Dr. Rajakrishnan M, Assistant Professor in Commerce, PSG College of Arts & Science, Coimbatore, Tamil Nadu, India.

Notification

Aptitude Test Paper 2


1. A man starts his walking at 3PM from point A, he walks at the rate of 4km/hr in plains and 3km/hr in hills to reach the point B. During his return journey he walks at the rate of 6km/hr in hills and 4km/hr in plains and reaches the point A at 9PM.What is the distance between A and B?
Ans: 12km

Solution:
       T1+T2=6
         T1-time for forward journey,
         T2-time for return journey
   D1+D2=forward /return distance
  D1-distance in plains
  D2-distance in hills
  D1/4 +D2/3=T1 (forward time)
  D1/4 +D2/6=T2 (return time)
        Adding we will get D1+D2=12 km


2. A boy asks his father, " what is the age of grand father?". Father replied " He is x years old in x^2 years", and also said, "we are talking about 20th century". what is the year of birth of grand father?
Ans: 1892


3. A boy travels in a scooter after covering 2/3rd of the distance the wheel got punctured he covered the remaining distance by walk. Walking time is twice that of the time the boy’s riding time. How many times the riding speed as that of the walking speed?
Ans: 4 times.


4. In a Knockout tournament 51 teams are participated, every team thrown out of the tournament if they lost twice. How many matches to be held to choose the winner?
Ans: 101 matches


5. A man sold 2 pens. Initial cost of each pen was Rs. 12. If he sell it together one at 25% profit and another 20% loss. Find the amount of loss or gain, if he sells them seperately.
Ans: 60 Paise gain


6. Find the 3 digit no. whose last digit is the squareroot of the first digit and second digit is the sum of the other two digits.
Ans: 462


7. Meera was playing with her brother using 55 blocks.She gets bored playing and starts arranging the blocks such that the no. of blocks in each row is one less than that in the lower row. Find how many were there in the bottom most row?
Ans: 10


8. Two people are playing with a pair of dies. Instead of numbers, the dies have different colors on theirsides. The first person wins if the same color appears  on both the dies and the second person wins if the colors are different. The odds of their winning are equal. If the first dice has 5 red sides and 1 blue side, find the color(s) on the second one.
Ans: 3 Red, 3 Blue


9. A person travels in a car with uniform speed. He observes the milestone,
which has 2 digits. After one hour he observes another milestone with same digits reversed. After another hour he observes another milestone with same 2 digits separated by 0. Find the speed of the car?
Ans : 45


10. Three persons A, B &C went for a robbery in different directions and they theft one horse, one mule and one camel. They were caught by the police and when interrogated gave the following statements

A: B has stolen the horse
B: I didn't rob anything.
C: both A & B are false and B has stolen the mule.

The person who has stolen the horse always tell the truth and The person who has stolen the camel always tell the lie.

Find who has stolen which animal?
Ans:   
A- camel
B- mule
C- horse


11. One quarter of the time till now from midnight and half of the time remaining from now up to midnight adds to the present time.  What is the present time?
Ans: 9:36AM


12. After world war II three departments did as follows First department gave some tanks to 2nd  & 3rd  departments equal to  the number they are having.  Then 2nd department gave some tanks to 1st & 3rd departments equal to the number they are having. Then 3rd department gave some tanks to 2nd &1st departments equal to the number they are having.  Then each department has 24 tanks.  Find the initial number of tanks of each department?
Ans ;  
A-39
B-21
C-12


13. A, B, C, D&E are having their birthdays on consecutive days of the week not necessarily in the same order. A 's birthday comes before G's as many days as B's birthday comes after E's.  D is older than E by 2 days.  This time G's birthday came on Wednesday. Then find the day of each of their birthdays?

Ans:   
Birthday of D on SUNDAY
Birthday of B on MONDAY
Birthday of E on TUESDAY
Birthday of G on WEDNESDAY
Birthday of A on THURSDAY


14. A girl 'A' told to her friend about the size and color of a snake she has seen in the beach. It is one of the colors brown/black/green and one of the sizes 35/45/55.

If it were not green or if it were not of length 35 it is 55.
If it were not black or if it were not of length 45 it is 55.
If it were not black or if it were not of length 35 it is 55.

a) What is the color of the snake?
b) What is the length of the snake?

Ans: 
a) brown
b) 55


15. There are 2 persons each having same amount of marbles in the beginning. after that 1 person gain 20 more from second person and he eventually lose two third of it during the play and the second person now have 4 times marble of what 1st person is having now. Find out how much marble did each had in the beginning.
ANSWER - 100 each


16. A lady was out for shopping. she spent half of her money in buying A and gave 1 dollar to bagger. further she spent half of her remaining money and gave 2 dollar to charity. further she spent half of remaining money n gave 3 dollar to some children. now she has left with 1 dollar. how much she had in the beginning?
Ans $42



17. There are certain diamonds in a shop.
1 thief stole half of diamonds and 2 more.
2 thief stole half of remaining and 2 more
3. same as above
4 same as above.
5 came nothing was left for that.
how many diamonds was there???
Ans 60 diamonds


18. There are three friends A B C.
1. Either A or B is oldest
2. Either C is oldest or A is youngest.
Who is Youngest and who is Oldest?
Ans A is youngest n B is oldest.


19. Father says my son is five times older than my daughter. my wife is 5 times older that my son. I am twice old from my wife and altogether (sum of our ages) is equal to my mother 's age and she is celebrating her 81st  birthday. so, what is my son's age?
Ans - 5 years.


20. In Mulund, the shoe store is closed every Monday, the boutique is closed every Tuesday, the grocery store is closed every Thursday and the bank is open only on Monday, Wednesday and Friday. Everything is closed on Sunday.

One day A, B, C and D went shopping together, each with a different place to go. They made the following statements:

A
D and I wanted to go earlier in the week but there wasn’t day when we could both take care of our errands.
B
I did not want to come today but tomorrow I will not be able to do what I want to do.
C
I could have gone yesterday or the day before just as well as today.
D
Either yesterday or tomorrow would have suited me.

Which place did each person visit ?

A-BOUTIQUE
B-BANK
C-GROCERY
D-SHOE



21. The Novice hockey tournaments are on for beginners. Just three teams are in the league, and each plays the other two teams just once. Only part of the information appears in the result chart, which is given below.
Team
Games
Won
Lost
Tied
Goals For
Goals against
A
2


1
0

B
2
1


1
2
C
2






The scoring pattern in the tournament is as follows:

Two points are awarded to the winning team. In case of a tie, both teams are awarded one point, so the total points in the standings should always equal the total number of games played ( since each game played is counted as one for each of the two participating teams). Of course, total goals scored for and goals scored against must be the same, since every goal scored for one team is scored against another.

The games are played in the following order: Game 1: A Vs B; Game 2: A Vs C; Game B Vs C

Can you determine the score of each of the above games ?

Ans:    A – B =  0-1.
            A – C =  0-0.
             B – C = 0-2.



22. A recent murder case centered around the six men, clam, flip, gront, herm, mast, and walt. In one order or another these man were the victim, the murderer, the witness, the police, the judge, and the hangman. The facts of the case were simple. The victim had died instantly from the effect of gunshot wound inflicted a shot. After a lengthy trial the murderer was convicted, sentenced to death, and hanged.

v  Mast knew both the victim and the murderer.
v  In court the judge asked clam his account of the shooting.
v  Walt was the last of the six to see flip alive.
v  The police testified that he picked up gront near the place where the body was found.
v  Herm and walt never met.
What role did each of the following play in this melodrama ?
a)     Murderer – Flip.
b)     Victim     - Herm.
c)     Judge      - Mast.
d)     Witness   - Gront.

(or)
22.There are 6 people related to a murder case Fillip, walt,  Mark, joseph, peter, and george. Each of them is police ,murderer, judge, Witness, victim, and hangman. May not be in the same order. The murderer is hanged up for this crime.
Following are some statements,
1. Joseph knows both witness and murderer
2. Walt is the last who saw  fillip alive.
3. Police made sure that he arrested george at the murder site.
4. Peter doesn’t meet Walt.  
Find who played following role in the above drama
1. Murderer
2. Judge
3. Witness
4. Hangman
Ans:
1. Murderer - Walt
2. Judge - Joseph
3. Witness - George
4. Hangman – Peter
23. Fodder, pepsi and cereale often eat dinner out.
a)     each orders either coffee or tea after dinner.
b)     if fodder orders coffee, then pepsi orders the drink that cereale orders
c)     if pepsi orders coffee, then fodder orders the drink that cereale doesnot oder
d)     if cereale orders tea, then fodder orders the drink that pepsi orders

which person/persons always  orders the same drink after dinner ?

Ans:Fodder



24. At a recent birthday party there were four mothers and their children. Aged 1,2,3 and 4. from the clues below can you work out whose child is whose and their relevant ages ?

v  It was jane’s child’s birthday party.
v  Brian is not the oldest child.
v  Sarah had Anne just over a year ago.
v  Laura’s Child will be next birthday.
v  Daniel is older than Charlie is.
v  Teresa’s child is the oldest.
v  Charlie is older than Laura’s child.


Jane – Charlie -3
Laura – Brian – 2
Teresa – Daniel – 4
Sarah – Anne - 1


25. We are given 100 pieces of a puzzle. If fixing two components together is counted as 1 move ( a component can be one piece or an already fixed set of pieces), how many moves do we need to fix the entire puzzle.
Ans: 99


26. Two guys work at some speed...After some time one guy realises he has done only half of the other guy completed which is equal to half of what is left !!! #$%#$
    So how much faster than the other is this guy supposed to do to finish with the first... (This one stumped me)..

Ans: one and half times or 3/2


27. There is a square cabbage patch. He told his sister that I have a larger patch than last year and hence 211 more cabbages this year. Then how many cabbages I have this year.?
  Ans:106*106=11236


28. There are three guesses on the color of a mule
     1 says:itz not black
     2 says:itz brown or grey
     3 says: itz brown
    Atlest one of them is wrong and one of them is true.....Then what is the color of mule?
  Ans: Grey


29. Jim,Bud and sam were rounded up by the police yesterday. because one of them was
suspected of having robbed the local bank. The three suspects made the following statements under intensive questioning.

Jim: I'm innocent
Bud: I'm innocent
Sam: Bud is the guilty one.
If only one of the statements turned out to be true, who robbed the
bank?
Ans:BUD.


30. There are two containers on a table. A and B . A is half full of wine, while B, which is twice A's size, is onequarter full of wine . Both containers are filled with water and the contents are poured into a third container C. What portion of container C's mixture is wine ?
Ans:33.33%

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