CTS Sample Test Paper#2
This is only a sample paper. We are not providing you with all the questions - just
some questions to give you a general idea of the test pattern.
SECTION I - 8 questions based on series.
1. These questions involve interchange of letters in a word at particular locations and also
interchanging letters adjacent to those particular locations.Certain other conditions may
also be given
For eg.
Let the word be ABBAABA
If we apply 25 on this, it means we have to interchange the letters at positions 2 and 5,
also we have to change the letters adjacent to positions 2 and 5 i.e.from A to B and B to
A.
A B B A A B after Step 1 i.e interchange of 2 and 5 becomes AABABB
Now change adjacent elements of 2 and 5...finally answer becomes
Ans: B A A B B A
Questions 1-5 are based on the pattern with changed numbers as described above
Questions 6-8 are of the following type
To get AAABBD from BBBAAA what number should be applied:-
a) 25
b) 34
c) 25 & 34
d) none
SECTION II
1. Given the following functions
(1) f(n a b c ) = ac if n=1
(2) f(n a b c) = f( n-1 a c b) + f( 1 a b c) + f( n-1 b a c ) if n > 1
Then what is the value f( 2 a b c ) = ?
Ans: f( 2 a c b ) = ab + ac + bc.
2. Similar question on functions.
3. [ Based on the function in the first question] For the function f( 4 a b c ) the number of
terms is...?
Hint f( 4 a b c ) = f( 3 a c b ) + f( 1 a b c ) + f( 3 b a c ) etc.
4. What is the value of the function 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.
1) r=5,n=5 The no. of ways the flags can be arranged ?
Questions 2-5 are based on the above pattern
6. r = 5 n = 3 . If first pole has 2 flags, third pole has 1 flag
How many ways can the remaining be arranged?
Questions 7.& 8. are similar to Question 6.
SECTION IV
Question consisting of figures - Pattern-matching type.
Refer R.S Agarwal's book on Analytical Reasoning & TMHs Quantitative ability book by
Edgar Thorpe.
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 ---> Swansong (compound word)
a) category b) music c) television d) none
Ans: Swansong is compound word. But song is not given as an option. so (b) music is the
answer.
Set I
Aptitude Questions
1. A person losses and gains 10% on selling a object for 200.
Ans: he losses
2. Sum of 1 to 100 is divisible by 1. 1,2,4,8 2. 2 & 4 3. 2 4 none
Ans: 2
3. How many nos start and end with 2 b/w 100 and 300?
4. If a sphere of dia 3 cm is melted & formed into 3 spheres , the diameter of 1st is 1.5cm and
that of second is 2.0 cm ,
what is the diameter of the third?
5. If prizes are increased by 25% , by how much should i reduce the consumption to keep the
expenditure same??
6. "COURTESY" - how many words can be constructed with C in the begining and Y at the end
7. My mother's husband's father in laws son's child->what is the relation?
8.. 3 glasses containing mixture of water and alco in ratio 2:3 , 3:4 , 5:9 when all 3 are mixed
what is the new ratio??
9. A father has 8 children ,he takes 3 at a time to a zoo.probability of a child going to the zoo.
10. A ball is dropped from a height of 10 feet.Every time it rebounces to half of the height.
how many feet it travelled?
11. There are 3 jars. The ratio of spirit to water in each of these jars is 3:2,4:5,5:7. the three
jars are mixed into a single jar.
What is the ration of spirit to water in single jar.
12.. What is the relation with your mothr's sister's brother's wife's child with you.?
13. A father has six children .all the children are born at regular intervels.if the sum of their
ages of
all the children and father is 186. calculate the age of the elder son, when the younger sons
age is 3.
14. logical reasoning :
All elephants are trained a few animals are trained
1. What is the 7th digit of (202)3?
2. To type the digits from 1-1000 how many key strokes are needed?
3. A problem on the margin of votes involving winning percentage between two candidates.
4. Time & Distance- A is running faster than B by ….. kms. How much increase of speed is
needed by B to become first?
5. Problem on three pipes- two of them loading water into a tank the other one emptying,
what time will it take to fill the tank? (2 problems)
6. Four horses are tied up by rope on four corners of a square grass field. What would be the
ungrazed area by them?
7. If a person gets A% profit on cost price A. Determine the cost price? Four alternatives were
given --Ans. 40. As the thing was sold at 56/cost price--40.
8. Determine the angle between the hour & minute hand when the time is 40 past 3.
9. There is a Square. One Circle which is touching all the arms of the square is inscribed in it.
Another smaller square which ahs all corners touching the circle is inscribed inside the circle.
Obtain the ratio of the area of the two squares.
10. In a zoo there are animals & birds. No of heads are ………, No of legs …..., obtain the
number of birds & animals.
11. Simple aptitude type problems on probability. (2 problems)
12. Problems on percentage.
13.The C’ program was on simple binary tree.
GD Topic
1. Westernization of INDIA-- right or wrong
2. IT boom in INDIA—blessing or curse.
1. we have to count the 3 letter,4letter and 5letter words from a file and print the number of 3
letter,4letter and 5letter words. Delimiter is space, tab, hifen. Also we should not consider the
line in the file after we encounter # in that line. (ie after # we should not consider the portion
of line)
2. In file count the number of characters, number of words, number of line. Delimiter between
words is given as command line argument.
1hour 15 min is given for the test. we have to answer both aptitude and program with in this
time.
Some of the aptitude questions.
1. the is a meeting organized, every person shake hands with the other only once. if there are
60 shake hands, how many persons are there in the meeting?.
2.A faster has 8 children ,he takes 3 at a time to a zoo. probability of a child going to the zoo.
3. a father has six children .all the children are born at regular intervels. if the sum of their
ages of all the children and father is 186. calculate the age of the elder son, when the younger
sons age is 3.
4.count the numbers between 100 and 300, that starts with 2 and ends with 2. Ans: 10.
Some reasoning questions
1. there are six steps,5 people a,b,c,d,e . conditions are , a is two steps below c,no two people
are on same step,b is next to d. 4 Questions based on this.
2. 5 people participating in the race .conditions are given about the positions.
3.a ball is dropped from a height of 10 feet. Every time it rebounces to half of the height. how
many feet it traveled?
4.There are 3 jars. The ratio of spirit to water in each of these jars is 3:2,4:5,5:7. the three
jars are mixed into a single jar. What is the ration of spirit to water in single jar.
5. What is the relation with your mothr's sister's brother's wife's child with you.?
6.what is the relation with your mother's husband's father-in-law's son's child with you?
7.we were asked to fill the series, alphabet series 4 questions are given.
8. 5 questions are given, we are asked to find the logical connection between them. like all
managers are drinkers, all drinker are smokers ,questions like this.
Simple Mathematics:
1. A triangle on a grid was given : find the area of it.
Ans : 2
2. out of the four options which is not a right angle .
Ans :D (12,9,16)
3.In a class of 100 members 50 plays soccer 45 badminton 50 volley ball and 15 plays all the
three then how many of them play two games.
Ans: can't be determined (D) verify
4.In a class the no. of boys are more than that of girls by 25% of the total strength of the
class then the ratio of boys to girls.
Ans: (5:3)(d)
5. the radius of the circle is reduced from 5cm to 4cm then the % change of area .
Ans: 36%
6.two workers can type two pages in two minuets then how many persons can type 18 pages
in 6 minuets
Ans: 6
7.if p+q+r=0 then p^2/qr+q^2/pr+r^2/pq=? (ans:3)(d)
8.the sum of 7 consecutive numbers is 1617 then the number of prime numbers in it.(ans:2)
9.in a nock out tournament the total no. of games played are 63 then the no. of participants
Ans: 64
10. fresh mango consists of 70% water and dry mango consists of 10% water then 20Kg of
fresh mango is equivalent to how much of dry mango
Ans: 6.66 kg
11.the no. of 3 digit numbers which when divide by 7 or 8 gives a reminder of 4
a) 16 b) 17 c) 18 d) 19
Set II
1)A man sold a product for rs.56 and gained x% .Its original cost is rs. x ,what is the cost?
2)2power 300,3 power200 which is greater?
3)how many zeros are there from 1 to 10000
4)if a and b do a job together in 6 daysb and c together in 10 days a and c together in 7.5
days then: no of days when
i) a,b,c together
ii) if a alone does the job.
5)there are 12 yes/no types of questions ,in how many ways can they be answered?
6)find odd one out of 125,8 power 3,521,729
7) One got 20 % marks and failed by 10 marks, other got 42% marks and got 12 % more
than the passing requirement What is the maximum marks?
8) --,32,224,…
9)Rs 50000 is divided into two parts One part is given to a person with 10% interest and
another part is given to a person with 20 % interest. At the end of first year he gets profit
7000 Find money given by 10%?
10)Time shown by a watch is 2.20 Find the angle between them
11) Avg cost of 5apples+4 mangoes=rs.36 Avg cost of 7 apples + 8 mangoes=rs.48 Find total
cost of 24 mangoes and 24 apples
12)Management : How ways it can be arranged without 2 a’s as continuous
GD TOPICs
1)Working in MNCs (+ve and –ve)
2)Working with Spouse in the same company (+ve and -ve)
1. An expression was given like B + A .B + !A .B + . . . . . and what will be the
final expression o/p :- ( Easy )
2. state diagram was given and what state will be detected ?
3. Counter and three states were given( 13 , 15 , 14 , 10 ) what will be the next value ?
ans. 11 – Gray counter
4. For one circuit inputs are ABCD and output is zero for first eight inputs and 1 for nexteight .
What will be the expression for circuit ? ( ans :- A)
5. What is octal representation of 01010101 ? ( ans. 125 )
6. D flip-flop with inverted feedback was given and question was based on maximumfrequency
allowed ( setup , hold etc. times were given )
7. Question based on instruction T states and CPI was asked .
8. What happens when HALT instruction is executed? ( Enter wait state and waits forinterrupt
or reset , Enters in to sleep state , etc. ( ans. Waits for interrupt or reset )
9. What happens when PUSH instruction is executed : ( content of accumulator is
saved,content of PC is changed , stack pointer is decremented and value value is saved )
10. Two bulbs of 40 Watt and 60 Watts were added in series . What will happen ? ( 40
watt will be brighter , 60 watts will be brighter , both will have same brightness , none ) ( Ans.
40 watt)
11. If widths of all PMOS an NMOS are doubled in any circuit then what will be effect onnoise
margin ? ( ans. No effect)
12. If gate and one end of NMOS are connected to Vdd , what will be the output at second end
of NMOS ? ( Vdd- Vth – NMOS are bad 1 ‘s)
13. a band limited signal is sampled at Nyquist rate , to reconstruct it the output will begiven
to : ( RC filter , Envelope detector , LPF with -- )
14. What is expression for Noise figure ?
15. always @ ( B or C) if( B) D=C Circuit will work as ( Mux, Tri state buffer , Latch , None ) (
Ans. --- Tri state Buffer)
1. A man crosses a circle of perimeter 35 m in 44 sec and he runs a hexagon of 42 m side. In
how many second he finishes the complete perimeter of the hexagon.
2. A+b do a work in 6 days. A+c do the work in 10 days, c+a in 7.5 days. How many days will
it take for a+b+c to do the work and also find the number of days required by a alone.
3. Totally there are 12 yes or no questions. In how many different ways can he attend?
4. Complete the series 7 49 56 392………….
5. Complete the series 36 252 63 441 110.25..
6. Find the odd one out: 8 125 512 729?
7. Number of zeros between 0 and 10000
8. A regular hexagon is inscribed in a circle. What is the perimeter of the hexagon in relation
with the radius of the circle?
9. A circular path has a perimeter of 120m.a, b,c travel at 5 7 15m/s respectively. They start
simultaneously. At what time do they meet next?
10. Totally there are 12 pipes. Some pipes fill the tank and some empties the tank (data will
be given). If all the pipes are opened simultaneously when will the tank be filled?
11. Which is greater 2^300 or 3^200?
12. Average age of 24 students is 36. When the age of teacher is added the average age is
increased by 1 year. What is the age of the teacher?
13. Water and milk are mixed in the ratio 2:1,5:3 and 9:4.when all the mixtures of equal
volume are mixed together what is the ratio water and milk in the resulting solution.
14. Average rate of five orange and four apples is 12 and 7 orange and 8 apples are 86. Find
the total rate of 24 orange and 24 apples.
15. In how many ways the letters in the word MANAGEMENT can be arranged such that A’s
does not come together.
16. A give B a start of 20 sec and leads by 20m. When he starts off 25 sec he finishes at the
same time. What is the speed of A. (wordings not sure).
17. An array of integer is given. Write a pseudo code to find the sub array with the largest
sum.
18. A string is given. Write an algorithm to implement the backspace from the end of the
string. The string contains 1 byte and 2-byte character. For 1 byte char first bit is 0 and for 2
byte char first bit is 1.
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