B,C

116. If X is smaller than the maximum of Y and Z then which of the
following is definitely true about X?
(A) X is larger than both
(B) X is smaller than both
(C) X is between Y and Z
(D) None of A,B,C

117. If X is smaller than the minimum of Y and Z then which of the
following is definitely true about X?
(A) X is larger than both
(B) X is smaller than both
(C) X is between Y and Z
(D) None of A,B,C

118. In a Boolean formula, A + B = B + C. Then which of the following
statement(s) is/are definitely true?
(A) A = C
(B) B = 1
(C) A = C’
(D) None of these

119. In a Boolean formula, A + B’ = A. Which of the following is/are
definitely true?
(A) B = 0
(B) A = 1
(C) A = 0
(D) None of these

120. In a Boolean formula A + A’ = 1. Which of the following is/are
definitely true?
(A) A = 1
(B) A = 0
(C) A can assume any value
(D) None of these

For more Question Papers, Sample Papers, Notes & Syllabus visit Page 16 of 17

co m .
. e
em las

as ag

m
om . co
.c e m
e m l a s
l a s a g
ag

m
. co
s em
g l a
a

m
m c. o
c. o s e m
s em la
gla ag
a

m . c
c. o s e m
m a
se
For more Question Papers, Sample Papers, Notes & Syllabus visit
g l
Page 17 of 17