CTS Paper - 10

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 1-20
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 open-close type. When a person opens the door he closes it and then opens the other. When the first person goes he opens-closes 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.
Ans : 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.
Ans: 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: x-m < y-n

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


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.

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CTS Paper - 9

1) A triangle has three sides 2x, 2x + 1 and 2x -1. Find out the area of Triangle.

2) A can do a work in 8 days. B can do a work in 6 days. A, B and C can do the same work in 4 days. They got total 750. What is the share of C?

3) There is a cube whose each side is 12 cm. We paint the cube and then break it into small cubes whose each side is 3cm. Find out the number of unpainted cube. Ans.8

4) There is a cube with each side of 12cm.The cube is painted and break into some smaller cube of side 4 cm. Find out the number of small cube which has more than one painted face. Ans. 32

5) There is a disc with radius 12 cm. We cut a small disc of radius 3 cm from that disc. Find out the ratio of small disc and remaining portion of main disc after cutting.

6) We have a square of side 10 cm. We cut four circle of radius 3 cm. from that square. Find out the ratio of total area of four circles to the remaining portion of square.

7) Sachin drives his car from Bandra to Churchgate at a speed of 85 km. per hour and returns from there at a speed of 95 km per hour. What is his average speed?
a) 90km/hr b)90.3 Km /hr c) 89.7 km / hr d) can’t determine

8) P, Q, R, S, T, W do a job from Monday to Saturday. W does the job on Thursday.
S and T do the job on consecutive days. Q never does the job before P.
There are 5 questions on this passage…..there are 4 sequence given, u have to
Find correct sequence
Say P does the work on Tuesday then what is the correct sequence. Bla …bla …bla

9) S1 and S2 are two series. S1 is the series of first six prime numbers; S2 is the series of first six even numbers. Omitting the common number from both the series, find out the average.

10) Leander and Mahesh both start driving from Mumbai towards lonavela. Leander
drives at a speed of 20 km /hr and Mahesh drives 25 km/hr .On returning from
Lonavela to Mumbai Mahesh meets Leander at Honululu.The distance between
Mumbai and Lonavela is 180 km. what is the distance of Honululu from Mumbai?
Ans. 160


11)Interior and Exterior angles of a triangle has a ratio of 5: 7.Find the sum of the
other two angles of triangle.

11)-8,-4, 0…….. sum of the series is 52 . Find the total number of term in the series.

12) Laloo Yadav, a mango seller brings mango from Mumbai and sells it in Bihar.
On his way to Bihar from Mumbai, he gives 10% of total mangoes to ticket collector (he don’t have a valid ticket). Then he gives 10% of remaining mangoes to co passengers and 50% of remaining mangoes are found rotten. At last he has 810 mangoes for sale. What is the number of mangoes purchased from Mumbai?
Ans. 2000

13)11 is divided in sum of two numbers, Find the maximum product of them.
Ans. 30

14) English: In an airline company the total revenue is decreased but their number of passenger is increased, how can it be possible?
Ans. Passenger are starting to go a shorter distance

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CTS Paper - 8

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?

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 increases
2) ,, ,, 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.

19. Petrol prices increased by 40% expected hike in taxi & auto charges so, people may use public transport systems. What do you infer?

20. All people use a bus paid equalty. 40 seats in the bus.Bus charge is Rs. 70.37How many seats we left unfilled.

21. 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

22. 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?

23. 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

24. Square side 7 cm
Find the area 4 equal circles of the circle lying drawn at the …….

25. 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.

26. 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

28. 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)

29. 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

30. There are two parallel street in North-South 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.

31. A question on eco system.
Inference: Food energy in the eco system dependson the type of population.
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CTS Paper - 6

The numbers given in pblms may not be exact. But do refer the pattern of the pblms.
1) 1A671B4. If no is divisible by 8, 9 & A,B>0 what is A, B?
a)9,8 b) 0,8 etc
Ans: 9,8

2)11979, to make it a perfect cube, give the smallest no by which it is to be divided.
a)9, b)3, c)5 Ans:9

3) Three dice are thrown. prob to get sum exactly equal to 16. Ans:6/1296

4) A&B can do a work in 6 days. B alone can in 12 days. Then aA alone
can in how many days?

5)120 questions in exam. +1 for correct, -1/4 for wrong. One person attempted some questions and 60% of which were correct and got 55 marks. So how many were attempted by him?

6)A circular table is placed touching both walls at 8cm an 9cm resp. Radius of table?

7)Girls avg pass and Boys avg pass were given along with class avg pass. Total no of students?

8)5 lines are drawn on a plane. Max no. of points at which the lines intersect p?

9)There is one boy and one girl, atleast one of them is lieing. Person with black hair tells "I'm a boy". Person with red hair tells "I'm a girl".Who is girl?
a) Black hair b) red hair c) Both d) None Ans: a

10) One travelling problem. Some km in bike some km in moped, walk some km. How many km if walk all distance, given total dist also.?

11)2 white, 3 red and 4 blue balls are there in a box. Min no of balls to be drawn so that the 2 balls drawn are 1 red and 1 blue.
a)6 b)7 c)8

12)5 places A,B,C,D,E.A-B 2KM
B-C 2 KM
C-E 2KM
C-D 4KM
D-E 3.5 KM
A-D 2KM
A-C 2 KM
2 q's based on this, as below.

11)Min no of stations at which ration shops should be there, so that one cannot travel more than 2 km?
a)2 b)3 c)4 d)5

12)Min no of stations at which ration shops should be there, so that one cannot travel more than 3.5 km?
a)1 b)2 c)3 d)4

13)A,B,C orders either cone or ball ice-cream. If A ordes cone, B orders what C orders
If C orders ball, B orders what A orders.
2 q's based on this, as below.

13) Who always orders same?
a)A b)B c)C d) none

14) If A order cone, what is ordered by B?
a) cone b)ball c)both d) can't tell

15)One magic square pblm. Given certain points. When we add points of each side of square, we get 15 always.
3 questions based on this.

16)A paise pblm. 10 paise, 20 paise, 50 paise 1 rupee and 5 rupee stamps. I gave 20 rupees. Got 3 i rupee stamps extra as he had no change to give balance. How many stamps I bought minimum?

17)Fly pblm.Trains A & B in opposite directions, 120 km apart at 60km/hr. A fly with A at 120 km/hr reaches B,then it return to A and continues till the 2 trains collide. Then distance travelled by fly?


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CTS Paper - 5

1. What is te smallest number which whne decreased by 5 is divisible by 21, 27, 33, and 55?
A] 1490 b] 10400 c] 15490 d] none
Ans:B

2. How many distinct car numbers can be formed using two letters and three digits? The two letters must be distinct and first digit should be non zero?
468000 b] 676000 c] 608400 d] 585000

3. If k+1 represents a three digit even numberthen which of the following must be necessarily odd number
A] (k+1)/2 b] k(k+1) c](k+1)(k-1) d]k(k-2)

4. A cavalcade of cars is travelling such that the average distance between them is 9 ft. and 40 percent of the cars have average length of 5 ft, the rest have an aversge of 3 ft. if the cavalcade has 80 cars. Find the length of cavalcade.
A] 1015ft b] 1024ft c] 1040ft d]720ft

5. Two successive discount of x percent and y percent are given. When is the net discount higest given x+y=k(const)
A] k>x>y b] x
6. The sum of mo0ther and sons age is 1.1 times fathers age . 10years later this ratio will worsen to 1.25 . if the father is 5 years older than the mother. What is the age of son
A] 8 b]12 c]10 d]14

7. The two digit number is 3 more than seven times sum of its digits also twice the number formed by reversing its digits is 1 more the number . what is the original number?
A]63 b]83 c]73 d]82 Ans:C

8. Post cards costing 15 paise each and inland letter costing 75 paise each were purchased for rupees 33. total number of items purchased were 60. find the change in the costr if number of post cards and letter are interchanged?
A] no change b] Rs 18 more c] Rs 18 less d] Rs 12 less.

9. In a racs guninder was not first. Joginder came in after harinder, indrajeet was not ahead of mahinder. Gunoinder was not in front of joginder. Indrajeet was not fourth or fifth.
Mahinder was not first. Who finished first and second in the race?
A] harinder followed by maninder b] harinder followed by joginder
C] harinder followed by guninder d] cant find
Ans:B(check)

10. A child is solving a jigsaw puzzle with 306 pieces. Each day that he fits pieces together, there are fewer pieces left to sort. So he is able to fit an extra piece as each day goes by. On the first day he fits 30 pieces. How many days does it take him to complete the puzzle.
A]10 days b]9 dyas c]8 days d]none

11. In three coloured boxes Red, Green and Blue – 108 balls are placed. There are twice as many in the green and red boxes combined as there are in the blue box and twice as many in the blue box as they are in the red box. How many balls there in the green box.
A]18 b]36 c]45 d]none

12. If a man and a half can build a wall and a half in a day and a half, how many walls do 6 men in 6 days ?
A]3 b]6 c]12 d]none

13. A octagonal table is marked A to H consecutively and clockwise. A black ball is in corner A , while the white ball is in corner E. the black ball moves one corner at a time clockwise, while the white ball moves anti-wlockwise. First it goes to the next corner. Then it misses one and goes to the next corner. Then it misses two, then three, and so on. In how many moves and in which corner will the two balls be together.
A]3 moves,corner D b]4 moves,corner Cc]5moves,cornerF d]none

14. A shop keeper used only 4 weights to weigh any article between 1 kg and 40 kgs.What r the weights?
A]1,3,9,27 b]2,3,7,28 c]7,8,10,15 d]several r possible
Ans:A

15. Rashmi leaves office at 6.00Pm and catches a 6.30 pm local train that arrives in her town at 7.00 pm . Her father leaves home to pick up her at 7.00pm from the station as she gets off the train. Yesterday , Rashmi left her office early and took a 6.00 pm train and arrived at 6.30 pm .As her father was not there to pick her up,she started walking towards home. Her father left home at the usual time , saw her daughter walking, picked her up and drove home arriving there 10 mins earlier than usual. For how ling did rashmi walk before her father picked her up?
A]10min b]15 min c]20 min d]25 min Ans:D

16. 125 aliens descended on a set of film on extra terrestrial beings. 40 had 2 noses,30 had 3 legs,20 had 4ears,10 had four eears and 3 had all the three unusual features. How many were there without any of these unusual features?
A]59 b]35 c]80 d]none

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CTS Paper - 4

CTS PAPER - 4


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 games-in 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.


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.

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

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 runner-up 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 runner-up 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. A-B+c>A+B-C 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.
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CTS Paper - 3

CTS PAPER-3
IN N.I.T. JAMSHEDPUR – COMPLETE 40 QUESTIONS


1. A starts from a place at 11.00 A.M. and travels at a speed of 4 kmph, B starts at 1.00 P.M. and travels with speeds of 1 kmph for 1 hour, 2 kmph for the next 1 hour, 3 kmph for the next 1 hour and so on. At what time will B catch up with A?
a) 9.24 b) 9.32 c) 9.48 d) none

2. The average temperature of Monday to Wednesday was 37C and of Tuesday to Thursday was 34C. If the temperature on Thursday was 4/5 th of that of Monday, the temperature on Thursday was
a) 36.5C b) 36C c) 35.5C d) 34C

3. Swetha and Chaitanya went to a bookshop. Swetha purchased 5 pens, 3 note books and 9 pencils and used up all her money. Chaitanya purchased 6 pens, 6 note books and 18 pencils and paid 50% more than what Swetha paid. What % of Swethas money was spent on pens?
a) 12.5 b} 62.5 c) 75 d) can’t be determined.

Directions for Questions 4, 5, 6. Alex, Bond, Calvin and Dorna collected coins of different countries.
a. They collected 100 altogether b. None collected less than 10
c. Each collected an even no. d. Each collected a different no.

4. Based on the above, we can say that the no. of coins collected by the boy who collected the most could not have exceeded
a) 54 b) 64 c) 58 d) 60

5. If Alex collected 54 coins, we can say (on the basis of information obtained so far) that difference in nos. collected by the boy who collected the most and the boy who collected the 2nd most should be at least
a) 30 b) 24 c) 26 d) 12

6. Alex collected 54 coins. If Calvin collected 2 more than double the no. collected by Dorna, the no. collected by Calvin was
a) 10% b) 30% c) 22% d) 26 %

7. How many nos. are there between 100 and 200 both inclusive and divisible by 2 or 3?
a) 67 b) 68 c) 84 d) 100

8. Find the greatest no. that will divide 964, 1238 and 1400 leaving remainder of 41, 31 and 51 resp.
a) 58 b) 64 c) 69 d) 71

9. If all 6’s get inverted and become 9’s, by how much will the sum of all nos. between 1 and 100 both inclusive change?
a) 300 b) 330 c) 333 d) none of these

10. If all the picture cards are removed from a pack of cards, the sum of the values of the remaining is
a) 55 b) 220 c) 54 d) 216

11. What is the min. no. of weighing operations required to measure 31 kg of rice if only one stone of 1 kg is available?
a) 31 b) 6 c) 5 d) 16

12. The ratio of the no. of white balls in a bag to that of black balls is 1:2. If 9 grey balls are added the ratio of nos. of white, black and grey become 2:4:3. How many black balls were in the bag?
a) 6 b) 9 c) 12 d) 8

13. There are 2 toy cars facing each other at a distance of 500 cm from each other. Each car moves forward by 100 cm at a speed of 50 cm/s and then moves backward by 50 cm at a speed of 25 cm/s. How long will it take for the cars to collide?
a) 12s b) 14s c) 16s d) 13s

14. It takes 8, 12 and 16 days for A, B and C resp. to complete a task. How many days will it take if A works on the job for 2 days then B works on it until 25% of the job is left for C to do, and C completes the work?
a) 10 days b) 14 days c) 13 days d) 12 days

15. ????A and B run in opposite directions from a pt. P on a circle with different but constant speeds. A runs in clockwise direction. They meet for the first time at a distance of 900 m in clockwise direction from P and for the second time at a distance of 800 m in anticlockwise direction from P. If B is yet to complete one round, the circumference of the circle is
a) 1700m b) 1250m c) 1300m d) 1200m

16. Bird A starts flying from P to Q at 9.00 A.M. and bird B starts flying from Q to P at 10.00 A.M. B is 50% faster than A. What is the time at which they meet if P and Q are 300kms apart and A’s speed is 50kmph.
a) 12 noon b) 12.30pm c) 11.30am d) 11.00am

17. There are 6 cities, of which each is connected to every other city. How many different routes can one trace from A to B, such that no city is touched more than once in any one route
a) 48 b) 60 c) 65 d) 72

18. In a group of 80 coins, exactly one is counterfeit and weighs less than the others. U are provided a scale to weigh to coins. The min. no. of weightings req. to determine the counterfeit coin is
a) 4 b) 1 c) 5 d) none of these

Directions for questions 19 to 23

Mark a if the ans. Can be obtained using 1 and 2 independently
Mark b if the ans. Can be obtained by using only one of the two statements.
Mark c if the ans. Can be obtained by using both statements 1 and 2 but not either of them alone.
Mark d if the ans. cannot be obtained by using 1 and 2

19. What is the selling price of product X
1. Profit as a % sales is 10%, cost price is Rs.27
2. Profit as % sales is 20%, cost price is Rs.20


20. Find the perimeter of the rear wheel of a cart?
1. When the cart moves 5m, the rear wheel moves R rotations less than the front wheel.
2. The radius of the rear wheel is 3 times that of front wheel.


21. Is a-b+c>a+b-c. a, b,c are integers.
1. b is negative
2. c is positive

22. What is the distance from mumbai to Nagpur?
1. Driving at 90kmph I reach nagpur I hr earlier than if I were to drive at 80kmph.
2. Driving at 100kmph I covered 40% of the distance in 7 hrs.


23. What is the age of father and the son?
1. The ratio of their ages is 5:3 now and will be 3:2 in 10 years.
2. The sum of their ages now is 80, and 5 years ago the ratio was 9:5.


24. A cube of 12cm sides is painted red on each side. It is cut into cubes of 3cm
side each. How many of the smaller cubes do not have any side painted red?
a) 8 b) 12 c) 16 d) 0


Directions for questions 25 to 28. Kamal Babu came home just after judging a beauty contest where there were four semi-finalists: Ms.Uttar Pradesh, Ms.Maharashtra, Ms.Andhra Pradesh and Ms.West Bengal. His wife was very keen on knowing who the winner was and kamal Babu replied immediately that it was the one wearing the yellow saree. When his wife asked for more details, he gave the following information:

The four girls were wearing saris of different colors (yellow, red, green, white) and the runner-up was wearing green.
The four girls were sitting in a row, and Ms.West Bengal was not sitting at either end.
There was only one runner-up and she was sitting next to Ms.Maharashtra.
The girls wearing yellow and white saris occupied the seats at either end.
Ms.West Bengal was neither the winner nor the runner-up.
Ms.Maharashtra was wearing white.
The winner and the runner-up were not sitting next to each other.
The girl wearing the green sari was not Ms.Andhra Pradesh.
Answer the following questions based on the above information.

25. Who was wearing the red sari?
a) Ms.Andhra Pradesh b) Ms.West Bengal
c) Ms.Uttar Pradesh d) cannot be determined
b

26. Between which two was Ms.West Bengal sitting?
a) Ms.Andhra and Ms.Uttar
b) Ms.Andhra and Ms.Maharashtra
c) Ms.Uttar and Ms.Maharashtra
d) Cannot be determined
a

27. What was the color of the sari that Ms.Uttar Pradesh was wearing?
a) White b) Green c) Red d) Yellow

28. What was the color if the sari that Ms.Andhra was wearing?
a) White b) Yellow c) Red d) Indeterminate
b.


Directions for questions 29-31. Shweta, Tina, Uma and Vidya were playing a game. The rule of the game is that the loser doubles the amount of money that each of the other has. They play four games. A different girl loses each game-in reverse alphabetical order. At the end of the fourth game, each girl has Rs.32/-.

29. Who started with the lowest amount of money?
a) Shweta b) Tina c) Uma d) Vidya

30. Who started with the highest amount of money?
a) Shweta b) Tina c) Uma d) Vidya

31. How much did Uma have at the end of the second game?
a) Rs.32 b) Rs.72 c) Rs.8 d) Rs.36



Directions for questions 32-33. Abel, Lucky, Bingo are three T.V. channels. A survey shows that 30%, 20%, and 85% of the people watch Abel, Lucky, and Bingo respectively.

20% of the people watch exactly two of the three channels and 5% watch none.


32. What % of the people watches all three channels?
a) 0 b) 5 c) 10 d) 20

33. If another survey indicates that 20% of the people watch Abel and Bingo, and
16% watch Lucky and Bingo, then what % of the people watch only Lucky?
a) 0 b) 5 c) 10 d) 20

Directions for questions 34-39. A museum curator must group 9 paintings-F,G,H,I,J,K,L,M,N,O in 12 spaces numbered consecutively from 1-12. The paintings must be in three groups, each group representing a different century. The groups must be separated from each other by at least one unused wall space. Three of the paintings are from the 18th century, two from the 19th century, and four from the 20th century.
Unused wall spaces cannot occur within groups.
G and J are paintings from different centuries.
J, K and L are all paintings from the same century.
Space no. 5 is always empty.
F and M are 18th century paintings.
N is a 19th century painting.

34. If space 4 is to remain empty which of the following is true?
a) Space no. 10 must be empty.
b) The groups of paintings must be hung in chronological order by century.
c) An 18th century painting must be hung in space 3.
d) A 19th century painting must be hung in space 1.

35. If the paintings are hung in reverse chronological order by century, the unused
wall spaces could be
a) 1, 5 and 10 b) 1, 6 and 10
c) 4, 7 and 8 d) 5, 8 and 12

36. Which of the following is a space that cannot be occupied by a 19th century Painting?
a) Space 1 b) Space 6 c) Space 8 d) Space 11

37. If J hangs in Space 11, which of the following is a possible arrangement for
spaces 8 and 9?
a) F in 8 and M in 9 b) K in 8 and G in 9
c) N in 8 and G in 9 d) 8 is unused and H in 9

38. If the 20th century paintings are hung in spaces 1-4 which of the following cannot
true?
a) Space 8 is unused b) Space 9 is unused
c) F is hung in space 6 d) N is hung in space 9

39. If the first paintings in numerical order of spaces are F, O, M, N, G which of the
Following must be true?
a) Either space 1 or space 4 is unused
b) Either space 7 or space 12 is unused
c) H hangs in space 11
d) Two unused spaces separate the 18th and 19th century paintings

40. You have reached Utopia where you find two kinds of precious stones, rubies
and emeralds. The worth of a ruby and that of an emerald is Rs.4 lakhs and Rs.5
lakhs respectively while their weights are 0.3 kg and 0.4 kg respectively. You have a bag that can carry maximum of 12 kgs. How many rubies and emeralds
would you carry such that their total value is maximized?
a) 20 rubies and 15 emeralds b) 8 rubies and 24 emeralds
c) 0 rubies and 30 emeralds d) none of the above

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CTS Paper - 2

CTS PAPER-2
1. What is the co-efficient of the term independent of x in the series [ (1/2)(1/x)^1/3 +(1/x)^(-1/5)]^8. where ^ denotes "to the power of".

2. In an examination a student must answer 65% of the questions correctly. But it was found that after answer 7 questions corretly out of the first 14, the student qualified. What is the min no. of questions in the paper.
(a) 22 (b) 18 (c) 20 (d) Can't say

3. There r two jars. In the first jar there is 25%Milk and in the second jar there is 50% milk. What ratio of milk should be added to get 12 lit of milk from the two jars such that we get 62.5% Milk in the whole mixture.
[Ans: 6lit : 6lit]

4. There r 8 envelops and 8 letters. What is the probability that the all the letters will be inserted in the correct envelop.

5. There r two bridges at a distance of 1Km. A person starts rowing upstream from 1st bridge and when he reaches the second bridge he losses his cap. After 15mins he realises it and turns bach and rows downstream and catches his hat at the bottom of 1st bridge. Find : The speed of boat in still water

6. Same problem but find the speed of the river

7. There are 1000 doors that are of the open-close type. When a person opens the door he closes it and then opens the other. When the first person goes he opens-closes 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 respectively. Similarly when the third one goes he does this for 3 6 9 1 2 15th doors resly. Find number of doors that are open at last.
[Ans: 31]

8. 40 people can do a work in 60 days. After every 10 days 5 persons keeps leaving the job. In how many days will the job be completed.

9. A square field is there of dim : 40 X 60 m. A 1 m path is surrounded on the field outside it. What is the area of the path.

10. x=2 + 2^(1/3) + 2^(2/3). Find the value of x^3 -6x^2 - 8x. Something like this we have to find the answer was 8.

11. There was a puzzle on 5 traders in the name Steel,wood,Timber....and they produce Steel, wood, timber ...and supply them to others but not to the manufacturer of it. For eg: Steel supplies Wood's Product to the reciver of Timber. this was a comfusing puzzle. About 4 questions were from this part

12. A person starts from A to B. After 1hr his tyre gets punctured and he repairs it for 10 mins and travels the rest of the distant with 30km/hr and arrives 30 min late. had the puncture occured 30 Kms earlier he wud been only 15 mins late. Find the ditance betn. A & B and his intila speed.

13. What is the co-efficient of the term independent of x in the series [ (1/2)(1/x)^1/3 +(1/x)^(-1/5)]^8. where ^ denotes "to the power of".

14. In an examination a student must answer 65% of the questions correctly. But it was found that after answer 7 questions corretly out of the first 14, the student qualified. What is the min no. of questions in the paper.
(a) 22 (b) 18 (c) 20 (d) Can't say

15. There r two jars. In the first jar there is 25%Milk and in the second jar there is 50% milk. What ratio of milk should be added to get 12 lit of milk from the two jars such that we get 62.5% Milk in the whole
mixture. [Ans: 6lit : 6lit]

16. There r 8 envelops and 8 letters. What is the probability that the all the letters will be inserted in the correct envelop.

17. There r two bridges at a distance of 1Km. A person starts rowing upstream from 1st bridge and when he reaches the second bridge he losses his cap. After 15mins he realises it and turns bach and rows downstream and catches his hat at the bottom of 1st bridge. Find : The speed of boat in still water

18. There are 1000 doors that are of the open-close type. When a person opens the door he closes it and then opens the other. When the first person goes he opens-closes 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 respectively. Similarly when the third one goes he does this

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CTS Paper 1

CTS PAPER - 1

1. If [x] indicates integral of x i.e is the largest integer less than x and |x| indicates absolute value of x then what is the maximum value of [x]/|x|.
A. 1 B. 0 C.-1 D. None of these
Ans: A

2. In the above question what is the minimum value of [x]/|x|.
A. 1 B. 0 C.-1 D. None of these Ans: D
(3-6) If the clock(Conventional clock with numbers from 1 to 12 in order) is cut into 3 pieces such that the sum of numbers on each piece are in Arithemetic Progression(A.P) with a common difference of 1.

3. What is the sum of even numbers in the group where 5 is present?
A. 4 B. 10 C. 12 D. 14 Ans: B

4. What is the product of all numbers in the group in which 12 is present
A. 212 B. 252 C. 244 D. None of these

5. What is the count of numbers in each piece.
A. 2,2,5 B. 5,5,2 C. 3,4,5 D. 6,4,2 Ans: C

6. What is the count of numbers in each piece.
A. 2,2,5 B. 5,5,2 C. 3,4,5 D. 6,4,2 Ans: C

7. Avinash takes 15 days to complete a work and Bada takes 12 days to complete the same work. If they work in alternate days, In how many days they finish the work.
A. 13 days B. 13 1/4 days C. 6 1/4 days D. None

8. There is a circular track of length 400 mts. If A and B Starts at the same point but in opposite direction with a speeds of 8 m/sec and 12 m/s respectively.Then at what time after the begining they will meet for the second time.
A. 1hr 40 sec B. 20 sec C. 40sec D. 3hr 20 sec
Ans: C

9. In the above question when will they meet for the first time at the starting point.
A. 1hr 40 sec B. 20 sec C. 40sec D. 3hr 20 sec
Ans: A

10. If the vertices of the triangle are A(1,2), B(-2,-3) and C(2,3) then which is the largest angle?
A. Angle(ABC) B.Angle(BAC) C.Angle(ACB) D.None
Ans:B

11. If (-1,0), (0,-1) and (-1,-1) are three vertices of a square then what is the 4th vertex.

12. If [x] indicates integral of x i.e is the largest integer less than x and |x| indicates absolute value of x then find the value of
[1.99]+[-2.99]+[1.03]+[2.50]
A. 2 B.1 C.-2 D. -5
Ans: A
Step1: Add all the numbers
Step2: If it is less than 10 STOP, else go to Step1.

13. If X=6724 then what is the end result after applying the above algorithm.
A. 19 B.10 C.1 D. None
Ans:C

14. If the 4 numbers are arranged in all possible orders then how many solutions are possible.
A. ONE B. TWO 3.THREE 4. NONE
Ans A

15. A trader frauds by 10% while buying and 10% while selling the same. What is the total gain he obtained during the transaction?
A. 13 B.221/4 C.20 D.None of these

16. There are three cylinders with same height and surface area. If a new cylinder is created by melting these three with the same height as before what is the surface area of the new cylinder when compared to that of the previous.
A. 25% more B.50% more C.100% more D.None

17. If x=a then y=b except when x=b and y=a. If x=a, then p,q,r,s but when x not equal to a then p,q,r,s=e,f,g,h. If x=m or n then both charecters preeciding it and following it also equals the same with the precedence to the preceding charecter. There r 5 questions based on the above.

18. A says " the horse is not black".
B says " the horse is either brown or grey."
C says " the hoese is brown"
At least one is telling truth and atleast one is lying. tell the colour of horse?
Answer : grey

19. A son and father goes for boating in river upstream . After rowing for mile son notices the hat
of his fathefalling in the river.After 5 min. he tells his father that his hat has fallen. So they
turn round and are able topick the hat at the point from where they began boating after 5min.
Tell the speed of river?
Ans...6 miles/hr

20. A+B+C+D=D+E+F+G=G+H+I=17 where each letter represent a number from 1 to 9. Find
out what does letter D and G represent if letter A=4. (8 marks) Ans. D=5 G=1
21. Argentina had football team of 22 player of which captain is from Brazilian team and goalki from
European team. For remainig palayer they have picked 6 from argentinan and 14 from european.
Now for a team of 11 they must have goalki and captain so out of 9 now they plan to select 3
from rgentinian and 6 from European. Find out no of methods avilable for it. (2 marks)
Ans : 160600 ( check out for right no. 6C3 * 14C6)

22. Three thives were caught stealing sheep, mule and camel.
A says " B had stolen sheep "
C says " B had stolen mule"
B says he had stolen nothing.
The one who had stolen horse is speaking truth. the one who had stolen camel is lying . Tell who
had stolen what? Ans. A- camel ;B- mule ;C- horse

23. A group of friends goes for dinner and gets bill of Rs 2400 . Two of them says that they have
forgotten their purse so remaining make an extra contribution of Rs 100 to pay up the bill. Tell the
no. of person in that group. Ans - 8 person

24. In acolony there are some families. Each of them have children but different in numbers.Following
are conditions:
A) No of adult no of sons no of daughters no of families.
B) Each sister must have atleast one brother and should have at the most 1 sister.
C) No of children in one family exceeds the sum of no of children in the rest families.
D) Tell the no of families.(5 marks)
Ans : 3 families

25. There are 6 people W,H,M,C,G,F who are murderer , victim , judge , police, witness, hangman.
There was n eye witness only circumtancial witness. The murderer was sentenced to death.
read following statement and determne who is who.
1. M knew both murderer and victim.
2. Judge asked C to discribe murder incident.
3. W was last to see F alive.
4. Police found G at the murder site.
5 H and W never


26. In a village, there is flood. In one village causalities were less than the other. Why?
Ans : There were better health care centres(HCC).

27. A question on Pythagoras Theorem.
Ans. 20

28. 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.

29. m < n & x>y Which is false? Ans: x-m < y-n

30. 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.

31. Area of Shaded portion is ?
Ans : 115.5

32. 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.

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CTS Aptitude Papers

CTS Questions 28th Jan 2008:

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.
Ans : Males 80,Females 175


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?
Ans : 37


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 : 60


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?
Ans : 3


6.Product of Prime no. between 1 to 20?
Ans 9699690


7.Find out the total numbers between 1 to 999 that are neither divisible by 8 nor by 12?
Ans :833


8.Find out the distinct numbers that can be formed by 2, 3, 7, 6(don’t now exactly) that should be divided by 4?
Ans :8


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?
Ans:12 km


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?
ANS:7 URNS & 24BALLS.


11.Find the area not occupied by circles:
Given length =y breadth =x
Answer: 3x2(1-pie/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 Ans He never losses
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 be8,7,6).
If they do the work together by alternate days. Then how many days need to complete the work?
Ans 7 1/8


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=5
b)who started with greatest amount of money?
Ans)B
c)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?
Ans :1996


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?
Ans 39


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 B||if all are necessary then ans as C|| if nothing is needed then ans as D


21)X and Y live in a North-South parallel street. X travels 10 km towards North to reach the east-west 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?
Ans : 20km


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.
Ans :32


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 ½ 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.
Ans :127 (2 pow n) -1


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?
Ans 438


25)if a 36 cm thread is used to wrap a book , lengthwise twice and breadthwise once, what is the size of the book?
Ans 7,4 & 8,2 Area 6


26)the various degrees of the vertices are marked in the dig. Find y
Ans =54


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? Ans 3 pie r pow 2 [461.58]


28)A 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.
Ans :37


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?
Ans :0

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) Ans a and b 3) a,b,c 4)b only 5)Ans c only ( ans not in order)


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: 47.5 min ......35min


33) Three 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?
a)If same speed isosceles b)right angle c)equilateral d)right angle and isosceles.
Ans : a


34)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 a)m-n < x-y
b)m+n < x+y
c)&d) Similar options using all 4 variables
Ans : x-m


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 food-chain food passes through a number of mouths and en route the mouth of the superfeeder-the eagle.The size of the ecosystem is determined by its population.But this has been proved false.
What can you infer from above?


39)In Bangalore,during income tax deduction for a single person,the percentage increased by 3% and for middle house-holders,it decreased by 3%.What can you infer?


40)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?


41)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?