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General - other


CTS Violet Paper 

The paper contains a total of 40 questions, there is negative marking also. Total time is ONE HOUR . Following are some questions .
1  .x==2+2^(2/3)+2^(1/3) .Then what is the value of x^3-6X^2+x? here X^Y indicates X to the power of Y.
     a. -3 b. 0 ….


2.A circle is inscribed in a Triangle of side 6cm. And a square is inscribed in the Circle. What is the area of square?


(3-4) There are two bridges running parallel over river Kauvery, and  they are 1 KM apart. A man started rowing 

          the boat upstream under  first bridge, his hat fell into river while he was exactly under second bridge. He 

          realized that after 15 mts, and started rowing in opposite direction, he eventually caught his hat under First 

          Bridge. What is the speed of river Kauvery?
           What is the speed of boat?

(5-10) There are five traders Timber, Steel, Cotton, Boots, Wood . Each sent a Collection of items between them. 

           No two traders have sent the items among themselves. i.e., The Trader who had received items from X can't 

           send items to X. Steel sent Wood a collection of  boots. Boots sent wood to the sender of Timber. One 

           more condition is there I don't remember. But the puzzle was little bit tough. One can get easily confused 

           because the trader names and trading item names are same. Try to rename them and solve u can come up 

            with an answer, otherwise it might be difficult to untangle the puzzle.five questions on this like 
            Who received cotton?                                                                                  
            Who sent Timber? 
            What did Timber receive? Etc.,
11.  A train is moving at a speed of 25kmph, and another train moving in the same direction at a speed of 49kmph 

       crossed a man in first train in 10 sec? What is the length of second train? (These are not actual values but model 

       is important). 

12.A cube has a surface area of 864sqcms. It is divided into smaller cubes of equal size and their surface area is 

      216sqcms. Find the number of smaller cubes?
      a.4 b.8 c.12 d 16 ANS: b

13.There are two milk cans. First can contains water and milk in the ratio 1:3 and the second contains milk and 

     water  in the ratio 2:2. Some milk from first can and some from second can is mixed in another can. New can 

     has 12   liters of mixture in the ratio 3:5(water to milk). How much milk is taken from first and second can.

        A 6,6 B 7,5 C   5,7 D 4,8    ANS:A

14.A person pays a tax of 10%,if his salary increases by 10% he need to pay a tax of 15%.The total gain he obtains 

      after increment in salary is 350Rs .What is his salary?

      a.12000 b 10000 c.8000 d.14000 Ans:b                                                   

15.Rajesh walks on pavement around the garden of size 60*40.The pavement width is 1 meter. What is the area of 

      a.204 b.102 c.306 d.428 Ans:a

16.A man runs around a square of side 10kms in different speeds as given below, find the average speed. 1st side: 

     10kmph, 2nd Side: 20kmph, 3rd side: 30kmph, 4th side: 40kmph
      a.19.2 b.20 c. 27 d. 26.5 

(17-18) Sreesha starts from Bangalore to go to Sitapur. First two hours he moves at constant speed ,suddenly his 

        car tyre gets punctured, so he took 10 minutes to start again.Then he moved at a constant speed of 30 kmph. 

         By the he reached Sitapur,he was late by 30 minutes. If his car was punctured 30 kms before sitapur, he

         could  have been late only by 15 minutes.
         What is the distance between Sitapur and Bangalore?                                      
         What is the speed with which he started from Bangalore?

19.A university library has two big books placed adjacent to each other. Of which first book is to the left of Second 

     one. A book worm started from the first book, and went on making a hole in a straight line through the second 

      book. If the covers are of width ¼ th of a centimeter and the books a have a width of 2 cm then how much 

      distance did the book worm cover?A 3cm B 4cm C 5cm D 2cm Ans C (1/4+2+1/4+1/4+2+1/4)

20.There are 1000 doors closed. Here each goes through a door , which indicates he closes the door if it is open, 

     and vice versa. 1st person goes through each door, and 2nd person goes through doors that are divisible by 2 

      and like that nth person goes through doors that have numbers divisible by n. how many doors are opened after 

     1000 persons going through the doors?
      a.500 b.150 c.62 d.31 Ans:d (The doors remaining opened at the end are the ones that have square 
      numbers i.e., 1,4,9,16…

(21-24) They are on Data Sufficiency.

21.Find the two numbers
     i)The product of two numbers is 24.
      ii)The sum of two numbers is 10.                                                                      
22. Find the increase in % of salary of a person from 1997 to 2000
      i)His salary increased by 10% in each of the following  years 1998,1999,2000
      ii) I don't remember… But answer is i) is sufficient
23 & 24 are simple..but go through these type of models.

(25-30) Sentence completion.
  I don't remember exact sentences, but I am giving the words that I found as answers among them, just remember 

  the meaning of these words you can easily answer.
26.Embellished…attractive(not meaning but answers for two blanks they have given)
(31-32) Two questions are of conclusion type. Given some information and asked some questions .They are not 

    problematic ,just general reasoning.
31. A company provides some Plans for Old age persons in India regarding their health. The plans actually are too 

      costly, so No one showing interest in joining the Plans.What step among the following will favor company's

       plans ?Some steps were given in a, b, c, d. You need to select the best one.

32. A private organization started a new Scheme on paying School fees. The plan is that if the Parents pay some 

      amount before their children join in Schools, the Organization will look after their fees payments ..what ever 

      course they may do..the company will bear the amount? What do you find the reason for Parents not to join in 

       this Scheme? Some reasons were given in a, b, c, d. You need to select the best one.

33. 60 members complete a work in 40 days. They worked for 10 days. And eventually 10 members quit the job 

      and remaining people worked for another 10 days. and again 10 of them quit the job. This continued for every 

      10 days. How many days did workers take to finish the work?
      The cut off for this paper was very low, because It was bit tough. u can't complete all these questions in 1 hour . 

       I think the cut off could have been around 10 marks. Never try to find what would be the cutoff while you are 

       writing the exam. And how many do I need to answer. Keep answering all the questions you know in 1 hour.