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MCA
MATHEMATICS (60 Questions)+ COMP 60 Q = 120 QUESTIONS
Q.no QUESTION
p^ ^ q^ ^ p^ q
is logically equivalent to
(A) p (B)p^ C)q^ D) q
The contrapositive of the statement “if x is lucky then x is wealthy” is
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
3 If^ p^ ^ (^ q^ r )is false ,then the truth values of p,q,r are respectively
A)T,T,T B)T,F,FC)F,F,F D)F,T,T
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
in E;5 only in C ;8 only in S. The number of students not qualified in all the three
subjects is
A)20 B)3 C)36 D)
On set of real numbers R, for x y , R define a relation T by x T y if and only if
x y 2 is an irrational number,then T is
A)Equivalence B)Symmetric C)Transitive D)reflexive
6 If A (^) 8 n 7 n 1/ n N (^) , B (^) 49( n 1) / n N then
A) A B B) B A C) A B D) information not sufficient
7 If ^ ^
f : 3, 2 ^ 0,^3 n
is onto defined by
3 2/
( ) 2 ,^3
f x x^ x x x
^ ^
, then n=
A)1 B)2 C)4 D)
If two functions f and g are defined on sets such that fog exist. The necessary condition
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)= log 10 [(5 x x^2 ) / 4]is
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
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
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
z z 1 z z 2 where z 1 z 2 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 3 8 0
A)
1,1 2 ,1 2 ^2
B)
1,1 2 ,1 2 ^2
C)
2, 2 , 2 ^2
D)
2, 2 , 2 ^2
If A aij (^) 3 3 such that aij ( i j )^2 , then cofactor of the element a 23 =
A)1100 (B) 44 (C) 25 (D)
22 If
2 2 2 2
x x x x x x x Ax Bx C x x x
, then determinant of A+C=
A) 192 B)0 (C) - 192 D) 218
0 0
cos 225 sin
A) 2 B) 0 C) 1 D)^3
In a triangle ABC, 3cosA+2=0, then the quadratic equation whose roots are sinA and
tanA is
A) 6 x^2 5 x 5 0 B) 6 x^2 5 x 5 0 C) 6 x^2 5 x 5 0 D) 6 x^2 5 x 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
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
OA+OB is (O is origin)
A)10 (B) 13 C)36 D) 25
If one of the lines of my^2^ (1 m^2^ ) xy mx^2 0 is a bisector of the angle between the
lines xy=o, then m is
A)-1/2 B)- 2 C)1 D)
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
tangent is
A)124 B)78 C)30 D)
Tangents are drawn to the circle C: x^2^ y^2 1 from any arbitrary point P on the circle
C 1 : x^2 y^2 4 0 .These tangents meet the circle C 1 again at A and B. Tangents are
drawn to the circle C 1 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
The normal at the point ( bt 1^2 , 2 bt 1 )on a parabola meets the parabola again in the
point ( bt 2^2 , 2 bt 2 ),then
A) 2 1
1
t t^2 t
B) 2 1
1
t t^2 t
C) 2 1
1
t t^2 t
D) 2 1
1
t t^2 t
The value of k if (1,2) and (k,-1) are conjugate points with respect to the ellipse
2 x^2 3 y^2 6 is
A)2 B)4 C)6 D)
The combined equation of the asymptotes of the Hyperbola xy x y 5 0 is
A) xy=0 B)(x-1)(y-1)=0 C) (x-1)(y+1)=0 D) (x+1)(y+1)=
33 If (K,1,5);(1,0, A)(-2,-1) 3 );(7,-2,L) are collinear then (K,L)=B)(2,1) C)(-2,1) D)(2,-1)
The plane 2x+2y-z=k touches the sphere x^2 y^2^ z^2 4 x 2 y 6 z 5 0 and makes a
positive intercept on the z-axis then k=
A) - 10 B)- 8 C) 8 D)
The plane 2x-2y-3z-14=0 and the line joining the points (1,2, 4 ), (3,3,0) intersect at
A)(5,2,0) B)(-3,-1,-6) C)(5,4,- 4 ) D)(10,-15,12)
36 ABC is a triangle and AD, BE, CF are its medians then AD^ BE^ CF
A) 4 AB
B) 3 BC
C) 4 CA
D) O
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
and the lamp is ( in meters per second)
A)^2
^ y B)
^ y C)^4
^ y D)
^ y
A curve represented x t^5^ 5 t^3 20 t 7, y 4 t^3 3 t^2 18 t 3 is increasing in an interval of
finite length is
A)(-2, 2 ) B)(-1,3/ 2 ) C)(3/2, 2 ) D)(-1, 2 )
cos(ln^ x dx )^
A) [cos ln sin ln ]
^ x^ x x c B) [cos ln sin ln ]
x (^) x x c
C) x [cos ln x sin ln x ] c D) x^2 [cos ln x sin ln x ] c
A function y f ( ) x has a second order derivative f //^ ( ) x 6( x 1).If its graph passes
through the point (2, 1 ) and at that point the tangent to the graph is y 3 x 5 ,then
the function is
A) ( x 1)^2 B) ( x 1) 2 2 C) (^ x^ 1)^3 ^3 D) ( x 1)^3
In the binomial expansion
6 x^2 x
, m th term contains
x^3 and n th term contains x ^3
The value of the integral
2
0
Sin m^ Cos n^ d
(^) =
A)
B)^3
C)^3
D)
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
A) ( )
b
a
(^) f x dx B) ( )
a
b
(^) f x dx C) ( )
b
a
(^) f x dx D) ( )
a
b
f x dx
The order and degree of the differential equation
2 (^35 )
Log dy^ Log^ d^ y
dx^ dx are
A)Order is 2& degree can not be determined B)Order is 2 & degree is 2
C)Order is 2, degree is 5 D) Order is 1 degree is 3
y ax b is
A) General solution for
3 3 0
d y dx
& particular solution for
2 2 0
d y dx
B) particular solution for
3 3 0
d y dx
& for
2 2 0
d y dx
C) General solution for
2 2 0
d y dx
& for
3 3 0
d y dx
D) General solution for
2 2 0
d y dx
& particular solution for
3 3 0
d y dx
The differential equations
2 2
3 5 3 5 and^ =
y y
dy xLogx dy y e dx (^) y e dx xLogx
(^) represent two families of curves which
A)Touch each other B) intersects at an angle of 450
C) do not meet each other D) are orthogonal.
The solution of
(^22) 2 12 log^2
d y (^) x x dx
,such that y( 1 )=0,and y /^ (1) 0 is y=
A)
2^ e 4 4
x x Log x ^ x x B)^4 1
2^ e 4 4
x x Log x ^ x
A)
2^ e 4 4
x x Log x ^ x D)^4
e 4 4 x Log x ^ x
If
(^18 18 ) 1 1
( (^) i 8) 9 and ( (^) i 8) 45 i i
x x
(^) (^) ,then the standard deviation of the observations
x ii ( 1, 2,3....18) is
A) 4/9 B)9/4 C)3/2 D)2/
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
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 )
- ROM chips are popularly used in desktop computers to store which one of the following? a) System files b) Boot files
c) Root directory d) Driver files
- A company has purchased a new laser printer that is to be installed on a stand-alone desktop computer. Which one of the following system software must be installed on that desktop computer for the printer to function? a) Operating system software. b) Hardware monitoring software. c) Fonts software. d) Driver software.
- How many times would the following loop execute? char a='a'; while(a > 'a' && a <= 'z') a++; a) Zero times b) 27 times
c) 26 times d) Infinite times
- The Internet is an example of which one of the following types of networks? a) Packet-switched network b) Circuit-switched network
c) PSTN network d) Cellular network
- What would be the binary representation of the octal number 63? a) 101101 b) 110011
c) 101011 d) 101111
- Which one of the following is the octal equivalent of the decimal number 78? a) 153 b) 174
c) 136 d) 116
- Which one of the following is the result of the addition of the two binary numbers 110101 and 101111? a) 1100100 b) 1101000
c) 1110111 d) 1100011
- Which one of the following is the result of converting the decimal number 6.75 to binary? a) 011 0. b) 0111.
c) 0110. d) 0110.
- Which one of the following binary numbers is the equivalent of the hexadecimal number F2? a) 10100001 b) 11100011
c) 11111100 d) 11110010
- Which one of the following numbering formats are really codes rather than true number systems? a) Hexadecimal and octal b) Binary and octal
c) Decimal and binary d) BCD and ASCII
- Which one of the following decimal numbers is equivalent of the binary number 0001.0010?
a) 1. b) 1.
c) 1. d) 1.
- Which one of the following decimal numbers is the equivalent of the BCD number 1001 1001? a) 93 b) 95
c) 99 d) 89
- What will be displayed, when the following C program snippet completes execution? int main(){ int a = 0, b = 100; if (a) if (b) printf("abc\n"); else printf("bcd\n"); } a) abc b) bcd c) abcbcd d) No display will be produced
- The RAM size of a computer is 1 Mbytes. How many char type data can it store? a) 8×2^10 b) 8×2^20 c) 210 d) 220
- What will be displayed when the following C code segment completes execution? if(1 && 0 %10) printf(“One”); else if(1 && 0%10>=0) printf(“Two”); else printf(“Three”); a) One b) Two c) Three d) No display will be produced
- What will be the output of the following C code? int x=-5, y=10; if(x>y) if(x<0) x=x-1; else x=2x; else x+=3*x; a) - 20 b) - 10 c) - 15 d) - 5
- Which one of the following Hexadecimal numbers is equivalent to the Octal number 72.72? a) 3A.E b) 5E.
b) 9 c) 0 d) 10
- How many times will the word “testing” get displayed when the following code snippet completes execution? int i = 0, n=10; do{ printf(“testing\n”); } while ( i++ < n ) a) 8 b) 9 c) 10 d) 11
- What would be the values of the variables i and n when the following C program segment completes execution? int n = 7, i=4; i = n++; a) i=7 n= b) i=7 n= c) i=8 n= d) i=4 n=
- What would be the value of i after the following C program segment completes execution? int i; i=17%3; a) 5 b) 6 c) 2 d) 3
- What would be displayed after execution of the following C statement? printf(“%d\n”, 28/24);** a) 32 b) 16 c) 8 d) 2
- Consider the following C code snippet. What will be displayed after the code completes execution?
a) 5 b) 7
int change( int x ) { x = 7; }
main(){ int x = 5; change(x); printf(“%d”,x); }
c) 35 d) 57
- What would be the output of the following program? int x=0,y=0; int main(){ while(x<4,y<7){ x++;y++;} printf(“%d,%d\n”, x,y); } a) 4, b) 4, c) 7, d) 7,
- What would be the result of multiplying the binary number 00001011 with the binary number 00001000? a) 01011000 b) 10111000 c) 01010100 d) 10110000
- In C, how much storage does a single character variable occupy? a) One Bit b) One Byte c) One Word d) Two Bytes
- Which one of the following storage media provides sequential access only? a) Floppy disk b) Magnetic disk c) Magnetic tape d) Optical Disk
- Which one of the following storage media uses laser technology to store data? a) Floppy disk b) Magnetic tape c) CD-ROM d) Hard disk
- Which one of the following techniques can be used to convert a scanned PDF document into an MS- WORD document? a) OCR b) OMR c) POS d) MICR
- What is the value of the base of the Hexadecimal numbers?
- What will be displayed when the following code segment completes execution? int main(){ int n =93452, r; while (n != 0){ r = r * 10; r = r + n%10; n = n/10; } printf("%d\n", r); } a) 31256 b) 45576 c) 25439 d) 25431
- Touch Screen can be considered to be which one of the following types of device? a) Input device b) Output device c) Both Input as well as output device d) Volatile memory
- LAN stands for which one of the following? a) Limited Area Network b) Local Area Network c) Logical Area Network d) Large Area Network
- What will be displayed when the following code segment completes execution? main(){ int i=10; printf("i=%d", i); { int i=20; printf("i=%d", i); } printf("i=%d", i); }
a) 10 20 20 b) 10 20 10 c) 10 20 21 d) 10 20 11
- What will be displayed when the following code segment completes execution? main(){ int value1, value2=100, num=100; if(value1=value2%5) num=5; printf("%d %d %d", num, value1, value2); }
a) 100 100 100 b) 5 0 20 c) 5 0 100 d) 100 0 100
- What will be the output of the following piece of code? int i; for(i = 0; i<10; i++); printf("%d\n", i);
a) 10 b) 0123456789 c) 123456789 d) 11
- What will be the output of the following code? main(){ int s=0; while(s++<10){ if(s<4 && s<9) continue; printf("%d\n", s); } } a) 1 2 3 4 5 6 7 8 9 b) 1 2 3 10 c) 4 5 6 7 8 9 10 d) 4 5 6 7 8 9
- Which one of the following would result on conversion of the decimal number 151.75 to binary? a) 10000111. b) 11010011. c) 10010111. d) 00111100.
- Assuming that all following numbers are in 2's complement representation, which one of the following numbers is divisible by 11111011? a) 11100111 b) 11100100 c) 11010111 d) 11011011
- The range of integers that can be represented by an n bit 2's complement number system is a) – 2 n^ -^1 to (2n^ -^1 - 1) b) - (2n^ -^1 - 1) to (2n^ -^1 - 1) c) - 2 n^ -^1 to 2n^ -^1 d) - (2n^ -^1 + 1) to (2n^ -^1 + 1)
}
a) 95 b) 5 c) 7 d) 34
- In a C program, following variables are defined. Which one of the following is the correct way to display the values of these two variables. long int i = 2; double x = 2.17; a) printf(“%d %f”,i,x); b) printf(“%ld %f”,i,x); c) printf(“%ld %df”,i,x); d) printf(“%ld %lf”,i,x);
- What will get displayed after the following program segment completes execution? void f1 (int a, int b){ int c; c=a; a=b; b=c; } void f2 (int a, int b){ int c; c=a; a=b;b=c; } int main(){ int a=4, b=5, c=6; f1(a, b); f2(&b, &c); printf (“%d”, c-a-b); }
a) - 5 b) - 4 c) 5 d) 3
