1. Persons A and B. Person
A picks a random no. from 1 to 1000.Then person B picks a random no. from 1 to
1000. What is the probability of B getting no. greater then what A has
picked.
2. Some free body diagram
is given
3 | 9
--------------------------------
2 | 4 |
~~~~~~~~~~~~~~~~~
C | 5 | 9 15
~~~~~~~~~~~~~~~~
3 | 2 |
~~~~~~~~
80 | | A B
For equilibirium find
values of A,B,and C.
3. Three boys and three
girls brought up together. Jim,Jane,Tom,Virgina,Dorthy,and XXX. They marry among
themselves to form three couples. Conditions are :
i) Sum of their ages would
be the same.
ii) Virgina was the
oldest.
iii) Jim was dorthy's
brother.
iv) Sum of ages Jane+Jim
and Tom+dorthy is same.
Give the three
couples.
4. X^(1/3) - X^(1/9) =60
Solve for
X.
5.
X Z
Y
+X Y Z
---------
Y Z
X
---------
Find the three digits.
6. Two boats start from
opposite banks of river perpendicular to theshore.One is faster then the
other.They meet at 720 yards from one of theends. After reaching opposite ends
they rest for 10 mins each. After that they start back. This time on the return
journey they meet at 400 yards from the other end of the river. Calculate the
width of the river.
7. Basketball Tournament
organisers decided that two consecutive defeats will knock out the team. There
are 51 teams participating. What is the maximum no. of matches that can be
played.
8. Three guys are there
A,B,C. They have three subjects to take from biology, Mathematics, Physics,
Chemistry. The four statements of the guys are given. Only two statements are
correct out of them.
9. The Master says to his
grandmaster that me and my three cousins have ages in prime numbers only.
Summation of our ages is 50. Grandmaster who knows the age of the master
instantly tells the ages of the three cousins. Tell the ages of three cousins.(
1 is not considered as prime no.)
10. There are two families
Alens and smiths. They have two children each. There names are A,B,C,D whose
ages are different and ages are less then or equal to 11. The following
conditions are given:-
i) A's age is three years
less then his brother's age.
ii) B is eldest among the
four.
iii) C is half the age of
the eldest in Alens family.
iv) The difference in sum
of the ages of Alens children and smiths children is same as that of five years
ago.
Find the ages of all the
childeren.
1. Replace each letter by
a digit. Each letter must be represented by the same digit and no beginning
letter of a word can be 0.
O N E
O N E
O N E
O N E
-------
T E N
-------
Ans: 0 =1, N = 8 ,E = 2, T
= 7.
2. Ann, Boobie, Cathy and
Dave are at their monthly business meeting. Their occupations are author,
biologist, chemist and doctor, but not necessarily in that order. Dave just told
the biologist that Cathy was on her way with doughnuts. Ann is sitting across
from the doctor and next to the chemist. The doctor was thinking that Boobie was
a goofy name for parent's to choose,but didn't say anything. What is each
person's occupation? Ans: Since Dave spoke to the biologist and Ann sat next to
the chemist and across the doctor, Cathy must be the author and Ann the
biologist. The doctor didn't speak, but David did, so Bobbie is the doctor and
Dave the chemist.
3. Sometime after 10:00 PM
a murder took place. A witness claimed that the clock must have stopped at the
time of the shooting. It was later found that the postion of both the hands were
the same but their positions had interchanged. Tell the time of the shooting
(both actual and claimed).
Ans: Time of shooting =
11:54 PM Claimed Time = 10:59 PM.
4. Next number in the
series is 1 , 2 , 4 , 13 , 31 , 112 , ?
Ans:
224.
No number has digits more
than 4. All of them are 1 , 2, 4, 8 , 16 , 32 , 64 converted to numbers in base
5.
5. Shahrukh speaks truth
only in the morning and lies in the afternoon, whereas Salman speaks truth only
in the afternoon. A says that B is Shahrukh. Is it morning or afternoon and who
is A - Shahrukh or Salman?
Ans: Afternoon.A is
Salman.
6. Two trains starting at
same time, one from Bangalore to Mysore and other in opposite direction arrive
at their destination 1 hr and 4 hours respectively after passing each other. How
nuch faster is one train from other?
Ans:
Twice.
7. There are 6 volumes of
books on a rack kept in order ( ie vol.1, vol. 2 and so on ). Give the position
after the following changes were noticed. All books have been changed Vol.5 was
directly to the right of Vol.2 Vol.4 has Vol.6 to its left and both weren't at
Vol.3's place.Vol.1 has Vol.3 on right and Vol.5 on left. An even numbered
volume is at Vol.5's place Find the order in which the books are kept
now.
Ans: 2,
5,1,3,6,4.
8. I bought a car with a
peculiar 5 digit numbered licence plate which on reversing could still be read.
On reversing value is increased by 78633.Whats the original number if all digits
were different?
Ans: Only 0 1 6 8 and 9
can be read upside down. So on rearranging these digits, we get the answer as
10968.
9. The shape in the sketch
below is that of a square attached to half of a similar square. Divide it into
four equal pieces.
Ans: Hint : The figure can
be divided into 12 equal triangles.
10. Supposing a clock
takes 7 seconds to strike 7. How long will it take to strike
10?
Ans: 10 1/2
seconds
1. There is a escalator
and 2 persons move down it.A takes 50 steps and B takes 75 steps while the
escalator is moving down.Given that the time taken by A to take 1 step is equal
to time taken by B to take 3 steps.Find the no. of steps in the escalator while
it is staionary.
2. If 5/2 artists make 5/2
paintings using 5/2 canvases in 5/2 days then how many artists r required to
make 25 paintings using 25 canvases in 25 days?
3. If the digits of my
present age are reversed then i get the age of my son.If 1 year ago my age was
twice as that of my son.Find my present age.
ans. father-73,
son-37
4. There are 6561 balls
out of them 1 is heavy.Find the min. no. of times the balls have to be weighed
for finding out the haevy ball.
ans.
8
5. If i walk with 30
miles/hr i reach 1 hour before and if i walk with 20 miles/hr i reach 1 hour
late.Find the distance between 2 points and the exact time of reaching
destination is 11 am then find the speed with which it
walks.
ans. 120miles and 24
miles/hr
6. There r four face cards
(J,Q,K,A) all of different types(diamond,club,spade,heart) and some conditions r
given.find the order of cards
ans. king -> jack ->
queen -> ace
heart diamond spade
club
7. If A,B,C,D,E r 5
members of a family.4 of them give true statements :
1. E is my mother in
law
2. C is my son in law's
brother
3. B is my father's
brother
4. A is my brother's
wife
Who made the stmt. and
what r the realtions among them
ans.
E
|
A<-->B--C
|
D
<--> denotes
husband-wife
-- denotes
brothers
8. The product of 5
different temperatures is 12.If all of then r integers then find all the
temperatures
ans.
-2,-1,1,2,3
9. If a flight travels
between India(IST) and Toronto(TST).There r 2 types of flights slow and
fast.
IST
TST
SLOW - -
FAST - -
TST
IST
SLOW -
-
FAST -
?
These are the departure
times and arrival times for slow and fast flights in IST and TST. then find the
time in ?
ans.
22:40
10.There r 9 cities
numbered 1 to 9.From how many cities the flight can start so as to reach the
city 8 either directly or indirectly such the path formed is divisible by
3.
eg. 1368-Flights goes
through 1-3-6-8.
1) Every station in N
railroad issues every other station's ticket. Some stations are added. Now they
have to issue 46 more tickets. Give the No. of stations after and before
added.
(5
marks).
2) There was a race
between 3 people. Me, Doug and Anne. When I take 21 steps the distance covered
is equal to Doug's 24 steps and Anne's 28 steps. I take 6 steps to every 7 steps
of Doug and 8 steps of Anne. Who won the race?
3)How many bearers will an
explorer need for a 6 day march if each man can carry the food stuff of one man
for 4 days.
4) Consider the following
statements:
Albert: Dave did
it.
Dave: Tony did
it.
Gug: I did not do
it.
Tony: Dave lied when he
said that i did it.
(a)If only one out of all
above statements is true, who did it?
(b)If only one out of all
above statements is false, who did it?
5) A contribution of Rs.
500 was raisedfrom 500 people. The fee was as follows:
Men: Rs.3.00
each
Women: Rs. 2.00
each
Childern: 0.48
each
If number of women is more
than number of men, how many childern are there?
(5
marks)
6) Alice and Liu had some
berries. The total of Alice's berries and square of number of berries with Liu
is 62. The total of Liu's berries and square of number of berries with Alice is
176. How many berries does each of them have?
(6
marks)
7) A rope ladder was left
down from a ship. 12 steps of the ladder were exposed at 10:00 am. The queen who
was going to visit the ship, said she would visit at 1:00 pm as she would have
to climb lesser number of steps then. The tide in the sea increases from morning
to afternoon at the rate of 1.2 meters per hour. The distance between any 2
steps of the ladder is 0.4 mts. How many steps will the queen have to
climb?
8) 5 hunters Doe,
Deer,Hare,Boarand Row kill 5 animals. Each hunter kills an animal that does not
corrspond to his name. Also each hunter misses a different animal which again
does not correspond to his name.
a) The Deer is killed by
the hunter,known by the name of the animal killed by Boar.
b) Doe is killed by the
hunter, known by name of animal missed by Hare.
c) The Deer was
disappointed to kill only a Hare and missed the Roe.
9) There was 1 more on
moon gravity 1/6, weight ...
1. I participated in a race.1/5th of those
who are before me are equal to 5/6th of those behind me. What were the total
number of contestants in the race?
(3
Marks)
2. Find the 3 digit number. Third digit is
square root of first digit. Second digit is sum of first and third digits. Find
the number.
(3
Marks)
3. This problem is of time and work type.
Some A and some B are able to produce so many tors in so many hours.(for example
10 A and 20 B are able to produce 30 tors per hour). Like this one more sentence
was given. We have to find out the rate of working of A and B in
tors/hour.
(4
Marks)
4. A and B play a game of dice between
them. The dice consists of colors on their faces instead of numbers. A wins if
both dice show same color. B wins if both dice show different colors. One dice
consists of 1 red and 5 blue. What must be the color in the faces of other
dice.(i.e how many blue and how many red?). Chances of winning for A and B are
even.
(5
Marks)
5. A girl has 55 marbles. She arranges
them in n rows. The nth row consists of n marbles, the (n-1)th row consists of
(n-1) marbles and so on. What are the number of marbles in nth
row?
(3
Marks)
6. This question is of analogy type. Some
sentences regarding tastes of people to poetry are given like all who like A's
Poem, like the poems of B. Like this 7 or 8 sentences were given. Questions were
based on this.
(8
Marks)
7. This question is also of analogy type.
Four persons are there A,B,C,D. Each of the four persons own either P,Q,R,S. 10
sentences using if clause were given. We have to find out which belongs to
whom.
(8
Marks)
8. This question involves
percentage.
(5
Marks)
9. Problems on ages.
(6
Marks)
10. Problems on time and
distance.
|
|
1) Every station in N railroad
issues every other station's ticket. Some stations are added. Now they
have to issue 46 more tickets. Give the No. of stations after and before
added. (5 marks). 2) There was a race between 3
people. Me, Doug and Anne. When I take 21 steps the distance covered is
equal to Doug's 24 steps and Anne's 28 steps. I take 6 steps to every 7
steps of Doug and 8 steps of Anne. Who won the race? 3)How many bearers will an explorer
need for a 6 day march if each man can carry the food stuff of one man for
4 days. 4) Consider the following
statements: 5) A contribution of Rs. 500 was
raisedfrom 500 people. The fee was as follows: (5 marks) 6) Alice and Liu had some berries.
The total of Alice's berries and square of number of berries with Liu is
62. The total of Liu's berries and square of number of berries with Alice
is 176. How many berries does each of them have? (6 marks) 7) A rope ladder was left down from
a ship. 12 steps of the ladder were exposed at 10:00 am. The queen who was
going to visit the ship, said she would visit at 1:00 pm as she would have
to climb lesser number of steps then. The tide in the sea increases from
morning to afternoon at the rate of 1.2 meters per hour. The distance
between any 2 steps of the ladder is 0.4 mts. How many steps will the
queen have to climb? 8) 5 hunters Doe, Deer,Hare,Boarand
Row kill 5 animals. Each hunter kills an animal that does not corrspond to
his name. Also each hunter misses a different animal which again does not
correspond to his name. 9) There was 1 more on moon gravity
1/6, weight ... Altogether there were 11
questions to be completed in 1 hr.English test was simple for 30 mins - 1
comprehension & other fill in the blank kinds, questions some sentence
correction questions. |
|