paper 156

1>( 3 marks)

Sandy's uncle died leaving 1000 rs behind to be distributed among his five nephews.
The money is to be divided among the nephews according to their ages. A person gets
Rs 20 more than his immediate younger brother.Sandy being the youngest what was his share?

Ans. Rs 160.0

It was quite an easy one.

let sandy's share be x

x+x+20+x+40+x+60+x+80=1000

5x+200=1000

x=800/5

x=160



2> ( 4 marks)

Rohit was descending from the elavator which was not working. When he had stepped down

7 steps his sir started from the bottom of the elevator and they passed each other and when Rohit had still 4 steps to go down, his sir reached at the top. Taking into consideration that sir’s 2 steps took same time as Rohit’s one what were the total no of steps?

Ans

22 steps

let no of steps be x

speed=distance/time

Distance covered by Rohit = x-7-4 (7 steps already covered and 4 were still to go)

Distance covered by sir = x

Speed of Rohit =s

Speed of sir = 2s

Time taken is equal in both the cases so

Time(rohit)=time(sir)

(x-7-4) / s = x / 2s

2x – 22 = x

x=22





3> ( 3 marks)

A vendor who is an ex-mathematician has a number of apples and when he arranges them in rows of 3 he is left with one more, when he arranges them in rows of 5 again he is left with 1 more, Same happens with when he tries to arrange them in rows of 7 and 9 that is 1 apple is left extra.

But when he arranges them in a row of 11 he is left with none. Can u tell me how many apples were there?

Ans

946

the no is a multiple of 3,5,7,9 + a remainder of 1. So

3* 5* 7* 9= 945 + 1 =946

946 /11= 86

so it is divisible by 11 also.





4> ( 4 marks)

A theft was reported in a p[olice station and police detained 3 persons – Tommy, Lee and Andy on the basis of doubt. However everyone said that he did not steal and one among the other two is the thief. Later on police came to know that Tommy was lying. Who was the real thief?

Ans

Tommy

He gave 2 false statements:

1: he didn’t steal though he was the thief.

2: one among the other two did it. If he is the thief how can other 2 do it.

It was very easy and infact that created a doubt n everyone cross checked it again n again to be sure as nobody was expecting such a simple puzzle.

5> (6 marks)

The temperature is noted for 5 consecutive days and it is noted that no two days have the same temperature. Moreover the product of all the 5 readings is 12. The difference is noted to the nearest degrees. What were the readings of the temperature?

Ans: -2, -1, 1, 2, 3

Factors of 12: 4*3,6*2

2*2*3 bt 2 cant b repeated so –2 and to nullify -ve sign –1 is there

so –2 *-1 * 1 * 2 *3 = 12



6> ( 8 marks)

There are five persons in an office in the post of buyer, clerk, footwalker, manager,cashier.

Allen, Benett, Clark, Ewinger, Davis holds the post.

Among the 5 two have their lunch time from 11:30- 12:30 and the rest have it in 12:30 –1:30
Mrs Allen and Mrs Benett are sisters.
Cashier and clerk share their lunch among themselves.
Two Bachelors share their rooms.
Davis and Ewinger doesn’t face each other from the day Davis reported Ewinger to the Manager when he returned from lunch and found out that Ewinger has already left for lunch before time.
Ans:

I m not sure about the answers bt question was like this

Davis:Buyer

Clark:Cashier

Allen: Manager

Benett:Clerk

Ewinger:Footwalker



Lunch 11:30 – 12:30

Two


Davis ( from the 5th point he takes lunch in the earlier session)

Davis cant be manager




lunch 12:30 – 1:30

three

Ewinger( form the 5th point he takes

lunch in 2nd session

Ewinger cant be manager






7> (4marks)

A dice has faces 1 against 6, 3 against 5 and 2 against 4 always. How many such combinations of faces are possible in a dice?

Ans

24

keeping 1 and 6 fixed, we can have two combinations of 6 and 3, and two of 2 and 4 that means four. And interchanging 1 and 6 we can have two more combinations that means with one pair 8 combinations are there : 4*2=8. Similarly with other two also 8 combos. So in all 8*3=24 combos are possible.


8> (4 marks)

A boy’s age is 5 times as old as his sister. His father’s age is twice to that of his mother who is five times as old as the boy. The sum of all of them equals to that of his grandmother who is celeberating his 81st birthday. How old is the boy?

Ans:

5 years old

let boys age b x

sister’s = x/5

mother’s=5x

fatther’s=2(5x)

grandmother’s=81

81=x/5+x+5x+10x

81*5 = x+5x+ 25x +50x

405 = 81x

x= 405/81

x=5

so boys age is 5 years



9> (6 marks)

It was something like 4persons take part in a race and got different ranks.what weretheir ranks: John, black, Wee, Anthony

Conditions were given like

If John stood first then wee cant be on 4th position and Anthony at 2nd postion.
Similarly 4 5 conditions were given


10> (8 marks)

An easy question with 4 subparts

A painter has 7 paintings and he follow certain rules while exhibiting the paintings:

Never places x and y in the same exhibit

If y is there z is also there

U is there if and if only w is there1. 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:


1 2 3 4
5 6 7 8
9 10 11 12

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)