1) L: says all of my other 4 friends have money M:says that P said that exact one has money
N:says that L said that precisely two have money O:says that M said that 3 of others have money.
P:Land N said that they have money. All are liars.Who has money & who doesn't have?
2) A hotel has two, the east wing and the west wing.some east wing rooms but not all have an ocean view(OV).All WW have a harbour view(HV).The charge for all rooms is identical, except as follows
* Extra charge for all HV rooms on or above the 3rd floor
* Extra charge for all OV rooms except those without balcony
* Extra charge for some HV rooms on the first two floor & some EW rooms without OV but having kitchen facilities. (GRE model Test 3-question 1J-22)
3) Post man has a data of name, surname, door no., pet names of 4 families. But only one is correct for each family. There are a set of statements &questions.
4) 4 couples have a party. Depending on the set of statements,find who insulted whom and who is the host of the party.
5) 5 women given some of their heights (tall, medium, short) Hair ( long, plaited), saries (Black or Brown), sari, 2 medium, 2-short.Tall->no sari. Plaited->medium. Answer the combinations.
6) A person has to go both Northwards & Southwards in search of a job. He decides to go by the first train he encounters. There are trains for every 15 min both southwards and northwards. First train towards south is at 6:00 A.M. and that towards North is at 6:10 .If the person arrives at any random time, what is the probability that he gets into a train towards the North.
7) A person has his own coach & whenever he goes to railway station he takes his coach. One day he was supposed to reach the railway station at 5 O'clock. But, he finished his work early and reached at 3 O'clock. Then he rung up his residence and asked to send the coach immediately. He came to know that the coach has left just now to the railway station. He thought that the coach has left just now to the railway station. He thought that he should not waste his time and started moving towards his residence at the speed of 3mi/hr. On the way, he gets the coach and reaches home at 6 o'clock. How far is his residence from railway station.
8) Radha, Geeta & Revathi went for a picnic. After a few days they forgot the date, day and month on which they went to picnic. Radha said that it was on Thursday, May 8 and Geeta said that it was Thursday May 10. Revathi said Friday Jun 8. Now one of them told all things wrongly, others one thing wrong and the last two things wrongly. If April 1st is Tuesday what is the right day, date and month?
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Q. Ramesh sits around a round table with some other men. He has one rupee more than his right person and this person in turn has 1 rupee more than the person to his right and so on, Ramesh decided to give 1 rupee to his right & he in turn 2 rupees to his right and 3 rupees to his right & so on. This process went on till a person has 'no money' to give to his right. At this time he has 4 times the money to his right person. How many men are there along with Ramesh and what is the money with poorest fellow.
Q. Question related to probabilities of removing the red ball from a basket, given that two balls are removed from the basket and the other ball is red. The basket contains blue, red, yellow balls.
Q. Consider this - L says all of my other 4 friends have money M says that P said that exact one has money N says that L said that precisely two have money O says that M said that 3 of others have money. P, L and N said that they have money. All are liars. Who has money & who doesn't have?
Q. A,B,C,D,E are related.4 of them made these statements each.
i) C is my son in law's brother.
ii) B is my father's brother.
iii) E is my mother in law.
iv) A is my brother's wife.
Who made these statements? (person mentioned is one of A,B,C,D,E) (10 marks).
Q. A says Party was held on :Thursday ,May 8th. B says Party was held on :Tuesday,May 10th. C says party was held on :Friday ,June 8th. Given April 1st was Tuesday one of A,B,C says one is correct and one is wrong and one was completely wrong of date, Month and day. Find the day the party was held. (5marks).
Q. A ship is away from the shore by 180 miles. A plane is travelling 10 times speed of the ship. How long from the shore will they meet? (2marks)
Q. Every station in N railroad issue every other station's ticket. Some stations are added. Now they have to issue 46 more tickets. Tell the No. of stations after and before added.(5 marks).
Q. Three persons make these statements.
A says either Democratic or liberal wins the elections. B says Democratic wins. C says neither democratic nor liberal wins the election of these only one is wrong. Who wins the election? (5 marks).
Q. A clock showing 6 o'clock takes 30 secs to strike 6 times. How long will it take to strike 12 at midnight? Ans.66 secs. (2marks)
Q. There are 3 societies A,B,C having some tractors each. A Gives B and C as many tractors as they already have. After some days B gives A and C as many tractors as they have. After some days C gives A and B as many tractors as they have. Finally each has 24 tractors.what is the original No.of tractors each had in the beginning?
Ans.A -39. B- 21. C- 12. (7 marks).
Q. Rohit can catch either the harbour line train or main line train from his nearest railway station to reach his office. Both the trains have a frequency of 10 min. in the morning office hours. The harbour line trains arrive every ten min starting from 5 a.m and the main trains arrive every 10 min starting from 5.02a.m. If Rohit reaches the railway station random; time in the morning to catch the first available train. What is the probability that he will catch the harbour line train .
Q. In certain department store the postion of the buyer, cashier, clerk, floorwalker and manager are held though not necesserly respectively, by miss. ames , miss. brown, Mr. Conory, Mr.Davis, and Mr. Evans. The cashier and the manager are roommates in the college. The buyer is a bachelor. Evans and Ms.Ames had only u business contacts with each other. Mrs.Conory was greatly disappointed when her husband told her that the manager had refused to give him a raise. Davis is going to be a best man when the clerk and the cashier are married. What position does each person hold?
Q. Tanveer and Kunal went down a descending escalator. the escalator was going down at a constant speed. Kunal walked down the steps and had cover 50 steps to reach the bottom. Tanveer on the other hand, ran down the steps of the escalator and take 75 steps to reach the bottom. Actually, Tanveer took 3 steps in the same time it took Kunal to take 1 step. How many steps would be visible when the escalator is stopped and is not operating?
Q. In four team football tournament, all the teams played each other in three rounds of matches. The three rounds of matches are shown in table A.some of the results of the tournament are shown in the table B. Using the clues below, please fill-in the blank columns in the result table B (goals for or against?).
note :two points for win, one point for draw & zero points for defeat are awarded.
clues:
1.eastzone won the tournament despite scoring one goal less than the runner up.
2.northzone scored an odd number of goals in their first round game.
3.south zone who failed to score in their final match, were beaten by a two goal margin in the first round.
4. East zone lost their match against west zone.
5 All four teams scored goals inthe secone-round matches.
6. West zone scored the same number of goals againt east zone as north zone scored against them.
7. East zone scored four goals in round 2 match .
Table A Matches played
Round1 North zone vs south zone
West zone vs east zone
Round2 South zone vs west zone
Eastzone vs north zone
Round3 South zone vs east zone
West zone vs northzone
Table B Results
Q. At six o'clock the wall clock struck 6 times checking with my watch, I noticed that the time between the first and last strokes was 30 seconds. How long will the clock take to strike 12 at midnight...
Please answer the questions with reference to the facts given below:
Q. In a certain community there are 1000 married couples. Two thirds of the husbands who are taller than their wives are also heavier and three quarters of the husbands who are heavier than their wives are also taller. If there are 120 wives who are taller and heavier than their husbands, how many husbands are taller and heavier than their wives?
Q. Both Gupta and Sinhas have two young sons whose ages are under eleven. The names of the boys, whose ages round off to the nearest year are all different, are Rajesh, Praveen, Lalit and Pratap. Taking the ages of the boys only to the nearest year, the following statements are true. Rajesh is three years younger than his brother is. Praveen is the oldest. Lalit is half as old as one of the Gupta boys. Pratap is five years older than the younger Sinha boy. The total ages of the boys in each family differ by the same amount today as they did five years ago. How old is each boy, and what is each boys' family name?
Q. Following services are operated by Asian airlines between the two cities Rampur in India and Alexandrea in Timbuktu. The two cities are located in different countries with different time zones. As is normally done, the time shown is the local time viz. IST and TST (Timbukta standard time.)
Regular time supersonic flight
Depart Rampur 8:20 IST 9:50 IST
Arrive Alexandria 17:10 TST 15:40 TST
Depart Alexandria 20:50 TST 22;50 TST
Arrive Rampur 23:40 IST TST
The arrival time of supersonic flight into Rampur from Alexandria was clearly printed in the time- table. Can you calculate the arrival time of the supersonic flight assuming each service--Regular and Supersonic maintain as own constant speed of flight.
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1) A beggar collects cigarette stubs and makes one full cigarette with every 7 stubs. Once he gets 49 stubs .
How many cigarettes can he smoke totally.
Ans. 8
2) A soldier looses his way in a thick jungle at random walks from his camp but mathematically in an
interesting fashion. First he walks one mile east then half mile to north. Then 1/4 mile to west, then 1/8 mile
to south and so on making a loop. Finally how far he is from his camp and in which direction.
Ans: in north and south directions
1/2 - 1/8 + 1/32 - 1/128 + 1/512 - and so on
= 1/2/((1-(-1/4))
similarly in east and west directions
1- 1/4 + 1/16 - 1/64 + 1/256 - and so on
= 1/(( 1- ( - 1/4))
add both the answers
3) How 1000000000 can be written as a product of two factors neither of them containing zeros
Ans : 2 power 9 x 5 power 9
4) Conversation between two mathematicians:
First: I have three children. The product of their ages is 36. If you sum their ages. It is exactly same as my
neighbour's door number on my left. The second mathematician verifies the door number and says that
its not sufficient. Then the first says " o.k. one more clue is that my youngest is the youngest". Immediately
the second mathematician answers. Can you answer the question asked by the first mathematician?
What are the children ages?
Ans. 2 and 3 and 6
5) Light glows for every 13 seconds. How many times did it between 1:57:58 and 3:20:47 am
Ans. 383 + 1 = 384
6) 500 men are arranged in an array of 10 rows and 50 columns. ALL tallest among each row are asked to
fall out. And, the shortest among THEM is A. Similarly after resuming to their original positions the shortest
among each column are asked to fall out. And the tallest among them is B. Now, who is taller among A &
B?
Ans. A
7) A person spending out 1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travels is
left with Rs.100/- . How much did he have in the beginning ?
Ans. Rs.250/-
8) There are six boxes containing 5, 7, 14, 16, 18, 29 balls of either red or blue in colour. Some boxes contain
only red balls and others contain only blue . One sales man sold one box out of them and then he says " I
have the same number of red balls left out as that of blue ". Which box is the one he solds out?
Ans. Total no of balls = 89 and (89-29 /2 = 60/2 = 30) and also 14 + 16 = 5 + 7 + 18 = 30
9) A chain is broken into three pieces of equal lengths containing 3 links each. It is taken to a blacksmith to
join into a single continuous one . How many links are to be opened to make it ?
Ans. 2.
10) Grass in lawn grows equally thick and in a uniform rate. It takes 24 days for 70 cows and 60 for 30 cows to
eat the grass. How many cows can eat away the same in 96 days?
11) There is a certain four-digit number whose fourth digit is twice the first digit. Third digit is three more than
second digit. Sum of the first and fourth digits twice the third number. What was that number?
Ans : 2034 and 4368
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1. From a vessel on the first day, 1/3rd of the liquid evaporates. On the second day 3/4th of the
remaining liquid evaporates. What fraction of the volume is present at the end of the II day?
2. An orange glass has orange juice and white glass has apple juice. Both equal volume
50ml of the orange juice is taken and poured into the apple juice. 50ml from the white glass
is poured into the orange glass. Of the two quantities, the amount of apple juice in the
orange glass and the amount of orange juice in the white glass, which one is greater and by
how much?
3. There is a 4 inch cube painted on all sides. This is cut into no of 1inch cubes. What is the no
of cubes which have no pointed sides.
4. Sam and Mala have a conversation. Sam says I am certainly not over 40. Mala says I am
38 and you are at least 5 years older than me. Now Sam says you are at least 39. All the
statements by the two are false. How old are they really?
5. Ram Singh goes to his office in the city, every day from his suburban house. his driver
Mangaram drops him at the railway station in the morning and picks him up in the evening.
Every evening Ram Singh reaches the station at 5 o'clock. Mangaram also reaches at the
same time. one day Ramsingh started early from his office and came to the station at
4 o'clock. Not wanting to wait for the car he starts walking home. Mangaram starts at normal
time, picks him up on the way and takes him back home, half an hour early. how much time
did Ram Singh walk?
6. In a railway station, there are two trains going. One in the harbour line and one in the main
line, each having a frequency of 10 minutes. The main line service starts at 5 o'clock. The
harbour line starts at 5.02 a.m. A man goes to the station every day to catch the first train.
what is the probability of man catching the first train ?
7. Some people went for vacation. Unfortunately it rained for 13 days when they were there.
But, whenever it rained in the morning, they had clear afternoon and vice versa. In all they
enjoyed 11 morning and 12 afternoons. How many days did they stay there totally?
8. A survey was taken among 100 people to find their preference of watching TV
programmes. There are 3 channels. Given the no of people who watch at least channel "1",
" 2 ", "3", no channels at all, at least channels "1 and 3 ", " 1 and 2 " ," 2 and 3", find the no
of people who watched all three.
9. Albert and Fernandes have two leg swimming race. both start from opposite end of the
pool. On the first leg, the boys pass each other at 18 mt from the deep end of the pool.
During the II leg they pass at 10 mt from the shallow end of the pool. Both go at const speed.
but one of them is faster. each boy rests for 4 sec to see at the end of the I leg. what is the
length of the pool.
10. T H I S Each alphabet stands for one I S digit, what is the maximum value T -------------- can
take X F X X X X U X -------------- X X N X X --------------
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1. An escalator is descending at constant speed. A walks down and takes 50 steps to reach the bottom. B runs down and takes 90 steps in the same time as A takes 10 steps. how many steps are visible when the escalator is not operating.
2. Every day a cyclist meets a train at a particular crossing. the road is straight before the crossing and both are traveling in the same direction. cyclist travels with a speed of 10 Kmph. One day the cyclist comes late by 25 min. and meets the train 5km before the crossing. What is the speed of the train?
3. Five persons mukherjee, mishra, iyer, patil and sharma, all take then first or middle names in the full names. There are 4 persons having I or middle name of kumar, 3 persons with mohan, 2 persons with dev and 1 anil. -- Either mukherjee and patil have a I or middle name of dev or misra and iyer have their - or middle name of dev -- of mukherkjee and misre, either both of them have a first or middle name of mohan or neither have a first or middle name of mohan --either iyer of sharma has a - or middle name of kumar but not both. Who has the - or middle name of anil?
4. Reading comprehension question comes here.
5. A bird keeper has got P Pigeons, M mynas and S sparrows. The keeper goes for lunch leaving his assistant to watch the birds.
a. suppose p=10, m=5, s=8 when the bird keeper comes back, the assistant informs the x birds have escaped. the bird keeper exclaims oh no! all my sparrows are gone. how many birds flew away.
b. when the bird keeper come back, the assistant told him that x birds have escaped. the keeper realised that at least 2 sparrows have escaped. what is minimum no of birds that can escape.
6. select from the five alternatives A,B,C,D,E. At the end of each question ,two conditions will be given.
the choices are to filled at follows.
a. if a definite conclusion can be drawn from condition 1
b. if a definite conclusion can be drawn from condition 2
c. if a definite conclusion can be drawn from condition 1 and 2
d. if a definite conclusion can be drawn from condition 1 or 2
e. no conclusion can be drawn using both conditions
Person 1 says N<5, person says n>5, person 3 says 3N>20, person 4 says 3n>10, person 5 says N<8, what is the value of N
a) 1. no of persons who speak false being less than no of persons who tells the truth.
2. person 2 is telling the truth.
b) 1. no of persons telling the truth is greater than no of persons telling lies
2. person 5 is telling the truth.
7. there are N coins on a table. there are two players A&B. You can take 1 or 2 coins at a time. the person who takes the last coin is the loser. a always starts first
i. if N=7
a) A can always win by taking two coins in his first chanse
b) B can win only if A takes two coins in his first chance.
c) B can always win by proper play
d) none of the above
ii. A can win by proper play if N is equal to
a) 13 b) 37 c) 22 d) 34 e) 48 ans. e.
iii. B can win by proper play if N is equal to
a) 25 b) 26 c) 32 d) 41 e) none
iv. if N<4, can A win by proper play always
8. Two persons have certain peculiar characteristics. One of them always lies on Monday, Wednesday, Friday. The other always lies on Tuesdays, Thursdays and Saturdays. On the other days they tell the truth. You are given a conversation.
person A-- today is Sunday my name is anil
person B-- today is Tuesday, my name is bill
What is the day today?
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1. Robert, Raj and Rasul always take dinner together. After dinner each will order either coffee or tea.
(a) if Rasul orders coffee, Raj orders what Robert orders
(b) if Raj orders coffee, Rasul orders what Robert doesn't order
(c) if Robert orders tea, Rasul orders what Raj orders
Who orders the same drink always?
(i) Rasul (ii) Rasul &Robert, (iii) all (iv) Raj
Ans. all
(2) Major Raj ,his brother ,daughters and son are always playing Mixed doubles
(i) Mj.Raj's brother is playing across the net directly opposite to Mj. Raj's daughter.
(ii) Mj.Raj's son is playing diagonally across the net of the worst Players sibling.
(iii) Each team is made up of best and worst player of the slot.
Who is the best player?
(a) Mj.Raj (b) his brother (c) his son (d) insufficient data.
(3) there are nine cards numbering 1-9.
(i) card 5 is in centre
(ii) card 9 is in row in which card 5 is there
(iii) card four is in same column in which card 9 is present.
(iv) card 1&card 6 adjacent to each other
(v) sum of each row is equal to 15 only
(vi) sum of each diagonal is also 15
The nine cards are arranged in three rows and three columns;
(*) adjacent means two cards are in same row or same column next to each other.
(*) note: consider all possible answers
(i) which of the above are definitely adjacent to each other Ans; (1&5)
(ii) which two cards do not come definitely adjacent to each other Ans: (5&4)
(iii) the middle column adds up to Ans: (15)
(iv) the middle column can't be added up to x) 10, y)15, z) 20 Ans:( x&z)
Possible tables
2 7 6 6 2 7
9 5 1 1 5 9
4 3 8 3 8 4
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1) There are two balls touching each other circumferentially. The radius of the big ball is 4 times the diameter of the small ball. The outer small ball rotates in anticlockwise direction circumferentially over the bigger one at the rate of 16 rev/sec. The bigger wheel also rotates anticlockwise at Nrev/sec. what is 'N' for the horizontal line from the centre of small wheel always is horizontal.
2) 1 2 3 4
+ 3 4 5 5
----------
4 6 8 9
- 2 3 4 5
----------
2 3 4 4
+ 1 2 5 4
------------
3 6 9 8
Strike off any digit from each number in seven rows (need not be at same place) and combine the same operations with 3 digit numbers to get the same addition. After this strike off another digit from all and add all the No.s to get the same 2 digit No. perform the same process again with 1 digit No.s. Give the ' no.s in 7 rows at each stage.
3) There is a safe with a 5 digit No. The 4th digit is 4 greater than second digit, while 3rd digit is 3 less than 2nd digit. The 1st digit is thrice the last digit. There are 3 pairs whose sum is 11. Find the number.
Ans. 65292.
4) There are 2 guards Bal and Pal walking on the side of a wall of a wearhouse(12m X 11m) in opposite directions. They meet at a point and Bal says to Pal " See you again in the other side". After a few moments
of walking Bal decides to go back for a smoke but he changes his direction again to his previous one after 10 minutes of walking in the other (opposite) direction remembering that Pal will be waiting for to meet. If Bal and Pal walk 8 and 11 feet respectively, how much distance they would have travelled before meeting again.
5) xxx)xxxxx(xxx
3xx
-------
xxx
x3x
------
xxx
3xx
------
Find the 5 digit No. Hint: 5 is used at least once in the calculation.
6) A fly is there 1 feet below the ceiling right across a wall length is 30m at equal distance from both the ends. There is a spider 1 feet above floor right across the long wall equidistant from both the ends. If the width of the room is 12m and 12m, what distance is to be travelled by the spider to catch the fly? if it takes the shortest path.
7) Ramesh sit around a round table with some other men. He has one rupee more than his right person and this person in turn has 1 rupee more than the person to his right and so on, Ramesh decided to give 1 rupee to his right & he in turn 2 rupees to his right and 3 rupees to his right & so on. This process went on till a person has 'no money' to give to his right. At this time he has 4 times the money to his right person. How many men are there along with Ramesh and what is the money with poorest fellow.
8) Question related to probabilities of removing the red ball from a basket, Given that two balls are removed from the basket and the other ball is red. The basket contains blue, red, yellow balls.
9) Venkat has 1boy & 2 daughters.The product of these children age is 72. The sum of their ages give the door number of Venkat. Boy is elder of three. Can you tell the ages of all the three.
