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CTS Placement Paper
1.LIST, L is defined as : L=( a,b,c ) so
B(L)=(b,c) [where a,b,c are theitems ]C(L) & D(L) are
C(L)= * if L=( )=A(L) if L!=( ) & B(L) = (
D(L)= ** if L=( )=A(L) if L=!( ) &
based on these ques. 1 to 8
eg. L(a,(a,b),(b,c)) given then c( L) =? Or D(
second part is given choose the first part( compound
(1) -(head)- (a) purpose (b) man (c)obstacle
(d)(ans:c for blockhead)
(2) (dust)- (a) container(b)celestial body
(c)groom(d)(ans: c for star dust)
(3) (stream )-(a) mountain (b) straight (c) (d)
(4) (crash)- (a) course (b) stock3 anagram
first find the anagram of the given word & then
choose the meaning of the anagram from the options.
1. latter ->rattle 2..spread 3.risque
.may be4 series .
(1) 2,11,22,121 ,? ans 242 (2)102,211,1020,1210,?7
string S=abc now substrings P=ab Q=ad such that
if p->q, then S=adc (according to the
firstoccurance)based on these type
(a) S=abcabc ;P->Q Q->R R->P what would be
theresulting S ,given P=ab, Q=ba R=bc
(b) S=aaabbb; P->Q Q->P R->P (according to the
two questions on some figures given (see
type figure1:figure2::figure3:?three number strings
L1 L2 L3
L1 is reduced to L2 with mathematical operation find
that operation and reduce L3 to L4 with same
and find the last digit of the string L4eg:
L1(6,3,4,4,7,2) reduces to
CTS (PSG TECH)
There are totally 5 sections in the qp and each
section has 8
NO. of questions = 40
Time = 60 min
Negative marking = 0.25 for each wrong answer
SECTION 1(try this at last because it is very tough and time consuming) L1, L2 -
M(L1,L2) = L1 + L2
If , L = (a,b,c)
A(L) = a (first term); B(L) = (b,c) (except the first
I] P(L) = L if L=( ), & B(L)=()
P(L) = A(B(L)) if L <> ( ), and B(L)<>( ) B(B(L))=( )
P(L) = M(A(L)), M(A(B(L)), P(B(B(L))) if B(B(L) <>C)
II] R(L) = L : B(L)=( )
R(L) = A(L) if L<>()
R(L) = M(dont know), R(B(B(L)))if B(B(L)) <>( )
With the above instructions, find the following using
1. R(P(L)) where L=(a,b,(a,b),(b,a))
2. R(P(L)) where L=(a,(a),(b,b),b)
So, third condition is applicable
So, P(L)=M(a,M(b,P((a,b),(b,a))) find this using the
same rule and
Question and Answers don't know
If GODG is a valid work, then the no. of valid words
GGOGGD, GGOGDGGG, ....)
(* Not aware of correct procedure)
A 'TARGET' is a number and 'BRICK' has five numbers
Use only four
numbers (only once each number) from 'BRICK' using
+,-,*,/,() and attain the 'TARGET'
1. TARGET = 114 BRICK =
2. TARGET = 19 BRICK = 8,11,5,5,2
3. TARGET = 87 BRICK =
4. TARGET = 146 BRICK =
5. TARGET= 127 BRICK =
Ans: for 2 questions
19 = (8+11-5+5)
so ans = (8,11,5,5)
There might be question of following kind:
in answer you have to select the most probable
meaning of cognizant. i.e. knowledgeable.
other ans. are
1. Head of attack (See "a'')
2. Head of cuticls
3. Garment leaves with article at end
4. Good tailors does this
CTS 98 IIT MADRAS
1. slur : speech
ans: smulge : writing (choice is B)
7. cpahlet : shoulder
ans: ring : finger (choice is C)
8. vernanlar : place
ans: finger print : identical (choice is B)
ans: emaciated (choice is D)
ans: pragmate (choice is D)
ans: clumsy (choice is B)
12 -14: each sentense is broke to four sections
a,b,c,d.choose which has
mistake mark (e) if you find no mistake.
12:a)phylchologists pointout that b)there are human
c)which does not involve d) the use of words
(choice is A)
13:a)jack ordered for b)two plates of chicken c)and a
glass d)of water
(choice is A)
14:a) politics is b) (choice is A)
16 - 20: each question of group of questions is based
on a passage or a set
of conditions for each question,select the best
answer choice given.
(i).if it is fobidden by law if the object of
agreement is the doing of an
that is forbidden by law the agreement is void.
(ii). if it is of the nature that,it would defeat the
provision of any law
is the agreement is void.if the object of agreement
is such that thing got
directly forbidden by law it would defeat the
provision of statuary law.
(iii). if the object of agreement is fraddulent it is
(iv). an object of agreement is void if it involves
or implies to the
personnal property of another.
(v). an object of agreement is void where the
constant regards as ignored.
(vi). an object of agreement is void where the
constant regards is as opposed
to public policy.
17. A,B,C enter an agreement for the division a many
them of gains acqest
or by be acquit by them by them by the argument is
ans: ---- (choice is D)
21-25) An algorithem follws a six step process
za,zb,zc,zd,ze,zf, it is
governed by follwing
(i) zd should follw ze
(ii) the first may be za,zd or zf
(iii) zb and zc have to be performed after zd
(iv) zc must be immediately after zb
21) ans:- D
22) if za the first set zd must be
a) 3rd b)5th c)2nd d)4th ans:- A or D (probably a)
23) zf can be 3rd or 5th------any of the six, first,
second or forth only,
any of first four only
24) if zb must follw za then a)za can only 3rd or
b) first or second c) can not be third d) fouth or
25) ze is third term the no of diff operations
ans:- D (dabad)
26-31) ravi plans six sep-- x,y,z,w,u,v in rows no 1
to 6 ,according to the
he must plant x before y and u
he must plant y " w
the 3rd has to be z
26) which could be in order
a) xuywzv b) xvzyuw c)zuyxwv d)zvxuwy e) wyzuvx
27) which is true
a) z before v b) z before x c) w before u d) y before
e) x before w
2 if he plans v first which is second
so ans is 'x'.
choice is A.
29) which is true
a) x,3 b)y,6 c)z,1 d)w,2 e)u,6
30) if he plans b 6th which would be first and second
a) x and w b) x and y c)y and x d)w and z e) w and u
31) if he plans w before u and after v he should plan
a) first b)second c)fourth d)fifth e)sixth
36)at a certain moment a watch showes 2 min lag
althogh it is fast.if it
showed a 3 min lag at that moment ,but gain 1/2 min
more a day than it does.
it would show the true time one day sooner than it
usually does .how many
mins does the watch gain per day.
a).2 b).5 c).6 d).4 e).75
ans : e
---->(discount problem) 20%->15%then->32% (ans:32%)
37)in 400m race a gives b a start of 7 sec & beats by
24m.in another race
a beats by 10 sec.the speeds are
a)8,7 b)7,6 c)10,8 d)6,8 e)12,10
x cube+y cube=6 minimum value of 3x+11y=?
fills 2 1/4 t is 5.5 min. 92 tonnes enough.. sink
throws out 18 tonnes/hr.
avg. speed to
a)1.86 b)8.57 c)9.4 d)11.3 e)10.7
42) . ______
/ \ 2 2 cms
/ \ 3 2 cms area of the d=50 cm square
/___b___\ ______ what is the area of the b=?
/ \ 4 2 cms
/ \ 5 2 cms ans=(10.7)
43)600 tennis players
4% ->wrist band on one wrist
of remain 96%->25%->on both hands
remain no of ---(ans:312)
44)312(doubt) or 432
45)in how many ways 5e,6s,3f be arranged if books of
each language are to be
47)three types of the a,b,c costs Rs.
95/kg,100/kg&70/kg .how many kg of
each be blended to produce 100 kg of mixture worth
the quntities of b&c are equal
a)70,15,15 b)50,25,25 c)60,20,20 d)40,30,30
48)water milk problem
q)two distinct no's are taken from 1,2,3,4......28
a)probably that the no is 6 -->1/14
b)probably that it exceeds 14 -->1/28
c)both exceed 5 is 3/28
d)less than 13->25/28 (24/2
SECTION I - 8 questions Series.
1. Interchange of letters in a word and the adjacent
letters are also to
be changed. given letters series like [also few
LET QUESTION IS ABBAAB
If we apply 25 on this it means we have to
interchange the letters
at positions 2 and 5, and we have to change the
adjacent letters 2 and 5
from A to B and B to A.
That is q's A B B A A B
after Step 1 i.e interchange 2 and 5.
now change adjacent elements of 2 and 5...finally
Ans: B A A B B A
//Hint: As per question papers 5 questions above like
REMAINING 3 QUESTIONS:
6. To get AAABBD from BBBAAA what ot apply:-
a) 25 b) 34 c)25 & 34 d) none
1. Given the function f(n a b c ) = ac if n=1
f(n a b c) = f( n-1 a b c) + f( 1 a b c) + f( n-1 b a
if n > 1
f( 2) = ?
Ans: f( 2 a c b ) = ab + ac + bc.
2. similar question in functions.
3. [ based on function in 1.] f( 4 a b c ) the number
of terms is...?
Ans: f( 4 a b c ) = f( 3 a c b ) + f( 1 a b c ) + f(
3 b a c ) etc.
= 5ab + 5ac + 5bc.
4. f( 5 a b c ) = ?
Permutations and Combinations 8 questions
1. r = number of flags;
n = number of poles;
Any number of flags can be accommodated on any single
i) r=5,n=5 The no. of ways the flags can be arranged
ii) to iv) are based on this.
6. r= 5 n = 3 . If first pole has 2 flags ,third pole
has 1 flag
how many ways the remaining can be arranged?
7.& 8. same as above.
Question consising of figures consist of 4 small
squares and every square
having an arrow pointing in one Direction.
GRE test of reasoning.
hint: What is the next sequence if we tilt the figure
by 90 degrees like
that( clockwise and mirror images ? ).
In this section first part of compound word is given.
Select meaning of
the second part from the choice given:
For all above 4 choices are given.....
a) category b) music c) --- d) none
Ans: Swansong is compound word. But song is not given
as option. so
b) music is answer.
Edited by rakesh_vyom - 23Jul2006 at 11:18pm
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