36. 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

sol: E=2

N=8

0=1

T=7

**************************************************************

37. 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?

sol: 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. Thedoctor didn't speak, but David did,

so Bobbie is the

doctor and Dave the chemist.

**************************************************************

38. 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).

sol: Time of shooting = 11:54 PM

Claimed Time = 10:59 PM

**************************************************************

39. Next number in the series is 1 , 2 , 4 , 13 , 31 , 112 , ?

sol: 224.

given series is the "base 5 conversion" of series of numbers

1,2,4,8,16,32, . . .

64 base 5=224

40. Supposing a clock takes 7 seconds to strike 7. How mlong will it take to

strike 10?

Sol: At 7'0 clock it takes 7 seconds.

so for 6 strikes it takes 7 seconds ( the first strike is ignored b'coz

starting indicated by first strike)

6 strike = 7 seconds

1 strike = 7/6 sec

so at 10 '0 clock there are 9 strikes

so it will take

7/6 *9 = 63/6 = 10.5 seconds

**************************************************************

41. 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?

Sol: Only 0 1 6 8 and 9 can be read upside down. So on rearranging these digits

we get the answer

as 10968

**************************************************************

42.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.

sol: in the morning sharukh speaks truth so he wont tell that B is

sharukh

at the same time salman lies so he cant tell that b is sharukh

so that time must be "Afternoon".

in Afternoon

sharukh lies…so sharukh(A) can say that salman(B) is sharukh;

and also

salman speaks truth in the afternoon…so

salman(A) can say that sharukh(B) is sharukh.

so A may be salman or sharukh.

**************************************************************

43. 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?

sol:

a bit tough … solve it… friend.

**************************************************************

44. 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.

sol: 2, 5,1,3,6,4

**************************************************************

45. ) 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.

sol: let the 5 digit number be "a b c d e"

form the given constaints we can re write the number as

"a b b-3 b+4 a/3″

for b=5 and a=6 we r getting 3 pairs whose sum is 11.

so answer is 65292

**************************************************************

46. Venkat has 1boy&2daughters.The product of these children age is 72.The sum

of their ages give

the door numberof Venkat.Boy is elder of three.Can you tell the ages of all the

three.

sol: let a,b,c be the ages of boy,girl1,girl2.

since boy is elder

a>b>c and a*b*c=72

by hit and trial……we get 6, 4 , 3 && 9 , 8 , 1 as their ages

**************************************************************

47. There is a robery and four persons are suspected out of them one is actual

thief, these are the

senteces said by each one of them!

A says D had done

B says A had done

C says i dddnt done

D B lied when he said that i am thief

out of these only one man is true remaining are false

sol: C is theif and D is true

**************************************************************

48. how many four digit numbers divisible by four can be formed using

1,2,3,4;repetions are not

allowed! Ans: 6

Sol: Number to be divisible by 4 means the last two digits must be divisible by

4. so the numbers are

4312 , 3412 , 1324 , 3124 , 1432 , 4132.

**************************************************************

49. Two employs were there emp1 says to emp2 that your work experience is

twice as me .

emp2: exactly

emp1: but two years before you said that your work experience is thrice as me

emp2: yes it is also true.

what are their work experience

sol: 4,8

**************************************************************

50. In the month of october in a year has exactly four mondays and four fridays,

find what day of

week wiil be on the 20th of November of that year.

sol: 20th November was a wednesday.

**************************************************************

51. T,U,V are 3 friends digging groups in fields. If T&U can complete i groove

in 4 days,U&V can

complete 1 groove in 3 days,V&T can complete in 2 days Find how many days each

takes to

complete 1 groove individually.

sol : (T&U)'s 1 day work = 1/4;

(U&V)'s 1 day work = 1/3;

(V&T)'s 1 day work = 1/2;

Adding we get,

2(T+U+V) = (1/4 + 1/3 + 1/2)

= 13/12

(T + U + V)'s 1 day work = 13/24

U's 1 day work = (T + U + V) – (T + V)

= 13/24 – 1/2

= (13 – 12)/24

= 1/24

so U will take 24 days to complete the work

simillarly find other's too.

**************************************************************

52. a mathematician has x apples .if he arranges them in rows of 3 one will be

left.the same is the

case with 5,7,9 apples.But when he arranged them in rows of 11 non will be

left.Find the no.of apples

sol: 946

53.A boy picks up the phone and asks" who are you?" The voice from the other

side answers" I am

your mother's mother in law".What is the relation of the boy with the fellow

speaking at the other end.

sol: Grand Mother

**************************************************************

54. 2 persons are doing part time job in a company say a and b. THe company is

open for all the 7

days of the week.'A' works every second day.'B' works every 3rd day.If 'A'works

on 1st june and 'B'

works on 2nd june.Find out the date on which both 'A' and 'B' will work

together.

Ans: 5th June.

**************************************************************

55. Consider a pile of Diamonds on a table.A thief enters and steals 1/2 of the

total quantity and then

again 2 extra from the remaining. After some time a second thief enters and

steals 1/2 of the

remaining+2. Then 3rd thief enters and steals 1/2 of the remaining+2.Then 4th

thief enters and steals

1/2 of the remaining+2.When the 5th one enters he finds 1 diamond on the

table.Find out the total

no. of diamonds originally on the table before the 1st thief entered.

sol: Let X be the number of diamonds on the table

after the theft of 1st theft remaining is x/2-2;

after the theft of 2nd theft remaining is 1/2[x/2-2]-2;

after the theft of 3rd theft remaining is 1/2[1/2(x/2-2)-2]-2;

after the theft of 4th theft remaining is 1/2 [1/2[1/2(x/2-2)-

2]-2]-2;

given that 1/2 [1/2[1/2(x/2-2)-2]-2]-2 =1

(x-60)/16=1

x=76

**************************************************************

56. Imagine 4 persons A,B,C,D.(It is a strength determining game). A found it

hard, but could pull 'c'

and 'd' to his side. AC and BD pairs on opposite sides found themselves equally

balanced. When A

and B exchanged thier positions to form pairs AD and BC ,BC pair could win and

pull AD to thier

side.Order the 4 persons in Ascending order according to their strengths.

sol: D<C<A<B.

**************************************************************

57. Find a five digit number subject to following conditions

a. It contains 2 prime no digits

b. 3 rd digit is the largest

c. 1st digit = (3 rd digit – 1)

d. sum of 4 th digit and 5 th digit is less than 1 st digit and

e. Value of the 5 th digit lies between the value of 1 st digit and 2 nddigit, 5

th digit is one half of the 4

th digit.

sol: 71842

**************************************************************

58. A merchant in the last day sells 2 lamps for Rs.12 each. He finds that he

has got 25 % gain on

one and 20% lost on the other. Did he loose or gain overall? If so how much?

sol: Selling price of both the lamp is 12 each.

Cost price of 1st lamp on which he gain 25% is

100/125 * 12 = 9.6

so gain is = 12 – 9.6 = Rs. 2.4

Cost price of 2nd lamp on which he loss 20% is

100/80 * 12 = 15

so loss is = 15 – 12 = Rs. 3

So Total loss is 60 paise.

**************************************************************

59. 4 persons are there caledd JOHN, JACOB, PITER, and WILLIAMS 4 laungages

are there named ENGLISH, ITALIAN, GERMAN, FRENCH

CONDITIONS:

a. There is no common language for all

b. Except one language, no language is spoken by more than two

c. One can know either German or FRENCH but not both

d. John can't speak ENGLISH But John can act as interpreter between JACOB and

PITER. Jacob knows GERMAN but he can tailk with WILLIAM who doesn't know a word

of GERMAN

e. No common language between JOHN, PITER, and WILLIAMS

Which two languages does each person speaks? (8 marks)

hint: ITALIAN IS SPOKEN BY THREE PERSONS( This hint is given in Question paper)

sol: This question repeated in july'2005 also.

John ——> Italian French

Jacob —–> German Italian

Piter ——> French English

William —> Italian English

**************************************************************

60. Tthere were three suspects for a robbery that happend in a bank, tommy, joy

and bruceEach of

them were saying that I haven't done anything and the other two has done

it.police found that tommy

was lying .who is the thief.

sol: Tommy

**************************************************************

61. Three clocks where set to true time .First run with the exact time .second

slows one minute/day.

third gains one minute/day. after how many days they will show true time.

sol: 12 hours=12(60 minuts)= 12(60 days)=720 days (not sure)

**************************************************************

63. x,y,z are different digits.find them using the following addition

x y z

x z y

—–

z y x

—–

sol: x=4, y=5, z=9;

**************************************************************

64. x**(1/3) – x**(1/9) = 60 note: ** is power of symbol find x?

sol: 4**9. or 64*64*64 both ans are same.

**************************************************************

65. one person chooses a number between 1 – 1000 including 1 and 1000. Then

other person

chooses a number from same limit. then what is the probability that other person

chooses the number

less than first one.

sol:999/2000 =0.4995

**************************************************************

66. 51 teams are there and they are to play basketball matches. A team is out of

the tournament if

that looses 2 games. what is the maximum number of games to be played to decide

one winner.

sol: given that a team is out ..if it looses 2 matches

so..we have 1 winner and runner-up… only 2 teams at the end…

implies …remaining 49 teams each played 2 games and lost…so 49*2=98

now our runner_up might have lost one game to the other team…so 98+1.

again there is a chance for our winner to loose 1 match to the other team

…so 99+1

and the last is the match which deside the winner..so 100+1

there fore 101 matches shoulb be played

**************************************************************

67. Two persons A and B met. A told B " myself and my 3 cousins have ages which

are prime

numbers and sum of our ages is 50. If you know my age then you can tell their

ages. what are the

ages of cousins?"

sol: 11,13,7 and myself is 19

a) 3,2,2 and myself is 43

b) 13 , 5 , 3 & 29

c) 3,5,5 & 37 etc.

**************************************************************

68. Both the guptas and sinhas have two young sons whose ages are under eleven.

The names of

the boys, whose ages roundedoff to the nearest year are all different, are

rajesh, praveen, lalith and

prathap. taking the ages of the boys only to the nearest year, the following

statements are true

1) rajesh is 3 years younger than his brother is

2) praveen is the oldest

3) prathap is 5 years older than the younger sinhas boy.

4) lalith is half as old as one of the gupta boys.

5) the total ages of the boys in each family differ by the same amount today as

they did five years ago.

sol: Gupta Sinha

Pratap=10 Praveen=11

Rajesh=7 Lalit=5

/* for moe info gothrough "george summer's puzzles" */

69. Mr. x (got paramvir chakra in 1971) died when his age was 1/59th the year of

birth.what was his

date of birth?

sol: given that he got param veer chakra in 1971

so he might have died at 1971( iam assuming it. iam not sure)

given that he died at the age of (1/59) of his birth yr.

there fore

1971-(birth yr) = (1/59)birth yr

birth yr=1971*59/60

i.e 1938 at the age of 33.

**************************************************************

70. A & B two places. C & D are two people.c started from a and d started from

b. when they meet

each other in the way c traveled 18m more than d. than c takes 13 and half a

minute and d takes 24

minutes to reach the other end.what was the distance between a & b.

sol : 126

**************************************************************

71. The profit made by a company in one year is enough to give 6% return on all

shares.but as the

preffered shares get on return of 7.5%, so the ordinary shares got on return of

5%.if the value of

preferd shares is rs-4,000000, then what is the value of ordinary shares?

sol: 6,000000.

**************************************************************

72. There is a 18 strong building and 4 people live in it. they are dentist,

lawyer, accountant,

architect.(i am giving only a part of the question)

–dentist floor is 5 times the lawyer' floor.

–account is below dentist.

–if archetect moves two floors up he will be midway between dentist and

account.

—if architect moves to midway of the building (9th floor) then he will be

middle of dentist & lawyer.

—ground floor can be ignored i.e. floor 0.

sol: dentist 15.

accountant 13.

archetect–12.

lawyer– 3.

**************************************************************

73. what are the number of zero's after multiplicating numbers from 1 to 100.

sol : 142.

**************************************************************

77. A person Buy some clothes from wholesale at some discount and think when

will he sale it at

retail price he get 40% profit.But some how after selling whole clothes he feel

that he get 39% lose.

After searching the reason he came to know his Weight metter ( clothe meter) is

not proper .Can you

tell we How much meter weight and is it more or less from normal.

sol: let the cost price per 1 metre be 1 rupee

and let he bought 100 mts for 100 rupees.

selling price is 140% of cost price(since 40 % profit..given) =>1.4

rupee

but he got 39% loss…..i.e 61% of (100) =>61 rupee ,he got by

selling 100 metres at 1.4 per metre

so he sold only 61/1.4 metres ==43.571 instead of selling 100 metres

because of his faulty metre..

100/(1+x) =43.571

x=1.29

his metre size is 2.29 mtres..(check it out ).

*****somebody gave me different answer… .975 extra in per meter ( 100.975 C.M

weight in one time)

please check it out.

**************************************************************

78. Two boys A and B work as a part time in a shop A works every after 2 days

while B Works every

after 3 days,A start working at 1 June Thursday while B start working at 2 June

Wednesday Can you

tell in which date of month they work together.

sol: 10 June Thursday they work together [ after 2 days from 1 June means

next at 4 June not in 3 June similarly for other]

**************************************************************

79. A car is travelling at uniform speed.The driver sees a milestone showing a

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 containg the same two digits what is the average speed of the driver.

sol: 45 Kmph (16 , 61 , 106)

**************************************************************

80. Jonty went for movie with his family but at ticket window a lot of rush

present so he was getting

upset,then his father told him I am giving you a puzzle for you ,so that your

time pass properly, he

was agree then his father told him here lines of people at every after third man

there was a kid ,but

number of man and women is three times to the number of kids , Total people

value lies between 800

to 1000.Can you tell me number of kids and number of adult.

sol: 300 kids and 600 adult (Check it Out)

**************************************************************

82. During a party 12 guests were there and each clinked his glasses with the

other.How many clinks

were heard totally?

sol: 11+10+9+8+7+6+5+4+3+2+1=66

**************************************************************

87. . Find the values of each of the alphabets.

N O O N

S O O N

+ M O O N

———-

J U N E

sol: n=4

0=1

u=3

m=0

s=5

j=9

e=2

**************************************************************

88. 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.

sol:

Let the distance between two poles = x

Hence 11x:24::19x:?

x=41.45 seconds

**************************************************************

89. 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?

sol: Gains; 5/11 minutes

**************************************************************

90. 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.The

distribution was such

that everyone recieved a whole number of Rupees. How much did each person

recieve?

sol. Rs 2 (Hint: Ram's sister, Shyam's neice and Gumnaam's wife are the same

person).

**************************************************************

91. 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.

sol: for 5 ticks it took 30 sec

for 11 tics ?

=11*30/5 =66

**************************************************************

92. 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.

Soln: Initially . x x x

Now x-4, x-4, x-4

3x-12 = x

x=6

there fore 18 bullets.

**************************************************************

93. A ship went on a voyage. After it had travelled 180 miles a plane started

with 10 times the speed

of the ship. Find the distance when they meet from starting point.

sol: 200 miles.

Distance travelled by plane = 1/10 distance travelled by ship + 180

**************************************************************

95. 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

Soln: for N stations Nc2 i.e N(N-1) tickets required

===>N(N-1)=t

After adding x stations,

(N+X)(N+X-1) = t+46

solve it By trail and error method

**************************************************************

96. 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 completely 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.

sol: B – (May 10) SUNDAY

C – June 6 (Friday).

**************************************************************

97. 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 came it 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.

sol: Sujith; Lakers

**************************************************************

98. Fifty minutes ago if it was four times as many minutes past three o'clock,

how many minutes is it

to six o'clock?

sol: Twenty six minute [refer shakunthala devi puzzles].

**************************************************************

99. 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?

sol: The minimum number is 5 and they should weigh 1,3,9,27 and 81 kgs.

**************************************************************