IIT JAM MCA Mock Paper

Free IIT JAM MCA Entrance Exam Practice Mock Test:

Question: The order of 2 in the field Z₂₉ is
(a) 2
(b) 14
(c) 28
(d) 29

Question: Given list I and list II as

	List I		List II
P.	Abhijnana Shakuntalam	1.	Tulsidas
Q.	Godan	2.	Valmiki
R.	Ramcharitmanas	3.	Kalidas
S.	Ramayana	4.	Jawaharlal Nehru
T.	Discovery of India	5.	Prem Chand

Which of the following group is correct?
(a) (R-2, S-3, T-4)
(b) (P-1, Q-5, S-2)
(c) (P-3, S-2, T-4)
(d) (Q-5, R-2, T-4)

Question: Consider the following fragment of a C program
int x = 20;
int y = 25;
int z = x ^ y;
where ^ denotes bit-wise XOR operation. Then the value assigned to z will be
(a) 20
(b) 25
(c) 23
(d) 13

Question: The volume of the region in R3 given by 3 | x | + 4 | y | + 3 | z | ≤ 12 is
(a) 64
(b) 48
(c) 32
(d) 24

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Question: In the following table, numbers 1, 2, 3, 4 are to be arranged wherever missing in such a way that each row as well as each column has all of these numbers exactly once

		4	2
2	4
			1
	1

The missing entries in the main diagonal are
(a) 1, 2, 3
(b) 2, 3, 4
(c) 1, 3, 4
(d) 1, 2, 4

Question: What does a light pen contain?
(a) Refillable ink
(b) Pencil lead
(c) Light sensitive elements

Question: Two teams A and B play a series of four matches. If the probability that team A wins a match is 2/3, then the probability that team A wins three matches, loses one and the third win occurs in the fourth match is
(a) 8/27
(b) 16/27
(c) 8/81
(d) 32/81

Question: What will be the decimal equivalent of (111011.10)²
(a) 48.625
(b) 59.487
(c) 48.487
(d) 59.625

Question: Let F(x, y, z) = x² + y² + z² + xy + yz + zx . The value of  F_x+ F_y+ F_zat (1, 1, 1) is
(a) 12
(b) 10
(c) 16
(d) 8

Question: What will be output if you will compile and execute the following c code?
#include<stdio.h>
int main(){
double far* p,q;
printf(“%d”,sizeof(p)+sizeof q);
return 0;
}
(a) 12
(b) 8
(c) 1
(d) 4

Question: The decimal number 127 may be represented by
(a) 1111 1111B
(b) 1000 0000B
(c) EEH
(d) 0111 1111

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Question: The function f (x, y) = x³ + 3xy² − 4y³ −15x has a local
(a) minima at (− 5, 0)
(b) minima at ( 5, 5)
(c) maxima at (5, 0)
(d) maxima at (− 5, 0)

Question: Information is stored and transmitted inside a computer in
(a) binary form
(b) ASCII code form
(c) decimal form
(d) alphanumeric form

Question: The order of the permutation (12) (546) (3978) in the symmetric group S₉ is
(a) 6
(b) 9
(c) 12
(d) 24

Question: An FPU
(a) makes integer arithmetic faster
(b) makes pipelining more efficient
(c) increases RAM capacity
(d) makes some arithmetic calculations faster

Question: An unbiased coin is tossed eight times. The probability of obtaining at least one head and at least one tail is
(a) 255/256
(b) 127/128
(c) 63/64
(d) 31/32

Question: What will be output if you will compile and execute the following c code?
#include<stdio.h>
int main(){
int i=10;
static int x=i;
if(x==i)
printf(“Equal”);
else if(x>i)
printf(“Greater than”);
else
printf(“Less than”);
return 0;
}
(a) Equal
(b) Greater than
(c) Less than
(d) Compiler error

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Question: What do the abbreviations VAB stand for?
(a) Voice activated broadcasting
(b) Voice answer back
(c) Visual audio board

Question: Let a₀ + a₁ x + a₂ x² + a₃ x³ + … be the Taylor series for the function sin (x² + 3x) about x = 0. Then a₃ equals
(a) –9/2
(b) 9/2
(c) 27/2
(d) –27/2

Question: A software is termed an open source software if
(a) the developer company is open 24 hours
(b) its source code is available to share, study and modify
(c) it can be downloaded from the Internet
(d) it is available free of cost

Question: Let f (x) = x² +1, g(x) = x³ + x² +1 and h(x) = x⁴ + x² +1. Then
(a) f (x) and g(x) are reducible over Z₂
(b) g(x) and h(x) are reducible over Z₂
(c) f (x) and h(x) are reducible over Z₂
(d) f (x), g(x) and h(x) are reducible over Z

Question: Order the following memory types in increasing order of access time
M1: Cache, M2: CD-ROM, M3: Hard disk, M4: RAM, M5: Register
(a) M5 M1 M4 M3 M2
(b) M5 M1 M3 M4 M2
(c) M1 M5 M4 M3 M2
(d) M1 M4 M5 M3 M2

Question: Let f (x) = 2x³ + 3x² −12x + 4 for all x ∈R . Then
(a) f is not one-one on [−1,1]
(b) f is one-one on [−1,1] but not one-one on [−2, 2]
(c) f is one-one on [0, 2] but not one-one on [−2, 0]
(d) f is one-one on [−2, 2]

Question: Example of non-numerical data is
(a) Employee address
(b) Examination score
(c) Bank balance
(d) None of the above

Question: Which of the Following holds the ROM, CPU, RAM and expansion cards
(a) Hard disk
(b) Floppy disk
(c) Mother board
(d) None of the above

Question: The language that the computer can understand and execute is called
(a) Machine language
(b) Application software
(c) System program
(d) None of the above

Question: Let f (x, y) = x³ + y³ for all (x, y) ∈R² . Then
(a) f has a local maximum at (0, 0)
(b) f has a local minimum at (0, 0)
(c) f has neither a local maximum nor a local minimum at (0, 0)
(d) f has both a local maximum and a local minimum at (0, 0)

Question: Consider the following C program
int main() {
char str[] = “leap”;
int len = strlen(str)-1;
int i = 0;
while (i <= len) {
str[i] = str[len-i];
i++;
}
printf(“%s”, str);
return 0;
}
The output of the program will be
(a) paal
(b) pael
(c) papa
(d) paap

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Question: An example of an embedded system is ___?
(a) A calculator
(b) A machine tool
(c) A CD-ROM

Question: The value of f (5) using Lagrange’s interpolation formula, given

x	0	1	4	6
F (x)	1	–1	1	–1

is
(a) -3/2
(b) -1
(c) 1
(d) 3/2

Question: Consider the following two lists:

Question: What will be output if you will compile and execute the following c code?
#include<stdio.h>
int main(){
int i=320;
char *ptr=(char *)&i;
printf(“%d”,*ptr);
return 0;
}
(a) 320
(b) 1
(c) 64
(d) Compiler error

Question: The number of functions taking two Boolean variables as input and providing three Boolean variables as output is
(a) 12
(b) 32
(c) 4096
(d) 65536

Question: In a C program, variables x and y are declared to be of type int. Consider the following four statements
S1: y = x & 1; S2: y = x % 2;
S3: y = x / 2; S4: y = x << 1;
Which of the statements will result in the same value of y for every value of x?
(a) S3 and S4
(b) S1 and S3
(c) S1 and S2
(d) S2 and S4

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Question: Let P be a matrix of size 3 x 3 with eigen values 1, 2 and 3. Then P is
(a) neither invertible nor diagonalizable
(b) both invertible and diagonalizable
(c) invertible but not diagonalizable
(d) not invertible but diagonalizable

Question: What will be output if you will compile and execute the following c code?
#include<stdio.h>
#define x 5+2
int main(){
int i;
i=x*x*x;
printf(“%d”,i);
return 0;
}
(a) 343
(b) 27
(c) 133
(d) Compiler error

Question: This US president is associated with the abolition of slavery. Identify him from the given options.
(a) George Washington
(b) Abraham Lincoln
(c) Franklin D Roosevelt
(d) Richard Nixon

Question: The twinkling of stars is due to the phenomenon of _____
(a) Reflection
(b) Refraction
(c) Diffraction
(d) Scattering

Question: If 8x − y = 15 is a tangent at (2, 1) to the curve y = x³ + a x² + b , then (a, b) is
(a) (1, 3)
(b) (−1, 3)
(c) (1, −3)
(d) (−1, −3)

Question: Using 2’s Complement, subtraction, of (1010)² from (0011)² is
(a) (0111)²
(b) (1001)²
(c) –(0111)²
(d) –(1001)²

Question: Indicate which , of the following is not true about 4GL.
(a) 4GL does not support a high –level of screen interaction
(b) Many database management system packages support 4GLs
(c) A 4GL is a software tool which is written, possibly, in some third generation language
(d) None of the above

Question: Ethernet uses
(a) Bus topology
(b) Ring topology
(c) Mesh topology
(d) None of the above

Question: A computer cannot “boot” if it does not have the
(a) Compiler
(b) Loader
(c) Operating system
(d) Assembler

Question: The remainder obtained on dividing 2¹⁶⁸⁰ by 1763 is
(a) 1
(b) 3
(c) 13
(d) 31

Question: Which of the following sets is NOT a convex set?
(a) {(x, y) | 4x² + y² ≤ 9, x − y ≤ 1}
(b) {(x, y) | 4x² + y² ≤ 9, x − y ≥ 1}
(c) {(x, y) | 4x² + y² ≥ 9, x − y ≥ 5}
(d) {(x, y) | 4x² + y² ≥ 9, x − y ≤ 5}

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Question: Let G be a group of order 8 generated by a and b such that a⁴ = b² = 1 and ba = a³b . The order of the center of G is
(a) 1
(b) 2
(c) 4
(d) 8

Question: Let S be a set with 10 elements. The number of subsets of S having odd number of elements is
(a) 256
(b) 1024
(c) 512
(d) 752

Question: A file is corrected immediately after the input of a transaction. This is an example of
(a) sorting
(b) batching
(c) on-line updating
(d) off-line updating

Question: The general solution of the differential equation
y”(x) – 4y’ (x) + 8y(x) = 10 e^x cos x
(a) e^2x (k₁ cos 2x + k₂ sin 2x) + e^x (2 cos x + sin x)
(b) e^2x (k₁ cos 2x + k₂ sin 2x) + e^x (2 cos x – sin x)
(c) e^–2x (k₁ cos 2x + k₂ sin 2x) – e^x (2 cos x – sin x)
(d) e^–2x (k₁ cos 2x + k₂ sin 2x) + e^x (2 cos x + sin x)

Question: For the set W = { (x, 1, z) ∈ ℝ 3 }, consider the statements
P. W is not closed under vector addition
Q. W is closed under scalar multiplication
R. W has an additive identity
S. W is not a subspace of ℝ 3
Which of the following group of statements is true?
(a) P, R
(b) Q, R
(c) P, S
(d) Q, S

Question: The National anthem of India was sing for the first time at the Calcutta session of Indian National Congress in the year _____
(a) 1906
(b) 1909
(c) 1911
(d) 1913

Question: A Register is a group of _____
(a) OR gates
(b) OR & AND gate
(c) Flip-flops
(d) None of these

Question: Example of non-numerical data is
(a) Employee address
(b) Examination score
(c) Bank balance
(d) None of the above

Question: Which of the following schedules of the Constitution of India deals with the Union list, State list and Concurrent list?
(a) Fourth Schedule
(b) Fifth Schedule
(c) Sixth Schedule
(d) Seventh Schedule

Related: Interpretation questions

Question: This is truth table for ______ gate

A	B	Y
0	0	0
0	1	1
1	0	1
1	1	0

(a) OR gate
(b) AND gate
(c) NAND gate
(d) EX-OR gate

Question: If g(x, y) dx + (x +y)dy = 0 is an exact differential equation and if g(x, 0) = x² , then the general solution of the differential equation is
(a) 2x³ +2xy + y² = c
(b) 2x³ + 6xy +3y² = c
(c) 2x + 2xy + y² = c
(d) x² + xy + y² = c

Question: Let V and W be vector spaces over a field F with dim FV = m and dim F W = n, where m and n both are finite. Then dim F Hom(V,W) is
(a) m + n
(b) m – n
(c) mn
(d) m/n

Question: Let F be a field. Given below are six statements about F
1. F is a skew field
2. F is a group with respect to multiplication
3. F is an integral domain
4. F has zero divisors
5. F has no zero divisors
6. Only ideals of F are {0} and itself

In which of the following options all the statements are correct?
(a) 1, 2, 3
(b) 1, 3, 5
(c) 2, 4, 6
(d) 4, 5, 6

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Question: A bootstrap is:
(a) a memory device
(b) a device to support the computer
(c) a small initialization program to start up a computer
(d) an error correction technique

Question: The chief reason why digital computers use complementally subtraction is that is
(a) simplifies their circuitry
(b) is a very simple process
(c) can handle negative numbers easily
(d) avoids direct subtraction

Question: The order of the quotient group ℤ8 × ℤ 9 × ℤ18 / 〈 (2, 2, 2) 〉 is
(a) 18
(b) 36
(c) 72
(d) 144

Question: An iteration scheme generates a sequence {x_n}. For some α, c ∈ R, {x_n} satisfiesú a – x_{n + 1} ú £ c ú a – x_n ú for all n ≥ 0 . Which one of the following conditions on c ensures the convergence of {x_n}?
(a) c = 1
(b) c > 1
(c) c > 0
(d) 0 < c < 1

Question: Which of the following sets is NOT a convex set?
(a) {(x, y) | 4x² + y² ≤ 9, x − y ≤ 1}
(b) {(x, y) | 4x² + y² ≤ 9, x − y ≥ 1}
(c) {(x, y) | 4x² + y² ≥ 9, x − y ≥ 5}
(d) {(x, y) | 4x² + y² ≥ 9, x − y ≤ 5}

Question: Operating system
(a) Link a program with the subroutines it references
(b) Provides a layered, user-friendly interface
(c) Enables a programmer to draw a flowchart
(d) None of the above

Question: Consider the following C program
main()
{
int i=-1,j=-1,k=0,l=2,m;
m=i++&&j++&&k++||l++;
printf(“%d %d %d %d %d”,i,j,k,l,m);
}
The output of the program will be
(a) 0 0 1 3 1
(b) 0 1 1 3 1
(c) 0 2 1 3 1
(d) 1 0 1 3 1

Question: The program
main( )
{ int a = 256, *p=&a;
printf(“%d”,*p>>5);
}
prints
(a) 2
(b) 4
(c) 6
(d) 8

Question: The area bounded by the curves x² = 4 − 2y and x² = y + 4 is
(a) 16
(b) 24
(c) 30
(d) 36

Question: The output of the following program
main( )
{
int a[ ] = “computation”;
char *p = a, b=’ ‘;
for (int i = 1; i < 12; i++)
if(i%4) continue;
else a[i]=b;
puts(p);
}
is
(a) comp
(b) comp tat on
(c) com utat on
(d) comp tati n

Question: Multiplexer means ____
(a) One into many
(b) many into one
(c) many into many
(d) none of these

Question: The value of x in the sequence 2, 4, 10, 28, 82, x, … is
(a) 102
(b) 168
(c) 252
(d) 244

Question: This famous Indian freedom fighter established the newspaper titled Young India. Identify him from the given options.
(a) MK Gandhi
(b) Lala Lajpat Rai
(c) GK Gokhale
(d) BG Tilak

Question: The area bounded by the curves x² = 4 − 2y and x² = y + 4 is
(a) 16
(b) 24
(c) 30
(d) 36

Related: Speed example problems

Question: The term ‘baud’ is a measure of the:
(a) speed at which data travels over the communication line
(b) memory capacity
(c) instruction execution time
(d) all of the above

Question: Let P, Q, R and S be statements, each of which can be either true or false. It is known that if P is true or Q is true then R is true and S is false. Suppose it is given that R is false. Then which one of the following will certainly be TRUE?
(a) Both P and Q are true
(b) P is true and Q is false
(c) P is false and Q is true
(d) Both P and Q are false