(Paper) CTS Fresher Job Interview, Question Pattern Paper -1

Here are the Latest Placement Papers from CTS. The sections here are Reasoning and English.

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 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: 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 playing 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 have Rs110 and if I lose I will have Rs90. at the end I have 2 wins and 2 loses. How much do I have.

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.

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

20. A question on Pythagoras Theorem.
Ans: 20

21. The distance between Mumbai & Calcutta is 25000 Km. Train goes from Mumbai to Calcutta 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 (A) Time = Distance. So only two conditions are required.

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

23. 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.

24. Area of Shaded portion is ?
Ans: 115.5

25. 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.

Directions for Questions 1-5: There are five friends Sachin, Kunal, Mohit, Anuj and Rohan. Sachin ia shorter than Kunal but taller than Rohan. Mohit is tallest. Anuj is a little shorter than Kunal an little taller than Sachin.

1.Who is the shortest?
(a) Rohan
(b) Sachin
(c) Anuj
(d) Kunal
(e) None of these
Ans: A

2. If they stand in the order of their heights, who will be in the middle? (a) Kunal (b) Rohan (c) Sachin (d) Anuj (e) None of these
Ans: D

3. If they stand in the order of increasing heights, who will be the second?

(a) Anuj (b) Sachin (c) Rohan (d) Kunal (e) None of these
Ans: B
4. Who is the second tallest? (a) Sachin (b) Kunal (c) Anuj (d) Rohan (e) None of these
Ans: B
5. Who is taller than Anuj but shorter than Mohit? (a) Kunal (b) Rohan (c) Sachin (d) Date Inadequate (e) None
Ans: A
6. 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
7. Given the following functions (1) f (n a b c ) = ac if n=1 (2) f (n a b c) = f ( n-1 a c b) + f ( 1 a b c) + f ( n-1 b a c ) if n > 1 CThen what is the value f ( 2 a b c ) = ?
Ans: f ( 2 a c b ) = ab + ac + bc.
8. There are 600 tennis players 4% wear wrist band on one wrist Of the remaining, 25% wear wrist bands on both hands How many players don't wear a wrist band?
Ans: 432
9. 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
10. 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
Directions for Questions 11-15 : Each question given below has a problem and two statements numbered I and II giving certain information. You have to decide if the information given in the statements are sufficient for Ans: wering the problem. Indicate your Answer as (a) if the data in statement I alone are sufficient to Answer the question; (b) if the data in statement II alone are sufficient to Answer the question; (c) if the data in either in I or II alone are sufficient to Answer the question; (d) if the data even in both the statements together are not sufficient to Answer the question; (e) if the data in both the statements together are needed;
11. A) The boy regretted that he had spend a greater part of his vacation in the chair with a plastered leg. B) With a plastered leg, the boy regretted that he had spent a greater part of his vacation in the chair C) The boy regretted that a plastered leg he had spent a greater part of his vacation in the chair. D) The boy with a plastered leg regretted that he had spent a greater part of his vacation in the chair.
Ans: C
12. A) If You will pay heed to the small details, the general plAns: will surely succeed. B) If you pay heed to the small details, the general plAns: will surely succeed. C) If you would heed the small details, the general plAns: would have succeed. D) If you heeded to the small details, the general plAns: would surely succeed
Ans: B
13.
A) It is a pleasure to see an alligator basking in the sunshine on a river bank as long as 90 feet. B) It is a pleasure to see an alligator as long as 90 feet basking in the sunshine on a river bank C) It is a pleasure to see an alligator basking in the sunshine as long as 90 feet on a river bank D) It is a pleasure to see an alligator basking as long as 90 feet in the sunshine on a river bank.
Ans: B
14. A) There will be a meeting in the long room at 4 o'clock of all the boys who play cricket and football. B) There will be a meeting of all the boys who play cricket and football in the long room at 4 o'clock. C) There will be in the long room at 4 o'clock a meeting of all the boys who play cricket and football D) In the long room at 4 o'closk there will be a meeting of all the boys who play cricket and football
Ans: D
15. A) We had in this village, some twenty years ago, an idiot boy, whom I well remember, who from a child showed strong propensity for bees B) Some twenty years ago, we had an idiot boy in this village, who from a child showed strong propensity for bees, whom I well remember. C) We had an idiot boy, whom I well remember, who from a child showed strong propensity for bees, in this village some twenty years ago. D) In this village, we had an idiot boy some twenty years ago, who from a child showed strong propensity for bees, whom I well remember.
Ans: A
Directions for Questions 16-20 : Convert the given binary numbers.
16. (11111011)2= ( )8
Ans: (373)8
17. (11011110110010101101)2 = ( )16
Ans: (DECAD)16
18. ( 11010101)2 = ( )10
Ans: (213)10
19. (11100111)2 = ( )8
Ans: (347)8

20. (1100010101010010001)2 = ( )8
Ans: (1425221)8

Questions 21-25 : A cube painted red on two adjecent faces and black on the faces opposite to the red faces and green on the remaining faces is cut into sixty- four smaller cubes of equal size.
21. How many cubes are there which have no face painted ? A) 0 B) 4 C) 8 D)6
Ans: C
22. How many cubes have only one face painted ? A) 8 B) 16 C) 24 D)32
Ans: C
23. How many cubes have less than three faces painted ? A) 80 B) 24 C) 28 D)48
Ans: D
24. How many cubes are there with three faces painted ? A) 4 B) 8 C) 16 D)24
Ans: B
25. How many cubes have one face green and one of the adjacent faces black o red ? A) 8 B) 16 C) 24 D)28
Ans: C

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