Download exponential and logarithmic series

INFOMATHS
BITS MOCK TEST-2
(a) |A|n – 1 A
(c) |A|n
(b) |A|n – 2 A
(d) none
2 2 0 
14. Last row of inverse of 3 2  1 is
4 1 2 
SECTION – 1 MATHS
1
The value of C0 + 2C1 + 3C2 + .. + (n + 1) Cn is
(a) (n + 2) 2n – 1
(b) n.2n – 1
n–1
(c) (n + 1) 2
(d) (n + 2) 2n + 1
2. The three consecutive coefficients in the expansion of
(1 + x)n are 28, 56 and 70, then n is
(a) 6
(b) 4
(c) 8
(d) 10
3. The greatest term in expansion of (5 – 4x)-7, when x =
½, is
(a) t2
(b) b2 = t3 (c) t4 = t5 (d) t3 = t4
4. The sum of coefficient in expansion of (1 + x – 3x)216,
is
(a) 2216 (b) 2216 – 1 (c) –1
(d) 1
1.2 2.3 3.4
5. The value of


 .....  , is
1!
2!
3!
(a) 2 e
(b) 3 e
(c) 3e – 1 (d) e
1 1 1
   ...
2
6. Value of ! 4! 6!
1 1
1    .....
3! 5!
e 1
e 1
2
2
(a)
(b)
(c)
(d)
e 1
e 1
e 1
e 1
1
1
1
7. Sum of series 

 .....  , is
2
4 2.4
3.4 3
(a) log (3/4)
(b) log (4/3)
(c) log (3/2)
(d) log (2/3)
bc
a
a
bc
8.
Value of determinant
9.
c
c
ab
(a) a b c (b) 2 abc
(c) 3 abc (d) 4abc
If w is a cube root of unity, then value of
w3
w2
w3
1
w
w2
w
1
1
(a) 1
(b) 3
x4
10. One root of
(a) 3
2
2
(b) 4
2 2 3
b
(c) 2
3
x2
15.
16.
17.
18.
19.
is
b
20.
(d) 5
21.
0
22.
5
5
3
x4
(c) 2
(d) 1
6
11. If D = 3 4 5 and D’ = 9
5 6 7
(a)
9
23.
12 15 then D’ is
15 18 21
equal to
(a) D
(b) 3 D (c) 9 D (d) 27 D
1 2  3 
12. The matrix A = 2 1  2 is
3 2 1 
(a) Singular
(b) Invertibla
(c) Symmetric
(d) none
13. If A is square matrix of order n  n, then adj (adj A) is
1 3 1
, ,
2 5 5
(b) 2, 4, -2
3 1
,1,
2 5
If A is (n  1) non zero matrix and B is (1  n) nonzero matrix the R (AB) is
(a) 2
(b) n
(c) n2
(d) 1
  2 2  3
The correct set of eigen value of  2
1  6 is
  1  2 0 
(a) 4, -2, -3
(b) –5, 2, 2
(c) 5, -3, -3
(d) 5, 3, -3
The number of solution of x + y – z = 0 3x – y –z = 0
and x – 3y + z = 0, is
(a) 1
(b) 2
(c) 0
(d) 
The value of p for which the system of equations x + y
+ z = 1, x + 2y + z = 2 and x + 4y + 10z = p has a
solution, is
(a) 3
(b) 4
(c) 15
(d) -6
Equation of circle passing through point of intersection
of circles x2 + y2 = 6 and x2 + y2 – 6x + 8 = 0 and the
point (1, 1) is
(a) x2 + y2 – 6x + 4 = 0
(b) x2 + y2 – 3x + 1 = 0
2
2
(c) x + y – 6x + 4 = 0
(d) x2 + y2 – 4x + 4 = 0
Circles x2 + y2 – 2x – 4y = 0 and x2 + y2 – 8y – 4 = 0
will touch
(a) Internally
(b) Externally
(c) Intersect in two distinct point
(d) None
If two circle x2 + y2 + 3x – 6y + 4 = 0 and x2 + y2 + 8x
+ py + 6 = 0 cut orthogonaly, then p is
(a) 2/5
(b) –2/5 (c) 2/3
(d) –2/3
Pole of line 2x + 3y + 4 = 0 with respect to circle x2 +
y2 – 4x + 6y – 1 = 0, is
(a) (10, 29)
(b) (-10, 39)
(c) (39, 30)
(d) (39, -20)
The coordinates of focus of parabola 2x2 + 5y – 3x + 4
= 0, are
3 1 
 3 1 
(a)  , 
(b)  , 
 4 20 
 4 20 
(c) –3, 2, -1
(d)
  25 
(c)  3,

 40 
(d) none
24. If (at12 ,2at1 ) and (at 22 ,2at 2 ) are end points of a focal
chord of y2 = 4ax, then which is correct
(a) t t2 = 0
(b) t1 t2 = 2
1
INFOMATHS/MCA/MATHEMATICS
INFOMATHS
(a) –2z
(b) 2 z
(c) z-2
(d) z-1
1
(d) t1 t2 = - 2
z z
t2
36. If z = log (x3 + y3 – x2 y – xy2), then
is

2
2
x y
25. The length of latus rectum of ellipse 4x + 9y – 8x –
36y + 4 = 0, is
(a) 2 (x + y)
(b) 2 (x + y)-1
2
2
(c)
x
+
y
+
xy
(d) x2 + y2 – xy
(a) 4/3
(b) 5 / 3
37. If sum of two numbers is 3, then maximum value of
product of first and square of second, is
(c) 16/3
(d) 8/3
(a) 4
(b) 3
(c) 2
(d) 1
26. The equation of diameter conjugate to diameter y = 3x
  x, y 
for ellipse 4x2 + 9y2 = 36, is
38. If x = 4 cos , y = r sin , then
is
(a) 4x + 27y = 0
(b) x + 3y = 0
 r , Q 
(c) 4x + 3y + 7 = 0
(d) 4x – 3y + 5 = 0
(a) r
(b) r-1
27. The hyperbola whose focus is (2, 0), directrix is x – y
(c) r (sin  + cos )
(d) 1
= 0 and e = 2, is given by
39.
The
maximum
value
of
x
(1
– x)2 in the interval 0 x 
2
2
(a) x – 4xy + y – 4 = 0
2,
is
2
2
(b) x + y + xy + x + 4 = 0
(a) 2
(b) 4/27 (c) 5
(d) 0
(c) x2 – 4xy + y2 + 4x – 4 = 0
dy
(d) none
40. If y = loge (x + (x2 – a2)), then
2
2
dx
28. The point of contact of line y = x – 1 with 3x – 4y =
12, is
1
1
(a)
(b)
(a) (4, 3)
(b) (3, 4)
2
2
2
x   (x  a )
 (x  a 2 )
(c) (4, -3)
(d) (-4, -3)
(c) x - (x2 – a2)
(d)  (x2 – a2)
29. The equation of tangents to hyperbola 3x2 – 4y2 = 12
which cut equal intercepts on coordinate axes, are
1 x 
41. Value of   
 dx is equal to
(a) x + y =  1
(b) y – x =  1
 1 x 
(c) 3x + 4y =  1
(d) x + y =  1/3
(a) sin – 1 x + (1 – x2) + c
1
/
2
x  x
dy
(b) sin – 1 x – (1 – x2) + c
30. If y = tan-1 
, then
is
3/ 2 
(c) log (x + (1 – x2)) + c
dx
 1  x

(d) none
1
1

(a) 0
(b)
4e x  6e  x
dx  Ax  B log (9e 2 x  4) , then A is
42. If  x
21  x  x 1  x 2
9e  4e  x
x
1
3
35
19
3

(c)
(d) none
(a)
(b) 
(c)
(d)
21  x  1  x 2
36
36
3
2
a
dy
 cos x  sin x 
3
/
2
31. If y = tan-1 
43.  x 2 a 2  x 2
dx is equal to
 , then dx is
 cos x  sin x 
0
(a) 1
(b) 0
(c) 2
(d) –1
a 6
2a 5
a6
x
(a)
(b)
(c)
(d) none
2
32. Differential coefficient of log 10 with respect to x , is
32
15
32
(c) t1 

(a)
(c)
log 10
2x 2
3
2 log 10
2
(b)
e
log 10
1
44. The value of  x | x |dx is
2x 2
1
(a) 0
(d) none
x
45.
33. If y =  [log x + {log x +  (log x + …..)}], then
dy
dx
e
(b) 1
 xx
 1 x 2

tan1 x  1 
1
(a) x e tan
is
(a)

x
(c) x 1e tan
1
x
2x 1
(b)
x
2y 1
b
1
(c)
(d) none
x(2 y  1)
34. The fourth differential of x3 logx, is
(a) x
(b) 6x –1 (c) 6 x-2 (d) 3 x
log x  log y
z
z
35. If z = x-2 + x-1 y-1 +
, then x  y
2
2

x

y
x y
is equal to
46.

a
c
x
c
(c) 0
2
(d) none

dx


1
(b) x 2 e tan
x
c
(d) none
f x 
dx is equal to
f x   f a  b  c 
a b
ba
(c) b - a (d)
2
2
47. Area of figure bounded by y = sin x, y = cos x and in
the first quadrant, is
(a) 2 (2 – 1)
(b) 3 + 1
(a) a- b
2
(b)
INFOMATHS/MCA/MATHEMATICS
INFOMATHS
(c) 2 (3 – 1)
(d) 2 ( + 1)
48. Area bounded by the curve y = x3, the x axis and the
ordinates x = -2 and x = 1, is
(a) -9
(b) –15/4 (c) 15/4 (d) 17/4
49. The ellipse 4x2 + 9x2 + 16x – 54y + 61= 0 is revolued
about major axis, the volume of solid thus generated, is
(a) 24 (b) 32 (c) 16 (d) 12
2  3x
dx is
50. The value of 
3  4x
3x 17
3 x 17
(a)
(b)
 log 3  4 x 
 log3  4 x 
4 16
4
4
3x 17
 log 3  4 x  (d) none
(c)
2
16
51. Study the sequence of alphabets and then given correct
missing alphabet
MPKRIT?
(a) U
(b) V
(c) G
(d) H
52. the cost price of 10 articles is equal to setting price of 9
articles. The profit percent is
(a) 102. (b) 11.5 (c) 12.2 (d) 11.1
53. The missing term of series is
67, 57, 52, 42, 37, 27, 22 ?
(a) 12
(b) 10
(c) 18
(d) none
54. The radius of a sphere is increased by 5%. The
increased percent in volume of sphere is
(a) 12.50 (b) 15.76 (c) 10.23 (d) 16.28
55. The coordinates of the middle point of the chord cut
off by 2x – 5y + 18 = 0 by the circle x2 + y2 – 6x + 2y
– 54 = 0 are
(a) (1, 4) (b) (2, 4) (c) (4, 1) (d) None
56. The centre of hyperbola
9x2 – 36x – 16y2 + 96y – 252 = 0 is
(a) (2, 3) (b) (-2, -3) (c) (-2, 3)
(d) (2, -3)
57. If G1 and G2 are the geometric means of two series of
sizes n1 and n2 respectively, then geometric mean G of
combined series is
(a) log G = n1 log G1 + n2 log G2
G 
G 
(b) log G  log 1   log 2 
 n1 
 n2 
n log G1  n 2 log G 2
(c) log G  1
n1  n 2
(d) none
58. If X and Y are independent variables, then two lines of
regression are
(a) x = 0, y = 0
(b) x = 0, y = conts,
(c) x = conts, y = conts. (d) none
cos x  x sin x
59. Value of integral 
dx is
xx  cos x 
(a) log (x (x + cos x)) + c
x


(b) log
c
 x  cos x 
1
1
1
1

 ......  is equal to
60. The lim  
n   na
na  1 na  2
nb 
b
(a) log 
a
a
(b) log 
b
(c) log a (d) log b
SECTION – 2 COMPUTER
1. A CPU generally contains
(a) registers and ALU
(b) control and timing section
(c) instruction decoding circuit
(d) All of these
2. Which of the following coded entries are used to
control access to computers ?
(a) Code words
(b) Pass memory
(c) Binary pass
(d) ASCII codes
3. Hard copy of document can be obtained from
(a) card reader
(b) CRT
(c) Laser Printer
(d) paper tape
4. With a clock frequency of 3 MHz, the execution time
for the instruction, “STA addr” of 8085 will be
(a) 4333 ns
(b) 3975 ns
(c) 3115 ns
(d) 3960 ns
5. The Trap interrupt mechanism of the 8085 microposser
executes
(a) an RST by hardware
(b) the instruction supplied by external device through
the INTA signal
(c) an instruction from memory location 20 H
(d) a NOP
6. Pseudo-instructions are
(a) assembler directives
(b) instructions in any program that have no
corresponding machine code instruction
(c) instruction in any program whose presence or
absence will not change the output for any input
(d) none of the above
(e) odd number of error detection
7. Which of the following binary numbers are not
divisible by 4 ?
(a) 10101010101010 (b) 1110001110001
(c) 1111000011
(d) all of these
8. Programming in a language that actually controls the
path of signals or data within
(a) micro programming
(b) systems programming
(c) assembly language programming
(d) machine language programming
9.
 x  cos x 
(c) log
c
x


(d) None
3
A
1
1
1
B
C
A
The output of a 3-input logic circuit f (x, y, z) is 1 if ax
+ by + cz < d and 0, otherwise (a, b, c, d are constant).
For what values of a, b, c, d and does this represent an
implementation of the AND gate.
(a) a = b = c = 1; d = 5/2
INFOMATHS/MCA/MATHEMATICS
INFOMATHS
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
(b) T1  T2
(c) T1 < T2
(d) T1 is T2 plus the time taken for one instruction
fetch cycle
2. What is the output of the following ‘C’ program?
main( )
{
exterm int a;
i = 20;
printf (“\n%d”, a);
}
int a = 20;
(a) 0
(b) 20
(c) Error (d) Garbage value
8. What is the output of the following ‘C’ program?
main( )
{
int i = 2;
printf (“n%d%d”, ++i, ++i);
}
(a) 3 4
(b) 4 3
(c) 4 4
(d) Output may vary from compiler to complier.
19. If the binary equivalent of 5.375 in normalized form is
0100 0000 1010 1100 0000 0000 0000, 0000 what is
the output of the following ‘C’ program?
main( )
{
float a = 5.375;
char *p;
int i;
p = (char*) &a;
for (i = 0; i <= 3; i++)
Printf (“%02x”, (unsigned char) p[i]););
}
(a) 40 AC 00 00
(b) 00 CA 00 40
(c) 00 00 AC 40
(d) 00 00 CA 04
23. What is the output of the following ‘C’ program?
main( )
{
char str1[] = “Hello”’
char str2[] = “Hello”;
if (str == str2)
printf (“\nqual”);
else
Printf (“\nUnequal”);
}
(a) Equal
(b) Unequal
(c) Error
(d) None of the above
67. If y is of integer type, then the expressions
3 * ( y – 8) / 9 and (y – 8) / 9 * 3
(a) must yield the same value.
(b) must yield different values.
(c) may or may not yield the same value.
(d) none of the above
1. The run-time stack is characterized by:
(a) automatic allocation and automatic deallocation of
memory
(b) a = b = c = - 1; d = - 5/2
(c) a = b = c = 1; d = 3/2
(d) a = b = c = - 1; d = -3/2
The range of numbers that can be stored in 8 bits, if
negative numbers are stored in 2’s complement form is
(a) – 128 to + 128 (b) – 128 to + 127
(c) – 127 to + 128 (d) – 127 to + 127
The Karnaugh map for the Boolean function F of 4
boolean variables is given below where A, B, C are
don’t care conditions. What values of A, B, C, will
result in the minimal expression?
(a) A = B = C = 1
(b) B = C = 1; A = 0
(c) A = C = 1; B = 0
(d) A = B = 1’ C = C
The clock of a micro-processor can be divided by 5
using a
(a) 3 bit counter
(b) 5 bit counter
(c) mod 5 counter
(d) mod 3 counter
A decimal number has 25 digits. The number of bits
needed for its equivalent binary representation is,
approximately,
(a) 50
(b) 60
(c) 70
(d) 75
The Boolean expression (A + C) (AB΄ + AC) (A ΄C΄ +
B΄) can be simplified to
(a) AB
(b) AB + A΄C
(c) A΄B + BC
(d) AB + BC
The first operating system used in micro-processors is
(a) Zenix
(b) DOS
(c) CP/M
(d) Multics
The advantage of MOS devices over bipolar devices is
that
(a) it allows higher bit densities and also cost
effective
(b) it is easy to facricate
(c) its higher-impedance and operational speed
(d) all of these
The main advantage of hexadecimal number is the case
of conversion from hexadecimal to………… nd vice
versa.
(a) decimal
(b) binary
(c) ASCII
(d) BCD
An OR gate has 6 inputs, how many input words are in
its truth table?
(a) 64
(b) 32
(c) 16
(d) 128
Consider a set of n tasks with known runtimes rp r2
……….. rn to be run on a uniprocessor machine.
Which of the following processor scheduling
algorithms with result in the maximum throughput?
(a) Round-Robin
(b) Shortest-Job-First
(c) Highest-Response-Ratio-Next
(d) First-Come-First-Served
Comparing the time T1 taken for a single instruction
on a pipelined CPU with time T2 taken on a nonpipelined but identical CPU, we can say that.
(a) T1  T2
4
INFOMATHS/MCA/MATHEMATICS
INFOMATHS
8.
(b) automatic allocation and explicit deallocation of
memory
(c) explicit allocation and1 automatic deallocation of
memory
(d) explicit allocation and explicit deallocation of
memory
Assume that linked lists are implemented using the
following declaration.
struct List Node
{
int data ;
ListNode * next;
ListNode (int D, ListNode * N);
};
// struct constructor
ListNode : : ListNode (int D, ListNode * N)
:
data (D),
next (N)
{ } // All fields initialized in initialized list
Consider function InsertDuplicate outlined below.
Void Insertduplicate (ListNode * L)
// precondition : L is not NULL
// postcondition : The fist node in list
L has
//
been duplicated and
inserted
//
after the first
node.
{
< more code >
}
For example,
Before calling InsertDuplicate (L)
L
5.
4.
3
3
7
An eight bit byte is capable of representing how many
different characters?
(a) 64
(b) 128 (c) 256 (d) 512
SECTION – 3 GENERAL AWARENESS
1. Who is the perfume king of India?
(a) Dadi Balsara
(b) Naval Tata
(c) M.F. Hussain
(d) Dadi Seth
2. Which is regarded as London’s oldest Indian
restaurant?
(a) Mary Chutney
(b) Veeraswamy’s
(c) Dum Pukht
(d) Mera Desh
3. What did Thomas Edison describe as ‘the only allround food which the Great Chemist has created?
(a) Milk
(b) Foodgrains
(c) Fruits
(d) Chocolates
4. What is the name of McDonald’s clown mascot?
(a) Ronald
(b) Mack
(c) Goofy
(d) Snoopy
5. N-Joi is a milk and mango drink from
(a) Dabur
(b) Nestle
(c) Parle
(d) Mother Dairy
6. Which computer virus is named after a tennis star?
(a) Kournikova
(b) Lever
(c) Seles
(d) Navratilova
7. Name the person who has been voted the ‘Indian
Businessman of the Century’ (the twentieth) by a
worldwide multimedia poll conducted by Business
Barons.
(a) Ratan Tata
(b) Dhirubhai Ambani
(c) Kumaramangalam Birla
(d) K.K. Birla
8. Which bank was renamed State Bank of India?
(a) Imperial Bank of India
(b) Bank of India
(c) Indian Bank
(d) United Bank of India
9. Bean Stalk is a home computer from
(a) IBM
(b) HCL (c) Compaq (d) Dell
10. Which computer company has consistently featured
Charlie Chaplin in its ads?
(a) Dell
(b) Compaq (c) IBM
(d) HP
11. Sensiflow is the trade mark for a refrigerator concept
from
(a) LG
(b) Samsung
(c) Godrej
(d) Videocon
12. In which city are gold rates fixed?
(a) London
(b) Hong Kong
(c) New York
(d) Dubai
13. In which country were playing cards once used as
currency?
(a) France
(b) Iraq
(c) Canada
(d) Ireland
14. Which Sultan of Delhi was the first to experiment with
square coins?
(a) Alauddin Khilji
(b) Sikander Lodhi
(c) Mohammed Ghori
9
7
3
L
3.
9
Which of the following code segments could be used
to replace < more code > so that Insert duplicate works
as intended?
(a) L = new ListNode (L ->data,NULL);
(b) L = new ListNode (L ->data, L);
(c) L = new ListNode (L ->data, L->next);
(d) L -> next = new ListNode
(L ->data, L ->next);
Modular programming relates to the use of which of
the following:
(a) Data files
(b) Subroutines
(c) Conditional IF statements
(d) Do loops
‘Push’ and ‘Pop’ are appropriate operations for which
data structure?
(a) A linked list
(b) A queque
(c) A stack
(d) A two-dimensional array
5
INFOMATHS/MCA/MATHEMATICS
INFOMATHS
(d) Mohammad bin Tughlaq
15. Which was the first ever Indian company to sponsor as
overseas tournament?
(a) ITC
(b) Wipro
(c) Hero Honda
(d) Tata
16. In the advertisement of which pharmaceutical product
did Vishwanathan Anand feature?
(a) Memory Plus
(b) Amritanjan
(c) Dabur Chawanprash (d) Cinkara
17. Who owns the US-based company ‘First Serve
Entertainment’?
(a) Leander Paes and Mahesh Bhupathi
(b) Kapil Dev and Sunil Gavaskar
(c) Sachin Tendulkar and Vinod Kambli
(d) Amritraj Brothers
18. Benetton is to Italy as Ericsson is to
(a) Germany
(b) the USA
(c) Sweden
(d) the Netherlands
19. Which company calls itself the Document company?
(a) Canon
(b) Xerox
(c) Wipro
(d) HCL
20. With which company would you associated canned
food under the brand Kitchens of India?
(a) Nestle
(b) Hindustan Lever
(c) Haldiram
(d) ITC
5.
Four of the following five groups of letters are alike in
some way while one is different. Find out which one is
different.
(a) ISLOJ
(b) LUOQM
(c) AKDGB
(d) FPILG
6. In a class Smita is 6th from the top and Harsha is 18th
from the bottom. Mangesh is 14 ranks below Smita
and 15 ranks above Harsha. How many students are
there in the class?
(a) 55
(b) 53
(c) 52
(d) Data inadequate
7. In a certain code language the word NUMERICAL is
written as LMUREACN. How will the word
PUBLISHED be written in that language?
(a) DUBSILEHP
(b) DBULISEHP
(c) DUBILSEHP
(d) DBUSILEHP
8. If each alphabet is assigned a sequential numerical
value in terms of odd numbers on the basis of their
position in the English alphabet; viz. A = 1; B = 3; C =
5 and so on. What will be the value of the word
DESK?
(a) 76
(b) 74
(c) 64
(d) 68
9. If every third letter from the following English
alphabet is dropped, which letter will be seventh to the
right of eleventh letter from right?
ABCDEFGHIJKLMNOPQRSTUVWX
YZ
(a) V (b) U (c) K (d) I (e) None of these
Directions (Q. 10-16) : Study the following
information to answer the given questions.
A number arrangement machine when given an input
of numbers, rearranges them following a particular rule in
each step. The following is an illustration of input and steps
of rearrangement.
Input
25
280 345 36
93
147 550
Step I
550 280 345 36
93
147 25
Step II
550 345 280 36
93
147 25
Step III 550 345 280 147 93
36
25
This is the final arrangement and Step III is the last
step for this input.
10. If ‘842 485 68 358 236 123 93’ is the second step of an
input, which of the following steps will be ‘842 485
358 236 123 68 93’?
(a) fourth
(b) fifth
(c) sixth
(d) Can’t be determined
11. How many steps will be required to get the final output
from the following input?
Input : 78 293 585 740 64 132 26
(a) 4 (b) 5 (c) 3 (d) 5 (e) none of these
12. What will be the third step for the following input?
Input : 113 18 8 225 462 175 288
(a) 462 288 48 225 113 175 18
(b) 462 288 225 175 113 48 18
(c) 462 225 288 48 113 175 18
(d) 462 288 225 48 113 175 18
13. If the following is the first step for an input, what will
be the fourth step?
Step I: 498 175 292 96 79 387 158
SECTION – 4 REASONING
Directions (Q. 1-2) : In a code language any letter which is
immediately after or before a vowel in the English alphabet
is substituted by that vowel and any vowel i.e. A, E, I, O and
U is substituted by the letter immediately following that
vowel in the English alphabet.
1. How can the word FEVERISH be written in that code
language?
(a) EDVDRJSI
(b) EFUFRHSI
(c) EFUFRJSI
(d) EDUFRJSI
2. How can the word CONFEDERATION be written in
that code language?
(a) CPOGFEDRBUTPO (b) CPOEFEFRBUJPO
(c) CNOEFEFRBUHNO (d) CONFFDERATION
3. Below are given six three-digit numbers. The digits
comprise of numerics and letters. The letter indicates
its serial order in the English alphabet. What will be
the middle digit of the 4th number when the numbers
are arranged in the descending order after
interchanging numerics in each number without
altering the place of letter in the number?
19F, 2H9, 98B, D76, 7A6, 61E
(a) 8
(b) 9
(c) 6
(d) None of these
4. In the sequence given below the sum of the two digits
which immediately precede the digit ‘4’ exceeds the
sum of the two digits which immediately follow the
digit 4 and sum of the two digits which immediately
follow the digit 6 exceeds the sum of the two digits
which immediately precede the digit 6. How many
such 4’s and 6’s together are there?
544624635642843766483
(a) 4
(b) 6
(c) 3
(d) 5
6
INFOMATHS/MCA/MATHEMATICS
INFOMATHS
(a) 498 387 292 175 158 79 96
(b) 498 387 292 175 96 158 79
(c) 498 387 292 175 158 96 79
(d) 498 387 292 175 79 158 96
14. Following is the step II for an input. What will be the
first step for the input?
Step II: 595 438 28 142 38 65 289
(a) 463 385 294 22 89 142 158
(b) 595 438 142 28 38 65 289
(c) 595 28 142 438 38 65 289
(d) Can’t be determined
15. What will be the second step for the following input?
Input : 158 294 22 89 142 385 463
(a) 463 385 294 22 89 142 158
(b) 463 385 89 22 142 294 158
(c) 463 385 22 89 142 158 294
16. Which of the following is the last step for the
following input?
Input : 145 227 900 49 116 243 356
(a) 900 356 243 227 49 145 116
(b) 900 356 243 227 49 145 116
(c) 900 356 227 243 145 116 49
(d) 900 356 243 227 116 145 49
Directions (Q. 17-22) : A reputed Research Institute
decided to select research assistant applying the following
selection criteria:
The candidate must
(a) Be a post-graduate with minimum 60% marks.
(b) Have a least two research publications.
(c) Have studied statistics as one of the subjects as
graduation.
(d) Have at least one year’s experience in teaching or
research.
(e) Be not less than 25 years and not more than 30
years age as on 16.7.1999.
However, if a candidate fulfils all other conditions
expect:
i) (b) above but has done Ph.D., the case may be
referred to the Chairman of the institute.
ii) (a) above but has secured minimum 50% marks at
post-graduation and has also completed M.Phil, the
case may be referred to the Director.
iii) (d) above but has three years experience of working
in industry, the case may be referred to the
President.
iv) (c) above but has studied Research Methodology at
graduate or post-graduate level, the case may be
referred to the Executive Direction.
Based on the above criteria and the information given
in each of the following cases, you have to take a decision.
You are not to assume anything. In case you find that the
given data in insufficient to make a decision, give ‘data
inadequate’ as you answer. The case are being given to you
as on 16.7.99.
17. Divya Bose is post-graduate having studied Research.
Methedology as one of the papers at post-graduation.
She secured 75% marks at post-graduation. She is
working as a Research Assistant in a private firm since
June 1998 and has got three of her papers published
during her tenure in the firm. Her date of birth is
25.4.72.
(a) Refer to the Director
(b) Refer to the Executive Director
(c) Refer to the Chairman
(d) Not to be selected
(e) None of these
18. Shashidhar, a 27-year old post-graduate in Statistics
with 65% marks, in a working as a lecturer in a degree
college for past two years. Statistics was his main
subject at B.Sc. He is doing M. Phil and plans to do
Ph.D.
(a) Refer to Chairman
(b) Refer to the Executive Director
(c) Refer to the President
(d) Not to be selected
(e) To be selected
19. Shirish Kumar has completed graduation with 67%
marks, having Statistics as main subject. He has also
completed post-graduation with 70% marks. His date
of birth is 19.7.73. He has registered for Ph.D. In 1996
and has four research publications to his credit. He has
been working as a lecturer since 1997.
(a) Refer to the president
(b) Refer to the Chairman
(c) Refer to the Director
(d) To be selected
20. Milind, a post-graduate with 55% marks in Commerce,
has studied Economics and Statistics in graduation as
well as post-graduation. He has also done M.Phil. and
has more than five research paper publication. He is
teaching in the University since January 1997. His date
of birth is 5.9.70.
(a) Refer to the Chairman
(b) Refer to the President
(c) Refer to the Director
(d) Not to be selected
(e) To be selected
21. Whom does the Psychology book belong to?
(a) Neeta
(b) Vishwas
(c) Harish
(d) Data inadequate
(e) None of these
22. Which book is fourth from the bottom?
(a) History
(b) Geography
(c) Economics
(d) Hindi
(e) None of these
Directions : (Q. 23-27) : Below is given a passage
followed by several possible inferences which can be drawn
from the facts stated in the passage which can be drawn
from the facts stated in the passage. You have to examine
each inference separately in the context of the passage and
decide upon its degree of truth or falsity. Mark answer
1) If the inference is “definitely true”, i.e. is properly
follows from the statement of facts given.
2) If the inference is “probably true” though not
“definitely true” in the light of the facts given.
3) If the “data are inadequate”, i.e. from the facts
given you cannot say whether the inference is
likely to be true or false.
7
INFOMATHS/MCA/MATHEMATICS
INFOMATHS
4) If the inference is “probably false” though not
“definitely false” in the light of the facts given.
5) If the inference is “definitely false”, i.e. it cannot
possibly be drawn from the facts given or it
contradicts the given facts.
The Noon Meal Scheme (NMS) is Tamil Nadu has
grown to gigantic proportions today covering students from
pre-school to school children upto 15 years of age. Recent
studies have seen positive impact in nutritional status of the
children due to the Noon Meal Scheme (NMS). Sample
surveys in the high-literacy districts have concluded that
NMS has a definite impacts on school attendance and
dropout rate.
On the employment front, the NMS is claimed as the
single largest employment programme for the rural areas
with more than 1.6 lakh of people, mostly women,
employed as organizers, cooks and helpers.
23. The NMS is applicable to all the children in Tamil
Nadu up to age of 15 years.
24. The NMS is run by only women and children.
25. In the high-literacy districts of Tamil Nadu, school
attendance seems to have improved after introduction
of NMS.
26. The NMS is also being run in big cities and towns of
Tamil Nadu.
27. The food items supplied under NMS are very costeffective.
Directions (Q. 28-32) : In each question below is
given a statement followed by two assumptions numbered I
and II. An assumption is something supposed or taken for
granted. You have to consider the statement and the
following assumptions and decide which of the assumption
is implicit in the statement. Given answer
1) if only assumption I is implicit,
2) if only assumption II is implicit,
3) if either I or II is implicit,
4) if neither I nor II is implicit, and
5) if both I and II are implicit.
28. Statement :
Since the first Five-Year Plan, the
Indian policy-makers have
acknowledged the services rendered
by the voluntary agencies.
Assumptions : I. Voluntary agencies have been in
existence in India even before the
First Five-Year Plan.
II. Voluntary agencies have
contribution in designing of the First
Five-Year Plan.
29. Statement :
As a nation we are committed to
protect and promote the interests of
all those who are socio-economically
vulnerable.
Assumptions : I. It is possible to protect and
promote interests of socioeconomically weak people.
II. A nation should have certain
commitments for its people
30. Statement :
‘This book has been written for
every one and does not require
readers to have any experience in
handling computers’. – An author of
a book on computers.
Assumptions : I. It is possible to learn computers
with the help of a book only.
II. It is possible to learn to handle
computers only after reading the book.
SECTION – 1 MATHS
1
2
3
4
5
A
C
D
D
B
11 12 13 14 15
D
B
B
A
D
21 22 23 24 25
C
C
A
C
D
31 32 33 34 35
D
B
C
B
A
41 42 43 44 45
B
B
A
C
A
51 52 53 54 55
C
D
A
B
A
6
A
16
C
26
A
36
B
46
D
56
A
7
B
17
D
27
C
37
A
47
A
57
C
8
D
18
B
28
A
38
A
48
D
58
C
9
B
19
C
29
B
39
B
49
C
59
B
10
D
20
A
30
B
40
D
50
B
60
B
SECTION – 2 COMPUTERS
1
D
11
2
B
12
3
C
13
4
A
14
5
A
15
6
A
16
7
D
17
8
A
18
9
B
19
10
B
20
D
C
D
A
C
D
B
A
D
A
21
22
23
24
25
26
27
28
29
30
B
D
C
D
C
A
D
B
C
C
SECTION – 3 GENERAL AWARENESS
1
2
3
4
5
6
7
8
A B A A C A B A
11 12 13 14 15 16 17 18
D A C A A A D C
SECTION – 4 REASONING
1
2
3
4
5
C B D A B
11 12 13 14 15
A D C D D
21 22 23 24 25
B C A E A
8
6
C
16
B
26
C
7
D
17
B
27
C
8
B
18
D
28
A
9
10
B
C
19
B
20
D
9
A
19
D
29
E
10
B
20
C
30
D
INFOMATHS/MCA/MATHEMATICS