CTS Model question paper

To download this

1.LIST, L is defined as : L=( a,b,c ) so that,A(L)=a;

B(L)=(b,c) [where a,b,c are theitems ]C(L) & D(L) are

defined as

C(L)= * if L=( )=A(L) if L!=( ) & B(L) = (

)=B(C(4))otherwise

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(

L)=?2vocabulary:

second part is given choose the first part( compound

word type)

(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)

(ans:a)

(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

4.dangled(ansjogged)…….may be4 series .

(1) 2,11,22,121 ,? ans 242 (2)102,211,1020,1210,?7

another type

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

firstoccurrence)P=….Q=……R=……

two questions on some figures given (see

compitionmaster )

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

operation

and find the last digit of the string L4eg:

L1(6,3,4,4,7,2) reduces to

L2(20,1,21)L3(50,7,70,40,50,48)

*********

CTS (PSG TECH)

There are totally 5 sections in the qp and each

section has 8

questions.

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 - lists

M(L1,L2) = L1 + L2

If , L = (a,b,c)

A(L) = a (first term); B(L) = (b,c) (except the first

term)

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

iterations:

1. R(P(L)) where L=(a,b,(a,b),(b,a))

2. R(P(L)) where L=(a,(a),(b,b),b)

Example(1)P(L)=P(a,b,(a,b),(b,a))

where A(L)=(a)

B(L)=(b,(a,b),(b,a))

B(B(L))=((a,b),(b,a))

So, third condition is applicable

So, P(L)=M(a,M(b,P((a,b),(b,a))) find this using the

same rule and

iterate.

SECTION 2

Question and Answers don't know

If GODG is a valid work, then the no. of valid words

in the

string (GGODGG,

GGOGGD, GGOGDGGG, ....)

(* Not aware of correct procedure)

SECTION 3

A 'TARGET' is a number and 'BRICK' has five numbers

as clue.

Use only four

numbers (only once each number) from 'BRICK' using

arithmetic

opertions,

+,-,*,/,() 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)

SECTION 4

There might be question of following kind:

1. C_G_I__NT

ans. cognizant

in answer you have to select the most probable

meaning of cognizant. i.e. knowledgeable.

other ans. are

utopia,

quixotic,

SECTION 5

1. Head of attack (See "a'')

Ans: attribute

2. Head of cuticls

Ans:cutlass

3. Garment leaves with article at end

Ans: cloaka

4. Good tailors does this

Ans: benefit

CTS 98 IIT MADRAS

Analogies

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)

opposite

--------

9.corphlent

ans: emaciated (choice is D)

10. officious

ans: pragmate (choice is D)

11. dextrous

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

processes

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)

(are)

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

act,

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

void.

(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

void as

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

none these

ans:- B

24) if zb must follw za then a)za can only 3rd or

fourth

b) first or second c) can not be third d) fouth or

fifth e)none

ans:- A

25) ze is third term the no of diff operations

possible is

ans:- D (dabad)

26-31) ravi plans six sep-- x,y,z,w,u,v in rows no 1

to 6 ,according to the

follwing conditions

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

ans:- B

27) which is true

a) z before v b) z before x c) w before u d) y before

u

e) x before w

ans:- D

28) if he plans v first which is second

x,y,z,w,u

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

ans:- E

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

ans:- B

31) if he plans w before u and after v he should plan

w at

a) first b)second c)fourth d)fifth e)sixth

ans:- D

32)thursday

33)a&d

34)south hit

35)

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

ans:c(10,8)

38)3x+4y=10

x cube+y cube=6 minimum value of 3x+11y=?

ans=?

39)0.75

40)-

41)sink---7.7kms--->

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

/_a_\ ______

/ \ 3 2 cms area of the d=50 cm square

/___b___\ ______ what is the area of the b=?

/ \ 4 2 cms

/_____c_____\ ______

/ \ 5 2 cms ans=(10.7)

/_______d________\ ______

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

kept together

17,64800,90,58400,3110400

ans:e(3!*5!*6!*3!=3110400)

46)---

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

Rs.90/kg,gives that

the quntities of b&c are equal

a)70,15,15 b)50,25,25 c)60,20,20 d)40,30,30

ans:b

48)water milk problem

49)x+y+z=w

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 (24/28)

e)noneCTS '99

Pondicherry

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

condotions]

AAABBB=

ABABAB=

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

answer becomes

Ans: B A A B B A

//Hint: As per question papers 5 questions above like

but numbers

change.

REMAINING 3 QUESTIONS:

6. To get AAABBD from BBBAAA what ot apply:-

a) 25 b) 34 c)25 & 34 d) none

SECTION II

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

c )

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 ) = ?

SECTION III

Permutations and Combinations 8 questions

1. r = number of flags;

n = number of poles;

Any number of flags can be accommodated on any single

pole.

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.

SECTION IV

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 ? ).

SECTION V

In this section first part of compound word is given.

Select meaning of

the second part from the choice given:

1. Swan

2. Swans

3. Fool

4. Fools

5. Stare

6. Lady

For all above 4 choices are given.....

Eg. Swan

a) category b) music c) --- d) none

Ans: Swansong is compound word. But song is not given

as option. so

b) music is answer.

To download this

To download this

**Click here**1.LIST, L is defined as : L=( a,b,c ) so that,A(L)=a;

B(L)=(b,c) [where a,b,c are theitems ]C(L) & D(L) are

defined as

C(L)= * if L=( )=A(L) if L!=( ) & B(L) = (

)=B(C(4))otherwise

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(

L)=?2vocabulary:

second part is given choose the first part( compound

word type)

(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)

(ans:a)

(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

4.dangled(ansjogged)…….may be4 series .

(1) 2,11,22,121 ,? ans 242 (2)102,211,1020,1210,?7

another type

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

firstoccurrence)P=….Q=……R=……

two questions on some figures given (see

compitionmaster )

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

operation

and find the last digit of the string L4eg:

L1(6,3,4,4,7,2) reduces to

L2(20,1,21)L3(50,7,70,40,50,48)

*********

CTS (PSG TECH)

There are totally 5 sections in the qp and each

section has 8

questions.

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 - lists

M(L1,L2) = L1 + L2

If , L = (a,b,c)

A(L) = a (first term); B(L) = (b,c) (except the first

term)

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

iterations:

1. R(P(L)) where L=(a,b,(a,b),(b,a))

2. R(P(L)) where L=(a,(a),(b,b),b)

Example(1)P(L)=P(a,b,(a,b),(b,a))

where A(L)=(a)

B(L)=(b,(a,b),(b,a))

B(B(L))=((a,b),(b,a))

So, third condition is applicable

So, P(L)=M(a,M(b,P((a,b),(b,a))) find this using the

same rule and

iterate.

SECTION 2

Question and Answers don't know

If GODG is a valid work, then the no. of valid words

in the

string (GGODGG,

GGOGGD, GGOGDGGG, ....)

(* Not aware of correct procedure)

SECTION 3

A 'TARGET' is a number and 'BRICK' has five numbers

as clue.

Use only four

numbers (only once each number) from 'BRICK' using

arithmetic

opertions,

+,-,*,/,() 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)

SECTION 4

There might be question of following kind:

1. C_G_I__NT

ans. cognizant

in answer you have to select the most probable

meaning of cognizant. i.e. knowledgeable.

other ans. are

utopia,

quixotic,

SECTION 5

1. Head of attack (See "a'')

Ans: attribute

2. Head of cuticls

Ans:cutlass

3. Garment leaves with article at end

Ans: cloaka

4. Good tailors does this

Ans: benefit

CTS 98 IIT MADRAS

Analogies

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)

opposite

--------

9.corphlent

ans: emaciated (choice is D)

10. officious

ans: pragmate (choice is D)

11. dextrous

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

processes

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)

(are)

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

act,

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

void.

(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

void as

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

none these

ans:- B

24) if zb must follw za then a)za can only 3rd or

fourth

b) first or second c) can not be third d) fouth or

fifth e)none

ans:- A

25) ze is third term the no of diff operations

possible is

ans:- D (dabad)

26-31) ravi plans six sep-- x,y,z,w,u,v in rows no 1

to 6 ,according to the

follwing conditions

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

ans:- B

27) which is true

a) z before v b) z before x c) w before u d) y before

u

e) x before w

ans:- D

28) if he plans v first which is second

x,y,z,w,u

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

ans:- E

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

ans:- B

31) if he plans w before u and after v he should plan

w at

a) first b)second c)fourth d)fifth e)sixth

ans:- D

32)thursday

33)a&d

34)south hit

35)

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

ans:c(10,8)

38)3x+4y=10

x cube+y cube=6 minimum value of 3x+11y=?

ans=?

39)0.75

40)-

41)sink---7.7kms--->

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

/_a_\ ______

/ \ 3 2 cms area of the d=50 cm square

/___b___\ ______ what is the area of the b=?

/ \ 4 2 cms

/_____c_____\ ______

/ \ 5 2 cms ans=(10.7)

/_______d________\ ______

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

kept together

17,64800,90,58400,3110400

ans:e(3!*5!*6!*3!=3110400)

46)---

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

Rs.90/kg,gives that

the quntities of b&c are equal

a)70,15,15 b)50,25,25 c)60,20,20 d)40,30,30

ans:b

48)water milk problem

49)x+y+z=w

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 (24/28)

e)noneCTS '99

Pondicherry

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

condotions]

AAABBB=

ABABAB=

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

answer becomes

Ans: B A A B B A

//Hint: As per question papers 5 questions above like

but numbers

change.

REMAINING 3 QUESTIONS:

6. To get AAABBD from BBBAAA what ot apply:-

a) 25 b) 34 c)25 & 34 d) none

SECTION II

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

c )

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 ) = ?

SECTION III

Permutations and Combinations 8 questions

1. r = number of flags;

n = number of poles;

Any number of flags can be accommodated on any single

pole.

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.

SECTION IV

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 ? ).

SECTION V

In this section first part of compound word is given.

Select meaning of

the second part from the choice given:

1. Swan

2. Swans

3. Fool

4. Fools

5. Stare

6. Lady

For all above 4 choices are given.....

Eg. Swan

a) category b) music c) --- d) none

Ans: Swansong is compound word. But song is not given

as option. so

b) music is answer.

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