1. Find out the sum of all the numbers up to four digit made by 1, 2, 3 and 4 (repetition are allowed)
E.g. 1+2+3+4+11+12+13+14+21+22+23+24+ …+4441+4442+4443+4444? (MARKS: 3/4/5)
2. A grass field of 120-sq. meter bounded by a equilateral triangular compound. Three goats tied up with ropes that can just touch the opposite line. A goat can eat all grass which it only gets, half of that two can eat , and one third of that three can eat. How much a goat can eat? (Mark 2) ans.: one-third i.e. 40-sq meter.
3. There are 100 bulbs and 100 switches.
i. All bulbs are switched on.
ii. All bulbs divided by two are switched on if off and switched off if on.
iii. ,, ,, ,, ,, three –do-
iv. This continues upto 100 i.e. at last the bulb dived by 100 is switched on if off and off if on.
How many bulbs wiil be in on condition after this? (Marks: 4/5)
5. When a boy is asked abt his age he said I’m 2.5 times the age of my sis now.Last yr.Iwas 3 times the age of hers.2 yrs. before Iwas 4 times her age .Before 3 yrs. I was7 times her age .Find out age of both.
(Marks:4 )Ans:10, 4
6. In a apartment there are some families.
i) No. of children > No.of Boys>No.of Girls>No.of families
ii) Every family has children
iii) A Girl has at least one Brother and at most one Sis
iv) Children of one family > Sum (Children of all other families)
Find out no. of families ,boys ,girls
7. Someone says to A,B,C,”I’ve a horse and his color is either Black,Brown,Grey.”
A says it’s not Black
B says it’s either Brown or Grey
C says it’s Brown
The person said among you one is correct and one is wrong .
Find out the color of the horse .Ans:color is Grey;B is correct and C is wrong.Mark:2
8. There are 2 systems for temperature measurement A,B.
System A System B
Find out the temp.when A=B.Ans.52.5 degree
Soln:Take 2 consts.A,B.
A+19B=33 and A+133B=87. Find Out A,B.Final eqn A+Bt=t.
9.A Sultan has 3 Queens Amina ,Fatin,Safie.Three thieves Abu,Kirsha,Badri stole 3 Jewels from these three
Queens.Three jewels are Dimond ,Emerald,Ruby
i) The Dimond thief is a bachelore and the dangerous among the three thieves.
ii) Amina is younger to one who has Emerald.
iii) Abu’s brother in law Kirsha is less dangerous than who take Emerald .
iv) Badri has not stolen fromFatin(not sure sbt this stmnt)
Who has which jewels and who theft which? Mark:8
Ans:Abu —Emerald(from Fatin)
Kirsh—-Ruby (from Amina)
Badri—-Dimond (from Safie)
10. There is a circle whose diameter is equal to the length of a chess board . If that is put on the chessboard how many complete squares will be in the circle.
Ans.: It can be done both by calculation and graphical method.
Answer is 32. Draw a square inside the circle.
No: of square (area of inner square)/(area of single square of chess)
11. There is an idler and a devil. The devil said to the idler “cross the bridge and your money will be doubled. But you have to give 24$ to me every time you cross.” The idler did so. First time he crossed he find his money doubled and gave 24$ to the devil. He did so for the second time. When he crossed the bridge for the third time he found his total money equal to 24$ and has to give all to the devil. How much did he have at first?
Ans.: 21$. Start from the last and go backward.
12. There is train moving at some speed (say x km/h). A person is also moving at some speed (2 km/h) towards certain direction either same as the train or opposite to that of the train. Find out how much time will it take for the train to cross the person?
13. Mathematician and children problem. Ans.: 6,6,1 years.
1 . There are 4 political parties . Day Flight , Eat well , Good Sleep =
Deposit Loss. The 3 statements are
a. Either Day Flight or Eat Well will win the election.
b. Day Flight cannot win election.
c. Neither Deposit Loss nor Eat well can win the election.
Only one statement is true while other two are false .who win the = election =85
Soln : Deposit Loss ( F T F )
2. Javed , Roshan , Bharati and Sheela are supposed to have won prizes =
in math , French , Logic , and Eng. But its not clear who won what.
a. Sheela guessed that Roshan must have won logic.
b. Roshan guessed that Sheela will never win Math. =20
c. Javed guessed that Bharati has won French.
d. Bharati guessed Javed has got Eng.
Of those guesses the winners of Math and logic prizes guessed correctly =
while other two guessed wrong. Who won which prize.
Soln Sheela —-English.
3. there are 10 cig packs each conatining an unknown no of cigs( each =
pack has between 50 and 100). One pack has all bad cigs . Each good cig =
( if u can agree that any cig is good) weighs 1gm. Each bad cig weighs =
1.1 gm or .99 gm but all bad cigs weigh same. Using a spring chemical =
balance ( which gives u the exactweight) .Find out which pack is bad , =
using the balace only once.
4. 24 apples were divided among 3 brothers . Each of them got the same =
no of apples as their age 3 years ago. The youngest of them kept half =
of his share and divided the rest of them equally between other two. =
Other two did the same thing. They all ended up with 8 apples each . =
Determine their ages.
Ans 7 , 10 , 16.
5. a city is divided into 16 blocks with rows passing betwwen them =
Find the no of ways one can move from A and C. ( if u can only move =
upwards and to the right. Different paths may have common routes in =
ans 8 C 4 =3D 70.
6. A is murdered And the statements given by B , C , D are
B – I am a lawyer.
I haven’t killed.
C – I am a layer
I haven’t killed.
D- I am not a lawyer.
A lawyer is a murderer.
Out of these 6 2 are are correct and two of them lawyer.
Ans . first 2 are Truth . Last four are false . c has killed.
7 . Baron’s guide problem colur prob.
7 C E E=20
T E S S
9 9 9 9
8. From the north pole a flight takes up with full capacity of fuel =
It can travel half of the globe. You canchange fuel and do whatever =
you like in air. How many minimum flights will be reqd travel the =
earth once through south pole.
9. Every day a cyclist meets a train at a particular crossing . The =
road is straight. The cyclist travels with a speed of 10 kmph . one day =
the cyclist comes late by 25 min and meets the train 5 km from the =
crossing. What is the speed of the train?
Ans assume that the man and the train normally meet at the crossing =
at 8 a.m . he is 5 km behind at 7.30 . But when the cyclist is late he =
arrives at the crossing at 8.25 and therefore 5 km behind at 7.55 am =
. Since the train takes 5 min to travel 5 km , the speed of the train =
is 60 kmph.
10.A frog starts climbing a 30 ft wall.Each hr he climbs 3 ft and slips back 2. How many days does it
take him to reach the top and get out ?
At the end of 27 hrs hes 3ft from the top. And during the 28th hr he climbs the remaining 3ft
And hes out. So 28 hrs (shankuntala Devis more puzzles to puzzle u, 197th question).
11. A truck and a car are moving in the same direction at 40 and 60km/hr respectively. Truck was 1500 m Ahead of the car at the start. After some time they both crash. What was distance one minute b4 the Crash.
Convert them into m/sec and do it. The figures 40 and 60 hes not sure.
Suppose one is 15m/s another is 10m/s.
So in one sec car covers 5m.
For 1500m it will take 300s =5 min.
One min b4 I: e 4min I; e 240 sec … it will cover 240 * 5 = 1200.
So the distance b/w them is 300. THE FIGURES ARE NOT THE SAME. It’s been just an example.
12. Professor Kittredge’s literature seminar includes students with varied tastes in poetry. All those in the seminar who enjoy the poetry of browning also enjoy the poetry of Eliot. Those who enjoy the poetry of Eliot despise the poetry of colridge.
Some of those who enjoy the poetry of Eliot also enjoy the poetry of Auden.
All those who enjoy the poetry of Coleridge also enjoy the poetry of Donne.
Some of those who enjoy the poetry of donne also enjoy the poetry of Eliot.
Some of those who enjoy the poetry of auden despise the poetry of cleridge
All those who enjoy the poetry of donne also enjoy the poetry of frost.
1. Miss garfield enjoys the poetry of donne. Which of the following must be true?
A) she may or may not enjoy the poetry of coleridge.
B) She doesn’t enjoy the poetry of bropwning.
C) She enjoys the poetry of auden.
D) She doesnot enjoy the poetry of eliot.
E) She enjoys the poetry of coleridge.
2. Mr. Huxtable enjoys the poetry of browning. He may also enjoy any of the following poets except
3) Miss inaguchi enjoys the poetry of coleridge. Which of the fllwing must be false?
A) she doesnot enjoy the poetry of auden.
B) She enjoys the poetry of donne.
C) She enjoys the poetry of frost.
D) She doesnot enjoy the poetry of browning.
E) She may enjoy the poetry of eliot.
4) Based on the info provide, which of the following stmnts concerning the members of the seminar must be true?
a) all those who enjoy the poetry of eliot also enjoy the poetry of browning.
b) None of those who despise the poetry of frost enjoy the poetry of auden.
c) Some of those who enjoy the poetry of auden des-ise the poetry of coleridge.
d) None of those who enjoy the poetry of browning despise the poetry of donne.
e) Some of those who enjoy the poetry of frost despise the poetry of donne.
13) The person meets one train at the crossing every day.
One day hes 20 min late . He meets the train 5 miles from the place If the speed of the man is 12 mile/hr
What is trains speed.
Ans 53)*****(971 I think this is the ans so that u can find the rest. Any way check it out again.
1.An escalator is descending at constant speed.
Ans: 150 steps
Ans: 60 kmph
Ans: Kumar Misra Dev
a) 1. No of persons who speak false being less than no of persons who tells the truth.
b) 1. no of persong telling the truth is greater than no of persons telling lies
2. A can win by proper play if N is equal to
3. B can win by proper play if N is equal to
4. if N<4, can A win by proper play always?
11. Mrs. Jones, Mrs. Davis and Mrs. Smith are Friends. Their first names are Mary, Helen and Dorothy though not in order. All three of them go on shopping, where Marry spends twice of what Helen spent and Helen spends thrice of what Dorothy Spends. Mrs. Davis spends 3.85 more than Mrs. Smith. Identify the Families of these three women.
1) A man collects cigarette stubs and makes one full cigarette with every 8 stubs.
2) A soldier looses his way in a thick jungle. At random he 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.
Ans: Distance travelled in north and south directions
Ans: 2 power 9 x 5 power 9
Ans 1,6 and 6
Ans : 383 + 1 = 384
7) A person with some money spends1/3 for cloths, 1/5 of the remaining for food and 1/4 of the remaining for travel.
Ans: Rs 250/-
Ans: Total no of balls = 89 and (89-29 /2) = 60/2 = 30
Ans : 2.
Ans : 20
11. From a vessel, 1/3rd of the liquid evaporates on the first day.
12. An orange glass has orange juice and white glass has apple juice both of equal volumes.
Ans: The two quantities are equal
13. There is a 4 inch cube painted on all sides.
14. Sam and Mala have a conversation.
All the statements by the two are false.
Ans: Mala = 38 yrs
16. In a railway station, there are two trains going.
17. A family X went for a vacation.
18. A survey was taken among 100 people to find their preference of watching T.V. programmes.
Find the no of people who watched all three.
19. Albert and Fernandes have two leg swimming race.
20. Each alphabet stands for one digit in the following multiplication.
T H I S
What is the maximum value T can take?
Ans: T max value = 4
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. Find the values of each of the alphabets.
N O O N
S O O N
+ M O O N
J U N E
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
Let the distance between two poles = x
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
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
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. he distribution was such that everyone recieved a whole number of Rupees. How much did each person recieve?
Ans. Rs 2
(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.
A: Yellow or Green
B: Neither Blue nor Green
C: Blue or Yellow
D: Blue or Yellow
8. 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)
9. 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
10. 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.
Distance travelled by plane = 1/10 distance travelled by ship + 180
11. Complete the Table given below:
Three football teams are there. Given below is the group table. Fill in the x’s
|Played||Won||Lost||Draw||Goals For||Goals Against|
Ans: The filled table is given below
|Played||Won||Lost||Draw||Goals For||Goals Against|
12. 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
13. 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)
14. 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).
15. 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
16. 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
17. 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?
1. 2 Marks
When Arthur is as old as his father Hailey is now, he shall be 5 times as old as his son Clarke is now. By then, Clarke will be 8 times older than Arthur is now. The combined ages of Hailey and Arthur are 100 years. How old is Clarke ?
2. 2 Marks
I have one orange glass containing orange juice and another white glass containing apple juice. I take 50 ml of orange juice and mix it with apple juice in the white glass. Then I take 50 ml of this mixture and transfer it back to the orange glass. If you compare amount of apple juice in the orange glass and
amount of orange juice in the white glass which is more than the other
and by how much ?
3. 3 Marks
The seven digits in this subtraction problem are 0,1,2,3,4,5 and 6.
Each letter represents the same digit whenever it occurs.
D A D C B
E B E G
B F E G
What digit is represented by each letter ?
4. 4 Marks
The Jones have named their four boys after favourite relatives; their friends, the Smiths, have done the same thing with their three boys. One of the families has twin boys. From the following clues, can you determine the families of all seven children and their ages ?
i) Valantine is 4 years older than his twin brothers.
ii) Winston, who is 8, and Benedict are not brothers. They are each named after a grandfather.
iii) Briscoe is two years younger than his brother Hamilton, But three years older than Dewey.
iv) Decatur is 10 years old.
v) Benedict is 3 years younger than Valentine; they are not related.
vi) The twins are named for uncles.
5. 4 Marks
Motorboat A leaves shore P as B leaves Q; they move across the lake at a constant speed. They meet first time 600 yards from P. Each returns from the opposite shore without halting, and they meet 200 yards from Q. How long is the lake ?
6. 4 Marks
Fanta, Pepsi and Citra often eat dinner out.
a) Each orders either coffee or tea after dinner.
b) If Fanta orders coffee, then Pepsi orders the drink that Citra orders.
c) If Pepsi orders coffee, then Fanta orders the drink that Citra does not order.
d) If Citra orders tea, then Fanta orders the drink that Pepsi orders.
Which person/persons always orders the same drink after dinner ?
7. 6 Marks
On the Island of imperfection there is a special road, Logic Lane, on which the houses are usually reserved for the more mathematical inhabitants.
Add, Divide and Even live in three different houses on this road (which has houses numbered from 1-50). One of them is a member of the Pukka Tribe,
who always tell the truth; another is a member of the Wotta Tribe, who never
tell the truth; and the third is a member of the Shalla Tribe, who make statements which are alternately true and false, or false and true.
They make statements as follows :
1 The number of my house is greater than that of Divide’s.
2 My number is divisible by 4.
3 Even’s number differs by 13 from that of one of the others.
1 Add’s number is divisible by 12.
2 My number is 37.
3 Even’s number is even.
1 No one’s number is divisible by 10.
2 My number is 30.
3 Add’s number is divisible by 3.
Find to which tribe each of them belongs, and the number of each of their houses.
8. 8 Marks
The names of the inhabitants of Walkie Talkie Land sound strange to the visitors, and they find it difficult to pronounce them, due to their length and a few vowel sounds they contain. The Walkie Talkie guide is discussing the names of four inhabitants – A,B,C and D. Their names each contain upto eight syllables, although none of the four names contain the same number. Two of the names contain no vowel sounds; one contains one vowel sound; and one contains two vowel sounds. From the Guide’s statements below, determine the number of
syllables and vowel sounds in each of the four Walkie Talkie names :
i) The one whose name contains two vowel sounds is not A.
ii) C’s name does not contain more than one vowel sound or fewer than seven syllables.
iii)The name with seven syllables does not contain exactly one vowel sound.
iv) B and C do not have names with the same number of vowel sounds.
v) Neither the name with five syllables nor the name with seven syllables
contains more than one vowel sound.
vi) Neither the name with six syllables, nor the B’s name, contains two vowel sounds.
10. 8 Marks
Two identical twins have a very unusual characteristic. One tells nothing but lies on Mondays, Wednesdays and Fridays, and tells nothing but the truth all other days. The other tells nothing but lies on Tuesdays, Thursdays and Saturdays, and tells nothing but the truth all other days. On Sundays both children speak the truth.
1) Which of the following statements can be deduced from the information presented ?
i) If it is Sunday, the twins will both say so.
ii) If it is not Sunday,one twin will give the correct day and the other will lie about everything.
iii)On any given day, only one twin will give his correct name.
a) i only
b) i and ii only
c) i and iii only
d) ii and iii only
e) i,ii and iii
2) According to the information presented, which of the following
conversations will be impossible.
a) Twin A : “Today you are a lier”
Twin B : “You are telling the truth”
b) Twin A : “Today you are a lier”
Twin B : “Today I am a truthteller”
c) Twin A : “Tommorow I shall be a lier”
Twin B : “That’s correct”
d) Twin A : “Tommorow you will be a lier”
Twin B : “Today you are a truthteller”
e) Twin A : “Yesterday we were both truthtellers”
Twin B : “You are lying”
3) Assume that the twins followed a different set of rules, so that on a given day both told only the truth while next day both only lied, alternating days of truth telling and lying. Under these rules,which
of the following conversations would be possible ?
a) Twin A : “Today you are a lier”
Twin B : “That is correct”
b) Twin A : “Today you are a lier”
Twin B : “That is not so”
c) Twin A : “Tommorow we will be liers”
Twin B : “Yesterday we were truthtellers”
d) Twin A : “Tommorow we will be liers”
Twin B : “You are 1 year older than I am”
e) Twin A : “We always tell the truth”
Twin B : “We some times tell the truth”
4) If the twins are heard saying the following on the same day, which choice presents a correct statement ?
Twin A : “It is Sunday Today”
Twin B : “Yesterday was Sunday”
Twin A : “it is summer season now”
a) it is a summer sunday
b) it is a summer monday
c) it is Monday but not summer
d) it is Sunday but not summer
e) it is impossible to determine whether it is Sunday or Monday.