1. If a and fJ are the roots ofax2 bx e 0 then the equation whose roots are aa band afJ b
IS x2 -b4" ae x2 -bx -ae x2 -ex ab 0 x2 -ex -ab
2.
The decimal representation ofan integer, whose ternary representation is 2120201, is 1982 1882 1782 1682

3.
In a group of 520 persons each can speak at least one of Hindi and English languages. If 490 persons can speak Hindi and 260 persons can speak English then the number of persons who can speak both the languages is 205 210 220 230

4.
Number of positive integers less than 1000 which are divisible either by 5 or by 7 is 311 312 313 314

5.
For any positive integer let.fk be the function defined, for all real numbers by .fk(x) (sinkx eoix); then the value ofj4(x) is:
12
10
8
6
6.
A candidate is required to answer 6 out of 10 questions which divided into two parts each containing 5 questions. If the candidate is not permitted to attempt more than 4 questions from either part, then the number ofdifferent ways in which he/she can choose 6 questions is 50 100 150 200

7.
Let X and Ybe two sets,f: X Yandg Y Xbe two functions such that the composition gofofg andfis the identity function onX Then, which of the following statements is true A)fis surjective B)fis injective g is surjective g is

8.
The value oflimx-.?o x is A)O I



C)2
9. In the expansion of -..fa)7 the coefficient of..fa is
A) 21 -21 C)7
10. The sum of the squared deviations ofa set of numbers is minimum when deviations are from
A) median geometric mean arithmatic mean origin
11) A drawer contains 50 bolts and 150 nuts. Half of the bolts and half ofthe nuts are rusted. If one item is chosen at random, the probability that it is rusted or is a bolt is 5/12 5/8 5/16 3/10
12) Consider the following image:

Ifthetriangles are isosceles, whatis theareaofthe quadrilateral? 48
3 B)8 24 D)I2

13. Evaluate the equation
(-fXi. 1 where x is a non-zero real number. The answer should be:
A) 1
B) 0 2
D)
14.
Iff(x) l(x2 what is the value off 25 B)38 C)50 15

15.
I x x2 x3=60, then average ofx,x2,x3 and x4 is equal to which ofthe following? 12x 15x 20x 60x

16.
What is meant by a dedicated computer Which is used by one person only Which is assigned one and only one task Which uses one kind of software Which is meant for application software

17.
A Program or set of programs that converts a source code written in high level language to the object code instruction by instruction is a Compiler Assemble Program Manager Interpreter

18.
BIOS stands for Basic Input Output Software Basic Input Output Service Basic Input Output Structure Basic Input Output System

19.
Programs stored in ROM are called Firmware Software



C) Hard.ware Middleware
20.
One ofthe following construct is used to select proper path out of two or more alternative paths in programming If ..else Whiie..do do..while for

21.
Which of the following is not a valid "C" Language expression l x

22.
What will be the output ofthe following "C" code segment


mainO
int printf("%d", 5
B) 1
C)2 3
23. The code below contains lines ofstack operations, what will be the value at the top of the
stack once the code is executed? S.push(5) S.push(6) S.push(S.popO
S.push(S.popO
S.push(l2)
S.push(l3)
S.popO
S.push(S.popO 20)
S.push(S.popO 20)

A) 52 42 32 22

24.
IfBAGHAVAN is coded as BADEASAK, then GABBAR will be coded as: DXYYXO B)DAZZAO C)DABBAO D)DBZZBO

25.
Which of the following computer languages is used in artificial intelligence? FORTRAN


B) C
C) PASCAL PROLOG
PartB
26) A machine-readable code consisting of an array of black and white squares for reading by the camera on a smartphone is called Barcode UPC Code QRCode Mobile tagging code
27) A form of distributed and parallel computing, whereby a 'super and virtual computer' is composed of a cluster of networked, loosely coupled computers acting in concert to perform very large computational assignments in a federated system: Peer to peer system Utility computing: Grid computing Client-server model
28) Following is NOT the feature of MySQL It is an open source code RDBMS It is not limited by hard disk performance MySQL can be run on cloud computing platforms It is written in C and C
29) What command is used to save the standard output in a file and to display it on the terminal? tee grep cat more

30) The binary internet address 11001100.10000100.00101000.10011011 will be written in
dotted decimal notation as
A) 204.132.40.155
B) 19.120.10.6
C) 192.16.0.1
D) 55.55.55.1
31.
The number of lead atoms in a lead block with the volume of 0.3 cm3 is (atomic mass of lead 207 u