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CTS Placement Paper
Diameter of circle is d, Find length of string.(outer string that covers the
circle)
Ans: d (pi + 3)
2) Diamond\�s
value is proportional to its weight2 .When the diamond broke wts of pieces in
ratio 1:2:3;4:5.
Total loss in value is 85,000.What is the value of the diamond twice the wt of
the original diamond.
Ans : 45,000
3)Person X join a job at 20 yrs.First 3 years sal =10,000 p.a. Afterwards every
year inc of 2,000 per year for 10 year. Then sal become const till retirement.
at retirement avg sal is 25,000. ( thro�out career) what age he retires.?
4)In an island there r tribals who speak lang of atmost 4 words.Lang consists of
4 alphabets.How many words can be formed in that language? Ans 340
5) It was found that the cause for the malaria
was the swamp marsh and so r swamps were drained .Mosquito the real cause for
malaria due to lack of breeding grounds (Swamps) also was wiped out. What does
this illustrate?
(Ans : (Possible) when many conditions form a result eradication of one cause
also eradicates the result)
6)An officer kept files on his table at various times in the order 1,2,3,4,5,6
.Typist can take file from top whenever she has time and type it.What order she
cann�t type.?
(Ans : 4,5,6,2,3,1)
7)A and B r fighting .B fires 3 times as many missiles as A. Total hits: total
misses = 1/7 .B�s misses 357.B�s hits � A�s hits = 66.A�s hits?
8)40 shots taken.50p for a hit.10p for a miss.(he have to give).Finally he has
Rs.5.How many hits.? Ans 15
9)Find avg of a,b,c,d,e .Given data : avg of any 4 num =avg of any 3 num 2)(a+b)�
= 36
Which of the abv are sufficient?
10)What is the difference in times btwn clk 1 & clk2.
1) both show same time 6 hrs back 2 ) 1 clk gains 1 min an hr,clk2 gains 2 min
an hour.
Like abv�.
11)A takes 9 strides to B�s 7 strides. A stride = 1meter.B stride =1.2m B gets
the start of 24m.What dist should A travel to overtake B?
12) Tortoise gets 100 m head start. Hare is 10 times faster as tort. What is the
dist traveled by hare to catch up tort.?
13)4 weights r weighed in pairs. Weights of pairs are determined as
103,105,106,106,107,109 What is the min wt?
Ans 51
14) Constant cost = 300
and 1.75 / copy. How many copies should he sell at 7.75 /copy to make a profit.
15)
Find the perimeter ? ANs 28
16) 20 members avg =10.5. 3 memb of 11.5,12.5,13.5 left and 3 memb of
10.5,12.5,14.5 joind along with a teacher of 21 yr.Now avg = �.Ans 11.17)
Find the area of shaded. Radius of circle = 1cm�..Arcs r drawn with center at
circumference.
1
Find the area of the shaded portion?
19) Solid cube of 6 * 6 * 6. This cube is cut into to 216 small cubes.(1 * 1 *
1).the big cube is painted in all its faces. Then how many of cubes are painted
at least 2 sides. (Ans 56)
20) A Bacteria is doubling at every 4 min. After 40 min 1024 bact. Then 256
when>�..? Ans : 32 min
21) A bag contains 3 balls of 11 different colors each. Find the min no of
chances to find at least 3 balls of same color?
Ans : 23
22) If x� < 4 then 100/x is�.? Ans : 100/x > 50 & 100/x < 50.
23) If [x] is the int less than x and x is the abs val of x.Then max of
[x]/x is Ans d)none
24) A work in 12 days b in 15 days. Find the no of days if they work on
alternate days. Ans 13 �
25) A,B,C r positive int.Out of them 2 r odd. Then 5�a + ( b5)3 (c3)� = ?
Ans : always odd.
26) A squarer side is 5cm.If a square of side 10cm is hinged @ the center of the
prev square. when they r rotated common area to both squares (Ans : Does not
change)
27) 3p� + pq + 5q� is even. If
a) If p is odd, q is odd
b) If p is even, q is odd
c) If p is odd ,p is even
d) Atleast one of p and q is odd.
Choices are given. Ans : 4) None of these
2 A lady has to feed a dog for the one week from Monday to Sunday .She has food
types M,N,O,P,Q,R,S .
MNOP protein enriched RS  vitamin enriched. Vitamin enriched
cannot be fed on consecutive days.
Conditions given : M should be fed before S.
M should be fed before Q.
R Should be fed before S.
Before N and Q there should be four types.
Based on this 3 ?s are asked.All r easy to answer�
29) A man bought at the cost of 5 plums a rupee and 2 oranges a rupee.He sells
10 plums and 6 oranges at the selling price of 4 plums a rupee and 3 oranges a
rupee.What is his gain or loss? Ans loss of 50p.
30) Out of 32 books the cost of 10 books is Rs. 50 each and he got a profit of
4%. He sells 15 books at a profit of 3.8461% on the selling price of Rs 70. The
remaining cost is 576. The remaining books are sold at Rs 74. What is his total
profit.
31) Two solutions have milk & water in the ratio 7:5 and 6:11.Find the
proportion in which these two solutions should
Be mixed so that the resulting solution has 1 part milk and 2 parts water?
a)35:3 b)21:36 c)not possible Ans :c
Further qs are from reading
comprehension.(verbal reasoning) All are easy to answer if u
read carefully.
We are not able to get the remaining questions.
All the best nitians
CTS Apti Question paper (Colour: Yellow)
There are other three colours also. We received only yellow Question papers.
1. If all the 6 are replaced by 9, then the algebraic sum of all the numbers
from 1 to 100(both inclusive) varies by Ans: 330
2. The total no. of numbers that are divisible by 2 or 3 between 100 and
200(both inclusive) are Ans:67
3. From a pack of cards Jack, Queen, King & ace are removed. Then the
algebraic sum of rest of the cards is Ans:216
4. The average temperature of days from Monday to Wednesday is 37 degree Celsius
and that of from Tuesday to Thursday is 34 degrees. The temperature of Thursday
is 4/5th of Monday. Then the temperature of Thursday is
Ans: 36 degrees
5. Swetha, Tina, Uma and Vidya are playing a gambling. In this different people
lose in different gamesin the reverse alphabetical order. The rule is that if
one loses she should double the amount of others. At the end of 4th game each of
them have same amount of money (Rs.32). Which one of them started with the least
amount? (6) Which one of them started with the largest amount of money? (7.) At
the end of the 2nd game what is the amount of money with uma?
Ans: Vidya, Swetha, Rs.8
8. A cube of 12 mm is painted on all its side. If it is made up of small cubes
of size 3mm. If the big cube is splitted into those small cubes, the number of
cubes that remain unpainted is Ans: 8
9. B is 50% faster than A. If A starts at 9 A.M. and B starts at 10 A.M. A
travels at a speed of 50 km/hr. If A and B are 300 kms apart, The time when they
meet when they travel in opposite direction is Ans:12 noon
10. A graph will be there. Inside the graph sheet there will be a Quadrilateral.
We have to count the number of squares in the Quadrilateral.
11. You are having 31kg of rice. You are provided with a 1kg stone for weighing.
In how many weights the 31kg of rice can be weighed. Ans: 5
12. A starts at 11:00AM and travels at a speed of 4km/hr. B starts at 1:00PM and
travels at 1km/hr for the first 1hr and 2km/hr for the next hr and so on. At
what time they will meet each other. Ans:
13. There are 80 coins, among them one coin weighs less compared to other. You
are given a physical balance to weigh. In how many wieghings the odd coin can be
found. Ans:
14. Dia of the circle 4cm. The shaded part is 1/3 of the square area. What is
the side of the square. Ans: root of 3pi
15. A,B,C, can do a work in 8,14,16 days respectively. A does the work for 2
days. B continues from it and finishes till 25% of the remaining work. C
finishes the remaining work. How many days would have taken to complete the work
Ans:
16. Raja went to a beauty contest .his wife was eager to know the result he told
that the lady wear a yellow sari was winner. Miss. Andhra Pradesh Miss. Utter
Pradesh, Miss. Maharashtra, Miss. West Bengal were the participants all the
participants sat in a row. The conditions are (A) The woman wore yellow sari won
the competition. (B) Miss. West Bengal was neither the runnerup or winner.(C)
Miss. West Bengal was not at either ends.(D) Miss. Maharastra wore the white
sari.(E) The women wore white sari and yellow sari sat at extreme ends.(F) The
runnerup and winner did not sit together. [This was the passage given and the
questions were easy]
17. The ratio of white balls and black balls is 1:2. If 9 gray balls is added it
becomes 2:4:3. Then what is number of black balls. Ans:12
18. There are 10 coins. 6 coins showing head. And 4 showing tail. Each coin was
randomly flipped (not tossed) seven times successively.after flipping the coins
are 5 heads 4 tails one is hided the hided coin will have what.
19. Two cars are 500 cm apart. each is moving forward for 100 cm at a velocity
of 50 cm/s and receding back for 50 cm at 25 cm/s at what time they will collide
with each other.
20. People near the sea shore are leading a healthy life as they eat fish.but
people at other part of the city are also healthy. Inference.
21. It is found from research that if u r a drunken then u have a less chance
for chronic heart diseases. Inference.
22. AB+c>A+BC i) B is +ve, ii) B is �ve when it will hold true.
23. i) C.P is Rs 120 and profit is 30%
ii) C.P is Rs 210 and profit is 20%
we can find the S.P by using
i)only ii)only both i &ii neither i&ii
24. How will u find distance between Nagpur and Mumbai?
I took one hour more when I travel at 80 km/hr than at 90 km/hr.
25. 100 coins were collected by four persons each collected more than 10 each
collected a different number each was an even number find what is the max
possible no of coins, two more questions based on the same passage.
26. A car travels from B at a speed of 20 km/hr. The bus travel starts from A at
a time of 6 A.M. There is a bus for every half an hour interval. The car starts
at 12 noon. Each bus travels at a speed of 25 km/hr. Distance between A and B is
100 km. During its journey , The number of buses that the car encounter is
27. The ratio of the ages of the father and the son is 5:3, After 10 years it
will be in the ratio 3:2. What will be their ages.
28. There was a Island. In that Island there was Rubys and Emeralds. Those were
available in plenty. 0.3 kg of ruby is 4 lakhs and 0.4 kg of emeralds is 5 lakhs.
Jayanth is buying 12 kg of Ruby and emerald. Choices will be given . Jayanth has
to carry both ruby and emerald to the maximum profit.
29. Varun buys 8 books,10 pens and 2 pencils and Babu buys 6 books, 5pens and 5
pencils. Babu pays 50% more than Varun. What is the amount Varun spends in
buying pencils.
30. Prakash and Revathi rent a fancy shop. Prakash imposes the following
restrictions on Revathi for buying clips,stickers and lip sticks. The number of
clips is twice the no. of stickers. The no. of lipsticks should be more than the
sum of clips and stickers. Cost of clip is 1 rupee. Cost of lipstick is twice
the clips. Cost of 1 lipstick is the cost of four stickers. Then What is the
amount that Prakash spents for Revathi. Answer choices will be given.
1.Train A starts from station A at 11.am.Train B starts from station B at 12
noon.the speed of train A is 4 kmph,train B is 1 kmph for the first hour,2 kmph
for the 2nd hour,3 kmph for the 3rd hour etc.At what time do the two trains
meet? ans:2 PM
2.There is a coin collection.100 coins in all.4 peopke collect coins.Each
collects a minimum of 10 coins.and each has different number of coins.the
numbers are even. (4 questions based on this)
3.Moped problem based on time and distance
4.Find the number of integers divisible by either 3 and 12 from 1 to 999.
5.Find the number of integers divisible by either 3 or 2 from 100 to 200
including both,
6.There is a cube of side 4 cm.The faces are coloured in red.the cube is cut
into pieces of size 1 cm.How many cubes have no colour Ans:8
7.There are 80 coins.One coin is counterfeit in weight.How many minimum
weighings are required to find out the counterfeit coin? Ans 4
8.There are 31 kgs of rice .With a 1 kg weight,Find out the minimum number of
weighings required to weigh 31 kgs.
9.there are four contestants in a beauty contest.they aer Ms.UP,Ms. MP,
Ms.AP and Ms.WB.each is wearing a different colour saree(red,blue,green and
white).They are seated in a row.The winner and runner are not sitting near each
other.Ms.WB is noehter the winner nor the runner.the green and white saree
contestans are sitting in either end and the green color saree contestant is the
runner up.
4 questions based on this
10.there is a pack of cards.Find the sum of integers excluding all the picture
cards. Ans.216
11.Two questions based on figure. Given at the end.
12.There are 2 cars moving in opposite directions.the distance between them is
300cm.They move forward for 100cm with a speed of 50 cm/s,and omes back 50 cms
at 25cm/s.after how many seconds will the cars collide?
13) There is a room with 12 slots for painting. The details about the paintings
are as follows:
18th century paintings  3
19th century paintings  2
20th century paintings  4
Make up a sequence so that the paintings may be arranged with the following
rules.
1) The 5th slot is always empty.
2) There must be an empty slot between paintings of different groups (century).
3) The paintings of the same group can be placed together.
A set of questions were asked with the pattern that was framed.
14)
Find the area of the square which is covered by the circle.
The area is 1/3 area of the square. Find the side of the square.
15)
Find the number of squares.
CTS GCT 28 MAY 2003
CSE AND ECE TOTAL SHORTLISTED24+26
This is the CTS paper that was given to GCT. This is the only college they went
in Coimbatore. Then there were three papers pink, violet, and yellow. The paper
they gave here was pink. The criterion was above 6.5 with no current arrears.
They also saw the 10th and 12th marks along with the entrance marks. They opened
only for cse and ece. I cud collect some of the questions. It doesn�t hav the
full paper. Actually the test is for an hour. There was quans, annals, reading
comprehension, logical reasoning. The problems were more of R.S Agarwal. The
others were just like in GRE.
1. Using the digits 1,5,2,8 four digit numbers are formed and the sum of all
possible such numbers.
ans:106656
2. Four persons can cross a bridge in 3,7,13,17 minutes. Only two can cross at a
time. find the minimum time taken by the four to cross the bridge.
ans:20
3. Find the product of the prime numbers between 120
ans..9699690
4. 2,3,6,7 using these numbers form the possible four digit numbers that are
divisible by 4. ans.8
5. Two trains are traveling at 18kmph and are 60 km apart. There is fly in the
train. it flies at 80kmph. It flies and hits the second train and then it starts
to oscillate between the two trains. At one instance when the two trains collide
it dies. Distance traveled by the fly when both trains collide is Ans.12km
6. there are 1000 doors that are of the openclose type. When a person opens the
door he closes it and then opens the other. When the first person goes he
openscloses the doors ion the multiples of 1 i.e., he opens and closes all the
doors. when the second goes he opens and closes the doors 2, 4 6 8 resly.
Similarly when the third one goes he does this for 3 6 9 12 15th doors resly.
Find number of doors that are open at last.
Ans:square numbers
7.There are 9 balls of this one is defective. Find the minimum no. of chances of
finding the defective one.Ans 3times
8. There are coins of Rs.5, 2,1,50p,25p,10p,5p. Each one has got a weight. Rs 5
coin weighs 20gms.find the minimum number of coins to get a total of 196.5gms.
9.A can do a work in 8 days, B can do a work in 7 days, C can do a work in 6
days.
A works on the first day, B works on the second day and C on the third day
resly.that is they work on alternate days. When will they finish the work.(which
day will they finish the work)
Ans: 7 7/168 days
10.A batsman scores 23 runs and increases his average from 15 to 16. find the
runs to be made if he wants top inc the avg to 18 in the same match.
ans: 39runs.
11.A man sells apples. First he gives half of the total apples what he has and a
half apple.
Then he gives half of the remaining and a half apple. He gives it in the same
manner. After 7 times all are over. How many apples did he initially have.
ans: 127 apples.
12.In a club there are male and female members. If 15 female quit then the
number of females will become double the number of males. If 45 males quit no.
of female becomes five times the number of males. Find the number of females.
ans: females:175,males:80
13.When I was married 10 years back my wife was the sixth member of my family.
Now I have a baby. Today my father was dead and I had a new baby.now the average
age of my family is the same as that when I was married. Find the age of my
father when I was married.
ans:50
14.I and two of my friends were palying a game. For each win I get Rs 3. totally
I had three wins. Player 2 got Rs9 and player 3 got Rs 12. how many games had
been played.
15.A person gives a secret to two other persons in 5 minutes. How long will he
take to tell the secret to 768 people.
16.There are 40 seats in a bus. People agree to share the money for the number
of seats. The total money comes to 70.37. how many seats were free.
9 seats.Rs.2.27
17.I had Rs100 and I play. If I win I will hav Rs110 and if I lose I will hav
Rs90. at the end I hav 2 wins and 2 loses. How much do I hav.
18.There were sums related to diagrams. They asked to calculate the areas of the
circle, rectangle that were enclosed in other objects. They were simple.
20. In a village, there is flood. In one village causalities were less than the
other. Why?
Ans : There were better health care centres(HCC).
21. A question on Pythagoras Theorem. Ans. 20
23. The distance between Mumbai & Calcutta is 25000 Km. Train goes from
Mumbai to Culcutta for which Speed & Time are given. From C>M Speed
alone is give. Of the above conditions which is not required. (Not Complete)
ans: The distance 25,000Km is not required. Because, Speed * Time = Distance. So
only two conditions are required.
24. m < n & x>y Which is false?
Ans: xm < yn
25. A person has Rs.100. If he wins he gains 10%. If he loses the game, he loses
10%. He wins twice and loses twice. How much he has at the end?
Ans: Always less than 100.
26. Area of Shaded portion is ?
Ans : 115.5
Verbal
27. In A tribal group two groups live in different climatic conditions. Ear
Sensitivity is tested and found that one has more when compared to other. What
is the reason.
Ans. Depends on the physical place and condition he is living.
There were many questions on logical reasoning.
Eg:
There are two identical islands. Same tribe live in the islands. But their
receptiveness varies.
This is the question.
There were four choices and we have to select the most appropriate one.
For the above one the answer is  because of climatic changes
There was a question in which they gave a polygon with all the external angles.
we have to calculate the asked interior angle.
PSG, Coimbatore.
CTS Questions 28th May 2003:
There are 60 questions to be answered in 60 minutes
1) In a club there are certain no. of males and females. If 15 females are
absent then no. of males will be twice that of females. If 45 males are absent
then female strength will be 5 times that of males. Find no. of males actually
present.
2) Three men A, B, C plays Cards. If one loses the game he have to give Rs.3. If
he wins the game he will gain Rs.6. If A has won 3 Games, B loses Rs.3, C wins
Rs.12.What is the total no. of games played?
3) A can swim & cross 50m(the length of swimming pool) in 2 min. B can swim
& cross 50m in 2min 15sec. Every time when they meet a bell gong is struck.
For 2000m how many bell sounds might be produced?
4) When I was married 10 years ago my wife is the 6th member of the family.
Today my father died and a baby born to me. The average age of my family during
my marriage is same as today. What is the age of Father when he died?ans:70.
5) There are 9 balls of equal size and same weight(they look similar) except 1.
How may weighs required to find the dissimilar ball using a weighing balance?
6) Product of Prime no. between 1 to 20?
7) Find out the total numbers between 1 to 999 that are neither divisible by 8
nor by 2?
Find out the distinct numbers that can be formed by 2, 3, 7, 6(don�t now
exactly) that should be divided by 4?
9) Two trains at speed 60 km/hr comes in the opposite direction. At a particular
time the distance between the two trains is 18km. A shuttle flies between the
trains at the speed of 80 km/hr. At the time the two trains crashes what is the
distance traveled by shuttle?
10) There are n urns and m balls. If we put 3 balls in each urn 3 balls will be
excess. If we put 4 balls in each urn 1 urn will be excess. Find no. of Urns
(or) Balls?
11) Find the area not occupied by circles:
Given length =y breadth =x (Answer: 3x2(1pie/4))
12) A man gets x/y of Rs.10 and y/x of Rs.10. He returns Rs.20. The Answer
choices are
a) He may not lose
b) He may lose
c) He always loses
d) Cannot be Determined
13) Three men A,B,C can complete a work separately in some specified days(may
be6,7,.
If they do the work together by alternate days. Then how many days need to
complete the work?
14)Four Members A,B,C,D are playing a game .A person losing a game should double
the amount of others .B,C,D are losing in order after three games .The amount
after 3 games are A&B having 40,D is having 16&C 80.
Each questions carry one mark:
a) who started with small amount of money?
Ans)A
15)who started with greatest amount of money?
Ans)B
16)what amount did B have?
Ans)93
Hint: I solved and found the answers to be A>5,B>93
17)There are some houses in a street back to back .And they that house behind 10
was 23.
How many houses in the street?
Ans)32
18)There are 1997 doors in a auditorium and as many as people as the no of doors
open enter the auditorium .A door was closed and as many as people as no of
doors open leave the auditorium . the process was repeated till the no of doors
is equal to1.find the total no of peoples enter the auditorium?
19)A batsman average was 15.at last innings he took 23 runs then his average
became
16.how much run he should take to make his average 18?
20)Find the number WXYZ divisible by 36?
i)let the digits be5,4,3,6 �not in that order
ii)sum of last two digits is 9
iii) sum of middle two digits is 7
>if one is sufficient then ans asA  if two is sufficient then ans as Bif
all are necessary then ans as C if nothing is needed then ans as D
21)X and Y live in a NorthSouth parallel street. X travels 10 km towards North
to reach the eastwest street . Y travels 6 km towards south to reach the east
�west street . X travels now 4km towards east and y travels 8km towards west
and they met each other. What is the distance between x and y?
22)The houses are numbered 1,2,3,� and reach the end of the street and
backtracks toward s the starting point. The house numbered 10 is opposite to 23.
there are even no of houses. Find the total no of houses.
23)A seller has a set of apples out of which he sells one half of it and half an
apple to his first customer.then he sells half of the remaining apples and a
half apple to his second customer.Then he sells half of the remaining apple and
� apple to his third customer and so on.This repeats upto 7th customer and no
more apples are remaining . Find the total no of apples he had.
24) A hollow cube of size 5cm is taken , with the thickness of 1cm . it is made
of smaller cubes of size 1cm . if the outer surface of the cube is painted how
many faces of the smaller cubes remain unpainted?
25)if a 36 cm thread is used to wrap a book , lengthwise twice and breadthwise
once, what is the size of the book?
26)
the various degrees of the vertices are marked in the dig. Find y.
27)if 4 circles of equal radius are drawn with vertices of a square as the
centre , the side of the square being 7 cm, find the area of the circles outside
the square?
2A bus has 40 seats and the passengers agree to share the total bus fare among
themselves equally. If the total fair is 80.67 , find the total no of the seats
unoccupied.
29) A 4 digit no may consist of the digits 6,2,7,5 where none of the nos are
repeated.Find the possible no of combinations divisible by 36?
30) if u r traveling from Mumbai to banglore and return back .To find the speed
of the car which of the following r needed.
a)the distance between them.
b)time taken
c)avg speed towards Mumbai and the avg speed towards banglore.
Choices: 1)a only. 2)a and b 3) a,b,c 4)b only 5) c only ( ans not in order)
31)
( Diagram drawn approximate not to scale.)
if all the blocks are squares and the complete fig is also a square and the area
of the a is 1 cm2,b=81 cm2what is the area of i?
32) A secret can be told only 2 persons in 5 minutes .the same person tells to 2
more persons and so on . How long will take to tell it to 768 persons ?
a)47.5 min b)50 min c) 500 min d)�. Ans:
hree birds cross a point in a same st. line and of that 2 fly in opposite
directions. If a triangle is formed with the position of the birds what kind of
the triangle will be formed?quilateral d)right angle and isosceles.)
when the angle a, b, c, d are given find x.
35) One question is given for explaining the working of cornea (in eyes) &
the window
ans: drawing analogy
36) m<n, & x<y which of the following is definitely false
a)mn < xy b)m+n < x+y
c)&d) Similar options using all 4 variables
37)Four circles are drawn from the corners of a square of area 49 cm2 . Find the
area of 4 circles outside the square
(they didn�t mention that circles have radius=1/2 side of a square)
ans: intermediate
38)In a pond ecosystem,large fishes and small fishes will be there.If we want to
remove small amount of pollutants,small fishes are to be employed.In a
foodchain food passes through a number of mouths and en route the mouth of the
superfeederthe eagle.The size of the ecosystem is determined by its
population.But this has been proved false.
What can you infer from above?
(4 choices)
39)In Bangalore,during income tax deduction for a single person,the percentage
increased by 3% and for middle householders,it decreased by 3%.What can you
infer?
40)In China,MaoTse �Tung was responsible for organizing its people and taking
China into success path.It evolved into a great economic power by improved
industrial and economical statistics.China prospered in those years,but_________________
Which of the following best completes the sentence?(4 choices)
41)A ridge formed over Pacific Ocean was because of the intersection of two
volcanoes.But in history it was written that it was not due to those
volcanoes.It proves a contradictory to form the view that history will be proved
wrong in the future.Inference?
42)In a poultry form because of cloning,a large breed of hens were produced.This
increased the production but the maintenance was very difficult because of the
large number.This does not mean that cloning is a disaster in the scientific
world but it is a tool which in some ways is constructive but in other ways ,it
is destructive.Inference?
(The remaining verbal questions are easy and they can be answered by seeing the
question carefully)
1. Product of prime number between 1 and 20.
2. Number of terms between 1 and 999 not divisible by 8 or 12.
3. There are number of hours on both sides of a road. On one side houses are
numbered in increasing order (1,2,3�). On other sides houses are numbered in
down order. It house number 10, opposite house is house no.23. Find no of houses
(Even number of houses are provided).;
4. What is the area of the shaded region?
Ans.3*x*X(1(pi/4)).
5. An apple seller is having some apples. He is selling half of the apple what
he has plus half the apple to the first customer. In the same way he sells the
remaining apple to 7 customers. After selling to 7 customer, he has no apples
with him.
Ans.127
6. In the combinations of 2,3,6,7 how many possible combinations divisible by 4?
Ans. 8
7. If x>y & n>m which of the following data is false.
8. There are no of urns &no of balls. If three balls are placed in each urn
then 3 balls is left. If 4 balls are placed in each urn then 1 urn is left. What
is the total no of balls?
Ans. None of these.
9. There are 1997 doors in the courts. 1997 people came out from each door. One
door is closed. That many people came out from each door. This continues till a
single person come out of the single open door. Find the no of people inside the
court?
There dare four teams A,B,C, D playing game. If any one team loses, it will play
twice the money to all other teams. They play 3 games B,C,D loses one game each
in the order. Finally A& B has Rs. 40 each & C has Rs. 80 & D has Rs.
16.
10. Which team has started with minimum money?
i) A ii) B iii) C iv) D
ans. I) A
11. Which team has started with maximum money?
i) A ii) B iii) C iv) D
Ans. ii) B
12. Two trains are traveling in 60 kmph on same trace, towards each other. When
the distance between them is 18 km, a fly is going to start, flying between them
in 80 kmph speed. Find the traveling path distance of the fly upto when it is
going to crush by the 2 trains?
Ans. 12 km
13. A batsman outs for 23 runs in one inning which increases his average 15 to
16. If he has to got 18 as average, what score is to made by him in the same
innings?
Ans. 39
14. There are 4 numbers as 5,8,2,1
Form 4, four digit numbers as A ,B and find the sum?
15. A,B,C,D,E,F,G,H,I are all of squares which are combined in a square. Area of
B is 81 cm2.Side of A is 1 cm. Then find area of �I�?
Ans. 324 cm2.
16. Death rate in a village (drought ridden ) decreases. Naidu Govt claims it
free health camps. This goes in valid when
Ans. i. Two water supply tanks were built supplying clean water.
17. In 1996, income after taxdeduction of upperclasses increases by 3% than in
1995.
Choices:
1) No of upper class population increases2) ,, ,, decreases
18. A Man gets x/y of Rs. 10 & y/x of Rs. 10, He gives out Rs. 20.
i) He loses always ii) May or maynot less
iii) cannot always lose.
Petrol prices increased by 40% expected hike in taxi & auto charges so,
people may use public transport systems. What do you infer?
19. All people use a bus paid equalty. 40 seats in the bus.Bus charge is Rs.
70.37How
many seats we left unfilled.
20. 4 men can cross a bridge in 3,7,13, 17 minutes. Only two can cross the
bridge at a time. The time taken by the two to cross the bridge is equal to the
time taken by the slowest person of the two. Find the mininmum time to all of
them cross the bridge.Ans. 47
21. 1000 doors
I man open all
II man 2 multiples close
III man 3 multiples open
IV man 4 multiples close
How many doors are open?
22. I was married 10 years before my wife was sixth member of my family and now
I have a baby and today father died and the average age of my family was same as
it was 10 years before. Find my fathers age when I was married.Ans. 60
Square side 7 cm
Find the area 4 equal circles of the circle lying drawn at the ��.
23. It takes five minutes to pass a rumour from one person to two other persons.
The tree of rumour continues. Find how many minutes does it take spread the
rumour to 768 persons.
24. There are 9 coins. One of 9 is less weighted and others have equal weigtheds.
Find the minimum no of balances to find the defective coin?
Ans. 2
25. (Train did not stop at Calcutta)
26. 2500 km distance between Mumbai & Calcutta, Calculate the average speed.
1) from Mumbai to calculate 25 hrs 2) speed during the return journey was 150
km/hr. 3) speed during the forward journey is 100 km/hr. a) if it can be
answered using each of the given above . Mark b) if it can be answered using two
of them . Mark c) If it can be answered using non of them. Mark d) if non of
them is required to answer.
Ans. (b)
27. Three brids cross a point at the same instant with equal speed. Two of the
birds fly exactly in opposite direction. After they cross the point at any
instant of time. The tree birds are joined by straight lines to form a triangle.
The nature of the triangle is
i) isoceles ii) equilateral iii) Right angled iv�) rightangle isosceles
28. There are two parallel street in NorthSouth direction . A lives in street
1, B lives in street 2, A goes 10 km north and B goes south 8 km to meet the
east � west road. A moves 4 km east and B moves 6 km west to meet each other.
Find distance between houses owned by A & B.
29. A question on eco system.
Inference: Food energy in the eco system dependson the type of population.
Analogies
1. slur : speech : : smudge :?Ans. writing 2. epaulet : shoulder : : ring
Ans.finger
3. vernacular : place : : fingerprint : ?Ans.identical
Opposites
Q. corpulent Ans: emaciated Q. officiousAns: pragmate Q. dextrousAns: clumsy
The following sentences are broken into 4 sections A, B, C, D
Choose the part which has a mistake
Mark (E) if you find no mistake.Q.A)psychologists point out that B)there are
human processes C)which does not involve D) the use of wordsAns. (C) which does
not involve (do)
Q.A)jack ordered for B)two plates of chicken C)and a glass D)of water Ans. (A)jack
ordered for
The following is a 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.
Q. An algorithm follws a six step process za,zb,zc,zd,ze,zf, it is governed by
the following
(i) zd should follow 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
Q. If za is the first set zd must be
a) 3rd b) 5th c) 2nd d) 4th Q. If zb must follow za then za can be
a) third or fourthb) first or second c) can not be third d) fouth or fifth e)
none
Q. If ze is third term the number of different operations possible are
The following questions are based on the given statements
Ravi plants six seperate saplings  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 and w
The third has to be zQ. Which of the following is acceptable
a) xuywzv b) xvzyuw c) zuyxwv d) zvxuwy e) wyzuvx
Q. Which of the following is true
a) z before v b) z before x c) w before u d) y before ue) x before w
Q. If he plants v first, then which can be planted second
a) xb) yc) zd) we) u
. Which of the following describes a correct combination of sapling and row?a)
x,3 b) y,6 c) z,1 d) w,2 e) u,6
Q. If he plants b 6th which would be planted first and second
a) x and w b) x and y c)y and xd)w and z e) w and u
Q. If he plants w before u and after v he should plant w at
a) first b) second c) fourth d) fifth e) sixth
Q. At a certain moment a watch shows 2 min lag although it is running fast.
If it showed a 3 min lag at that moment, but also gains by 1/2 min more a day
than its current speed
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
b) Q. In 400m race A gives B a start of 7 sec and beats him by 24 sec.
In another race A beats B by 10 sec.the speeds are in the ratio
a)8:7 b)7:6c)10:8d)6:8 e)12:10
Q. 3x+4y=10 x3 + y3=6
What is the minimum value of 3x+11y=?
Q. There are 600 tennis players 4% wear wrist band on one wristOf the remaining,
25% wear wrist bands on both hands How many players don't wear a wrist band?Ans.
432
Q. Three types of tea the a,b,c costs Rs. 95/kg,100/kg and70/kg respectively.
How many kgs of each should be blended to produce 100 kg of mixture worth
Rs.90/kg,
given that the quntities of band c are equal
a)70,15,15 b)50,25,25 c)60,20,20 d)40,30,30 Ans. (b)
Q. Two distinct no's are taken from 1,2,3,4......28
Find the probability that their sum is less than 13
SECTION1:
Find the next in the sequence:
1. BC CE EG GK ?a)KN b)KU c)KM d)None
2. AA AB BC CE?a)EG b)EH c)EI d)None
3. AB EF JK QR ?a)YZb)ZAc)AB d)None
4.ACD EGL IKT MOB?
a)QST b)QSZ c)QSY d)None
5.AC CG GO OE?
a)EJ b)EI c)EL d)None
6.AE BH CM DU?
a)EH b)EZ c) EB d)None
7. AD DP PL LV
a)VSb)VK c)VI d)None
8. SE QU EN TI?
a)CN b)BM c)AI or AZ d)None
SECTIONII:
Find the values for the following problem:
f(X)= 2X1 + f(X1) if X is not equal to zeroandiff(X=0)=0
9. Value of f(5)
a)15 b)24 c)22 d)None
10. Value of f(f(2)) 11. Value of f(16) f(15) 12. Value of f(16)+f(15)480 13.
If f(f(X))=81 then the value of X=?
14. If f(X)=4f(X1) then the value of X=? 15.If f(X)= f(X1)+f(X2) for X>1
then X= ?
16. If f(X)f(X1)=f(X for X>5 then X=
SECTION III:
In the following questions a 'word' is given which may not have any meaning.Find
differnet possible words or palindromes for the word as per the question.
For the following find no of distinct words that can be formed.
17. TYGHHTTa).420 b)1540 c)840 d)None
18. TYGHHTY 19. TYGHHTT 20. TYGHHTT 21. TYGHASD 22. TYGHHTY
Find the number of possible palindromes for following
23. TYGHHTY 24. TYHHHTYH.
.SECTION V:
For following first find out the anagram and then note the corresponding
meaning.
33.TABLET
Hint: anagram means first u arrange the letters in correct order like
TABLET===BATTLE . So ans is FIGHT
34.RUGGED 35.GORE. 36.STASSI.
For all above choices are.
a)resentment b)fight c)help d)monster
37. ENFOLD38. LAMB39. RECEDE.40. PLEASE.
For all the above 4 choices are same
a)cuddle b)sleeping c)proclamination d)ointment.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.
SECTION1:
Find the next in the sequence:
1. BC CE EG GK ?a)KN b)KU c)KM d)None
2. AA AB BC CE?a)EG b)EH c)EI d)None 3. AB EF JK QR ?a)YZ b)ZA c)AB d)None
4.ACD EGL IKT MOB?a)QST b)QSZ c)QSY d)None
5.AC CG GO OE?a)EJ b)EI c)EL d)None
6.AE BH CM DU?a)H b)EZ c) EB d)None
7. AD DP PL LVa)VSb)VK c)VI d)None
8. SE QU EN TI?a)CN b)BM c)AI or AZ d)None
SECTIONII:
Find the values for the following problem:
f(X)= 2X1 + f(X1) if X is not equal to zero and if f(X=0)=0
9. Value of f(5) a)15 b)24 c)22 d)None
10. Value of f(f(2)) 11. Value of f(16) f(15) 12. Value of f(16)+f(15)480 13.
If f(f(X))=81 then the value of X=?
14. If f(X)=4f(X1) then the value of X=? 15.If f(X)= f(X1)+f(X2) for X>1
then X= ?
16. If f(X)f(X1)=f(X for X>5 then X=
SECTION III:
17. TYGHHTTa).420 b)1540 c)840 d)None
18. TYGHHTY19. TYGHHTT20. TYGHHTT21. TYGHASD22. TYGHHTY
Find the number of possible palindromes for following
23. TYGHHTY24. TYHHHTYH.SECTION V:
For following first find out the anagram and then note the corresponding
meaning.
33.TABLET Hint: anagram means first u arrange the letters in correct order like
TABLET===BATTLE . So ans is FIGHT
34.RUGGED 35.GORE. 36.STASSI.For all above choices are.
a)resentment b)fight c)help d)monster
37. ENFOLD38. LAMB39. RECEDE.40. PLEASE.
For all the above 4 choices are same a)cuddle b)sleeping c)proclamination
d)ointment.
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 15 are based on the pattern with changed numbers as described
aboveQuestions 68 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(
n1 a c b) + f( 1 a b c) + f( n1 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 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 25 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 V
In this section first part of compound word is given. Select meaning of the
second part from the choice given:
1. Swan2. Swans3. Fool4. Fools5. Stare6. Lady
For all above 4 choices are given.....
Eg. Swan > Swansong (compound word)
1. slur : speech : : smudge :?Ans. writing 2. epaulet : shoulder : : ring
Ans.finger
3. vernacular : place : : fingerprint : ?Ans.identical
Opposites
Q. corpulent Ans: emaciated Q. officiousAns: pragmate Q. dextrousAns: clumsy
The following sentences are broken into 4 sections A, B, C, D
Choose the part which has a mistake
Mark (E) if you find no mistake.Q.A)psychologists point out that B)there are
human processes C)which does not involve D) the use of wordsAns. (C) which does
not involve (do)
Q.A)jack ordered for B)two plates of chicken C)and a glass D)of water
Ans. (A)jack ordered for
The following is a 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 forbidden 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 fraudulent it is void.(iv). An object of
agreement is void if it involves or implies to the personnel 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.Q. An algorithm follows a six step process za,zb,zc,zd,ze,zf, it
is governed by the following(i) zd should follow 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
Q. If za is the first set zd must be3rd b) 5th c) 2nd d) 4thQ. If zb must follow
za then za can be
a) third or fourthb) first or second c) can not be third d) fourth or fifth e)
none
Q. If ze is third term the number of different operations possible are
The following questions are based on the given statements
Ravi plants six seperate saplings  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 and w
The third has to be zQ. Which of the following is acceptable
a) xuywzv b) xvzyuw c) zuyxwv d) zvxuwy e) wyzuvxQ. Which of the following is
true
a) z before v b) z before x c) w before u d) y before ue) x before wQ. If he
plants v first, then which can be planted second
a) xb) yc) zd) we) u
Q. Which of the following describes a correct combination of sapling and row?a)
x,3 b) y,6
c) z,1 d) w,2e) u,6
Q. If he plants b 6th which would be planted first and seconda) x and w b) x and
y c)y and x d)w and z e) w and u
Q. If he plants w before u and after v he should plant w at ) first b) second c)
fourth d) fifth e) sixth
Q. At a certain moment a watch shows 2 min lag although it is running fast.
If it showed a 3 min lag at that moment, but also gains by 1/2 min more a day
than its current speed
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).75Q. In 400m
race A gives B a start of 7 sec and beats him by 24 sec.
In another race A beats B by 10 sec.the speeds are in the ratio
a)8:7 b)7:6 c)10:8 d)6:8 e)12:10
Q. 3x+4y=10 x3 + y3=6 What is the minimum value of 3x+11y=?
Q. There are 600 tennis players 4% wear wrist band on one wristOf the remaining,
25% wear wrist bands on both hands How many players don't wear a wrist band?Ans.
432
Q. Three types of tea the a,b,c costs Rs. 95/kg,100/kg and70/kg respectively.
How many kgs of each should be blended to produce 100 kg of mixture worth
Rs.90/kg,
given that the quntities of band c are equal
a)70,15,15 b)50,25,25 c)60,20,20 d)40,30,30 Ans. (b)
Q. Two distinct no's are taken from 1,2,3,4......28
Find the probability that their sum is less than 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 15 are based on the pattern with changed numbers as described above
Questions 68 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( n1 a c b) + f( 1 a b c) + f( n1
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 25 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 V
In this section first part of compound word is given. Select meaning of the
second part from the choice given:
1. Swan2. Swans3. Fool4. Fools5. Stare6. 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.
SECTION1:
Find the next in the sequence:
1. BC CE EG GK ?a)KN )KU c)KM d)None2. AA AB BC CE?)EG b)EHc)EI d)None
3. AB EF JK QR ? a)YZ b)ZA c)ABd)None4.ACD EGL IKT MOB?
)QST b)QSZc)QSY d)None
5.AC CG GO OE?a)EJ )EI c)E d)Non
6.AE BH CM DU?a)EH b)EZ c) EB d)None
7. AD DP PL LVa)VSb)VK c)VI d)None
8. SE QU EN TI?a)CN b)BM c)AI or AZ d)None
SECTIONII:
Find the values for the following problem:
f(X)= 2X1 + f(X1) if X is not equal to zeroandiff(X=0)=09. Value of f(5)
a)15 b)24 c)22d)None
10. Value of f(f(2)) 11. Value of f(16) f(15)12. Value of f(16)+f(15)48013. If
f(f(X))=81 then the value of X=?
14. If f(X)=4f(X1) then the value of X=?15.If f(X)= f(X1)+f(X2) for X>1
then X= ?16. If f(X)f(X1)=f(X for X>5 then X=
SECTION III:
In the following questions a 'word' is given which may not have any meaning.Find
differnet possible words or palindromes for the word as per the question.
For the following find no of distinct words that can be formed.
17. TYGHHTT
a).420
b)1540
c)840
d)None
18. TYGHHTY
19. TYGHHTT
20. TYGHHTT
21. TYGHASD
22. TYGHHTY
Find the number of possible palindromes for following
23. TYGHHTY
24. TYHHHTYH.
SECTIONIV:
25 to 32 are based on the figures. You have to analyse them and find the odd one
out.
Five figures will be given out of which one is not correct.
Refer R.S Agarwal's book on Analytical Reasoning & TMHs Quantitative ability
book by Edgar Thorpe.
SECTION V:
For following first find out the anagram and then note the corresponding
meaning.
33.TABLET
Hint: anagram means first u arrange the letters in correct order like
TABLET===BATTLE . So ans is FIGHT
34.RUGGED
35.GORE.
36.STASSI.
For all above choices are.
a)resentment
b)fight
c)help
d)monster
37. ENFOLD
38. LAMB
39. RECEDE.
40. PLEASE.
For all the above 4 choices are same
a)cuddle
b)sleeping
c)proclamination
d)ointment.
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 15 are based on the pattern with changed numbers as described above
Questions 68 are of the following type
To get AAABBD from BBBAAA what number should be applied:
a) 25
. But song is not given as an option. so (b) music is the answer.
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