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1. At 6'o a clock ticks 6 times.
    The time between first and last ticks is 30 seconds.
    How long does it tick at 12'o clock.

Ans: 66 sec.                 (2 marks)

2. Three friends divided some bullets equally.
    After all of them shot 4 bullets the total number of bullets remaining is equal to the bullets each had after division.
    Find the original number divided.

Ans: 18                         (2 marks)

Initially   .    x          x        x
Now          x-4       x-4     x-4
Equation is   3x-12 = x

3. A ship went on a voyage.
    After it had travelled 180 miles a plane statrted with 10 times the speed of the ship.
    Find the distance when they meet from starting point.

Ans: 200miles.              (2 marks)
        Distance travelled by plane = 1/10 distance travelled by ship + 180

4.  Complete the Table given below:

      Three football teams are there. Given below is the group table. Fill in the x's

Ans: The filled table is given below                                (4 marks)

5. There are 3 societies A, B, C. 
   A lent cars to B and C as many as they had already.
   After some time B gave as many tractors to A and C
as many as they have.  After sometime c did the same thing. At the end of this transaction each one of them had 24.
Find the cars each orginally had.

Ans: A had 39 cars, B had 21 cars & C had 12 cars                   (4 marks)

6. There N stations on a railroad.
    After adding X stations on the rail route 46 additional tickets have to be printed.
    Find N and X.

Ans. x=2  and N=11

Let initially, N(N-1) = t
After adding,  (N+X)(N+X-1) =  t+46
By trail and error method                                       (4 marks)

7. Given that April 1 is tuesday.
    A, B, C are 3 persons told that their farewell party was on

• A  - May 8, thursday
• B  - May 10,tuesday
• C  - June 5, friday

Out of A, B, C only one made a completetly true statement concerning date,day and month
The other told  two one told the day right and the other the date right..
What is correct date, month, day.

Ans:  B - (May 10) SUNDAY
        C  - June 6 (Friday).                                     (5 marks)

8. The Bulls, Pacers, Lakers and Jazz ran for a contest.
    Anup, Sujit, John made the following statements regarding results.

• Anup said either Bulls or Jazz will definitely win
• Sujit said he is confident that Bulls will not win
• John said he is confident that neither Jazz nor Lakers will win

When the result cameit was found that only one of the above three had made a correct statement.
Who has made the correct statement and who has won the contest. 

Ans: Sujith; Lakers                      (5marks )

9. Five people A ,B ,C ,D ,E are related to each other.
    Four of them make one true statement each as follows.

(i)  B is my father's brother.       
(ii) E is my mother-in-law.
(iii)C is my son-in-law's brother
(iv)A is my brother's wife.

Ans: (i)   D
        (ii)  B
        (iii) E
        (iv) C                                 (10 marks)

10.  Some statements are given below:

• L says all of my other four friends have money
• M says that P said that exactly one among them has money
• N says that L said that precisely two among them have money
• O says that M said that three of the others have money
• P, L and N said that they have money

All the above statement are false..
Who has money & who doesn't have any money?

(5 marks)

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