1. Father's age is three years more than three times the son's age.
    After three years, father's age will be ten years more than twice the son's age.
    What is the father's present age.

Ans: 33 years.                 (2 marks)

2. Find the values of each of the alphabets.

     N O O N
     S O O N
+ M O O N
    ----------
      J U N E

Ans: 9326                         (2 marks)

3.  There are 20 poles with a constant distance between each pole
     A car takes 24 second to reach the 12th pole.
     How much will it take to reach the last pole.

Ans: 41.45 seconds              (2 marks)
        Let the distance between two poles = x
         Hence 11x:24::19x:?

4.  A car is travelling at a uniform speed.
     The driver sees a milestone showing a 2-digit number.
     After travelling for an hour the driver sees another milestone with the same digits in reverse order.
     After another hour the driver sees another milestone containing the same two digits.
     What is the average speed of the driver.

Ans: 45 kmph                                (4 marks)

5. The minute and the hour hand of a watch meet every 65 minutes.
    How much does the watch lose or gain time and by how much?

Ans:  Gains; 5/11 minutes                   (4 marks)

6. Ram, Shyam and Gumnaam are friends.
    Ram is a widower and lives alone and his sister takes care of him.
    Shyam is a bachelor and his neice cooks his food and looks after his house.
    Gumnaam is married to Gita and lives in large house in the same town.
    Gita gives the idea that all of them could stay together in the house and share monthly expenses equally.
    During their first month of living together, each person contributed Rs.25.
    At the end of the month, it was found that Rs 92 was the expense so the remaining amount was distributed equally
    among everyone.
    The distribution was such that everyone recieved a whole number of Rupees.
    How much did each person recieve?

Ans. Rs 2                                       (4 marks)
        (Hint: Ram's sister, Shyam's neice and Gumnaam's wife are the same person)

7. Four persons A, B, C and D are playing cards.
    Each person has one card, laid down on the table below him, which has two different colours on either side.
    The colours visible on the table are Red, Green, Red and Blue.
    They see the color on the reverse side and give the following comment.

Given that out of the 4 people 2 always lie find out the colours on the cards each person.

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)

1. Mr.Mathurs jewels have been stolen from his bank locker .
    The bank has lockers of 12 people which are arranged in an array of 3 rows and 4 columns like:

• The locker belonging to JONES was to the right of BLACK'S locker and directly above MILLAR'S.
• BOOTH'S locker was directly above MILLAR'S.
• SMITH'S locker was also above GRAY's (though not directly).
• GREEN'S locker was directly below SMITH'S.
• WILSON'S locker was between that of DAVIS and BOOTH.
• MILLAR'S locker was on the bottom row directly to the right of HERD'S.
• WHITE'S locker was on the bottom right hand corner in the same column as BOOTH'S.

Which box belonged to Mr.Mathurs?

Ans: Box number 9 belongs to Mr.Mathurs.

2. Fifty minutes ago if it was four times as many minutes past three o'clock,how many minutes is it to six o'clock?

Ans: Twenty six minutes.

3. If a clock takes 7seconds to strike 7, how long will the same clock take to strike 10?

Ans: The clock strikes for the first time at the start and takes 7 seconds for 6 intervals-thus for one interval time
        taken=7/6.
        Therefore, for 10 seconds there are 9 intervals and time taken is 9*7/6=10 and 1/2 seconds.

4. Three criminals were arrested for shop lifting.
    However, when interrogated only one told the truth in both his statements, while the other two each told one true  
    statement and one lie.
    The statements were:

• ALBERT :(a)Chander passed the merchandise.  (b)Bruce created the diversion.
• BRUCE   :(a)Albert passed the merchandise.      (b)I created the diversion.
• CLIVE     :(a)I took the goods out of the shop.    (b)Bruce passed them over.

Ans: Albert passed the goods.Bruce created the diversion..Clive took the goods out of the shop.

5. Everyday in his business a merchant had to weigh amounts from 1 kg to 121 kgs, to the nearest kg.
    What are the minimum number of weight required and how heavy should they be?

Ans: .The minimum number is 5 and they should weigh 1,3,9,27 and 81 kgs.

6. A hotel has 10 storeys.Which floor is above the floor below the floor, below the floor above the floor, below the
    floor above the fifth.

Ans: The sixth floor.

7. Seven members sat around a table for three days for a conference.
    The member's names were Abhishek, Amol, Ankur, Anurag,Bhuwan ,Vasu and Vikram.
    The meetings were chaired by Vikram.
    On the first evening members sat around the table alphabetically.
    On the following two nights, Vikram arranged the seatings so that he could have Abhishek as near to him as
    possible and abesent minded Vasu as far away as he could.
    On no evening did any person have sitting next to him a person who had previously been his neighbour.
    How did Vikram manage to seat everybody to the best advantage on the second and third evenings?

Ans:
Second evening:Vikram,Ankur,Abhishek,Amol,Vasu,Anurag and Bhuwan.
Third evening   :Vikram,Anurag,Abhishek,Vasu,Bhuwan,Ankur,Amol.

8. Two trains start from stations A and B spaced 50 kms apart at the same time and speed.
    As the trains start, a bird flies from one train towards the other and on reaching the second train, it flies back to the
    first train.This is repeated till the trains collide.
    If the speed of the trains is 25 km/h and that of the bird is 100km/h.
    How much did the bird travel till the collision.

Ans: 100 kms.

9. Four prisoners escape from a prison.
    The prisoners, Mr East, Mr West, Mr South, Mr North head towards different directions after escaping.
    The following information of their escape was supplied:

• The escape routes were The North Road, South Road, East Road and West Road.
• None of the prisoners took the road which was their namesake.
• Mr.East did not take the South Road
• Mr.West did not the South Road.
• The West Road was not taken by Mr.East

What road did each of the prisoners take to make their escape?

Ans: Mr.East took the North Road
        Mr.West took the East Road
        Mr.North took the South Road
        Mr.South took the West Road.

10. Complete the series:
        5, 20, 24, 6, 2, 8, ?

Ans: 12 (as 5*4=20, 20+4=24, 24/4=6, 6-4=2, 2*4=8, 8+4=12).

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