Aptitude 16

1)      An unscrupulous trader decided to make some extra profit on coffee. He bought one type of coffee powder at Rs. 32 a kilo and mixed some of it with a better quality of coffee powder bought at Rs 40 a kilo, and he sold the blend at Rs. 43 a kilo, that gave him a profit of 25 per cent on the cost. How many kilos of each kind must he use to make a blend of a hundred kilos weight?

2)      Two unemployed young men decided to start a business together. They
pooled in their savings, which came to Rs. 2000. They were both able to increase their capital by 50 per cent every three years. How much did they have in all at the end of eighteen years?

3)      A beautiful maiden with beaming eyes asks me which is the number  that, multiplied by 3, then increased by three-fourths of the product, divided by 7, diminished by one-third of the quotient, multiplied by itself, diminished by 52, the square root found, addition of 8, division by 10 gives the number 2?

4)      Three farmers paid Rs. 1,000 for a small pasture. One farmer grazed his 9 mules, another his 12 cows for twice the time and last man put in some goats for 21/2 times as the second man's cows and paid half the cost of the pasture. can you find out how many goats did the last man have, if 6 cows eat as much as 4 mules, and 10 goats as much as 3 cows? And how much did the first and second man each pay?

5)      If a salesman's average is a new order every other week, he will break the office record of the year. However, after 28 weeks, he is six orders behind schedule.  In what proportion of the remaining weeks does he have to obtain a new order to break the record?

6)      At the fair, I bought 6 Pineapples and Two Jackfruits for Rs 15/-. If I could have bought four more pineapples for Rs 14/- than jackfruits for Rs 9/-, what would be the price of each?

7)      There are three types of birds A, B & C. A costs 5pounds, B costs 3 Pounds and C costs 1/3 of a pound. Find the no. of A, B &C such that u will get 100 birds for 100 pounds.

8)      A father is talking with his son about his fat's age. He said that "My father was X years at the X power 2 year. “ "Don't confuse boy, it was 20th century". What is the year, boy's Grand Father was born?

9)      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?

10)  Complete the series: 0, 2, 4, 6, 8, 12, 12, 20, 16, ____

11)  Complete the series:  5, 20, 24, 6, 2, 8 ?

12)  There are 5 persons A, B, C, D, and E. All of them have different occupations and none of them are of same age. There professions are Consultant, Planner, Engineer, Nutritionist and Technician definitely not in the same order. From the following conditions determine whose profession is what?

a.       The consultant is the oldest among them.

b.      The Technician is not younger than the Planner and the Planner is not younger than the Nutritionist.

c.       D is not as old as A and also not as young as B, who is not as old as the Engineer and also not as young as C.

d.      C is not the youngest among them.

13)  4 persons, Watts, Roger, O’neil and Smith, were eating in a restaurant while Smith was killed by poisoning. During investigation the other 3 persons gave the following statements. They gave one false statement each.

a) Watts :            i) I didn’t do it.

ii) O’neil sat beside me.

iii) We had our usual waiter.

b) Roger :            i) Smith was across the table from me.

ii) We had a new waiter.

iii) The waiter didn’t do it.

c)O’neil :          i) Roger didn’t do it.

ii) The waiter has poisoned Smith.

iii) Watts lied when he said that we had our usual waiter.

One among these three persons and the waiter murdered Smith. Who is the murderer?

14)  With the digits 1,2,3,4,5,6 make all 6 digit numbers which are  not divisible by 5. The no of such 6 digit numbers is?

15)  A tin of oil was 4/5th full. When 6 bottles of oil were taken out and 4 bottles of oil were poured into it, it was 3/4th full. How many bottles of oil can the tin contain?

16)  Sum of all 5 digit numbers formed using 1,3,5,7,9.

17)  Three men - Sam, Cam and Laurie - are married to Carrie, Billy and Tina, but not necessarily in the same order.

·  Sam's wife and Billy's Husband play Carrie and Tina's husband at bridge.

No wife partners her husband and Cam does not play bridge.

Who is married to Cam?

18)  A number of 9 digits has the following properties:

·  The number comprising the leftmost two digits is divisible by 2, that

comprising the leftmost three digits is divisible by 3, the leftmost four by 4, the leftmost five by 5, and so on for the nine digits of the number i.e. the number formed from the first n digits is divisible by n, 2<=n<=9.

·  Each digit in the number is different i.e. no digits are repeated.

·  The digit 0 does not occur in the number i.e. it is comprised only of the digits

1-9 in some order.

Find the number

19)  If you started a business in which you earned Rs.1 on the first day, Rs.3 on the second day, Rs.5 on the third day, Rs.7 on the fourth day, & so on. How much would you have earned with this business after 50 years (assuming there are exactly 365 days in every year)?

20)  In Mr. Mehta's family, there are one grandfather, one grandmother, two fathers, two mothers, one father-in-law, one mother-in-law, four children, three grandchildren, one brother, two sisters, two sons, two daughters and one daughter-in-law. How many members are there in Mr. Mehta's family? Give minimal possible answer?

21)  At the Party:

·        There were 9 men and children.

·        There were 2 more women than children.

·        The number of different man-woman couples possible was 24. Note that if there were 7 men and 5 women, then there would have been 35 man-woman couples possible.

·        Also, of the three groups - men, women and children - at the party:

·        There were 4 of one group.

·        There were 6 of one group.

·        There were 8 of one group.

·        Exactly one of the above 6 statements is false.

Can you tell which one is false? Also, how many men, women and children are there at the party?

22)  There is a shortage of tube lights, bulbs and fans in a village - Kharghar. It is found that

·  All houses do not have either tube light or bulb or fan.

·  Exactly 19% of houses do not have just one of these.

·  At least 67% of houses do not have tube lights.

·  At least 83% of houses do not have bulbs.

·  At least 73% of houses do not have fans.

What percentage of houses does not have any of the three?

23)  Substitute digits for the letters to make the following Division true

O U T

-------------

S T E M | D E M I S E

D M O C

-------------

T U I S

S T E M

----------

Z Z Z E

Z U M M

--------

I S T

24)  Four friends - Arjan, Bhuvan, Guran and Lakha were comparing the number of sheep that they owned. It was found that Guran had ten more sheep than Lakha. If Arjan gave one-third to Bhuvan, and Bhuvan gave a quarter of what he then held to Guran, who then passed on a fifth of his holding to Lakha, they would all have an equal number of sheep. How many sheep did each of them possess?

25)  There is a 50m long army platoon marching ahead. The last person in the platoon wants to give a letter to the first person leading the platoon. So while the platoon is marching he runs ahead, reaches the first person and hands over the letter to him and without stopping he runs and comes back to his original position. In the mean time the whole platoon has moved ahead by 50m. How much distance did the last person cover in that time, assuming that he ran the whole distance with uniform speed?

26)  In a Road Race, one of the three bikers was doing 15km less than the first and 3km more than the third. He also finished the race 12 minutes after the first and 3 minutes before the third. Can you find out the speed of each biker, the time taken by each biker to finish the race and the length of the course? Assume that there were no stops in the race and also they were driving with constant speeds through out the race

27)  Consider a number 235, where the last digit is the sum of first two digits. How many such 3-digit numbers are there?

28)  There are 4 mugs placed upturned on the table. Each mug has the same number of marbles and a statement about the number of marbles in it. The statements are: Two or Three, One or Four, Three or One, One or Two. Only one of the statements is correct. How many marbles are there under each mug?

29)  Silu and Meenu were walking on the road. Silu said, "I weigh 51 Kgs. How much do you weigh?" Meenu replied that she wouldn't reveal her weight directly as she is overweight. But she said, "I weigh 29 Kgs plus half of my weight."  How much does Meenu weigh?

30)  What is the remainder left after dividing 1! + 2! + 3! + … + 100! By 7?

31)  There are 70 employees working with Brain Vista of which 30 are females. Also, 30 employees are married .24 employees are above 25 years of age .19 married employees are above 25 years, of which 7 are males .12 males are above 25 years of age .15 males are married.. How many unmarried females are there and how many of them are above 25?

32)  A man is stranded on a desert island. All he has to drink is a 20oz bottle of sprite. To conserve his drink he decides that on the first day he will drink one oz and the refill the bottle back up with water. On the 2nd day he will drink 2oz and refill the bottle. On the 3rd day he will drink 3oz and so on...By the time all the sprite is gone, how much water has he drunk?

33)  12 members were present at a board meeting. Each member shook hands with all of the other members before & after the meeting. How many hand shakes were there?

34)  You have 14 apples. Your Friend Marge takes away 3 and gives you 2. You drop 7 but pick up 4. Bret takes 4 and gives 5. You take one from Marge and give it to Bret in exchange for 3 more. You give those 3 to Marge and she gives you an apple and an orange. Frank comes and takes the apple Marge gave you and gives you a pear. You give the pear to Bret in exchange for an apple. Frank then takes an apple from Marge, gives it to Bret for an orange, gives you the orange for an apple. How much pear is left with you?

35)  An apple vendor has 1000 apples and 10 empty boxes. He asks his son to place all the 1000 apples in all the 10 boxes in such a manner that if he asks for any number of apples from 1 to 1000, his son should be able to pick them in terms of boxes. How did the son place all the apples among the 10 boxes, given that any number of apples can be put in one box?

36)  Six cabins numbered 1-6 consecutively are arranged in a row and are separated by thin dividers. These cabins must be assigned to six staff members based on following facts.

·  Miss Shalaka's work requires her to speak on the phone frequently

throughout the day.

·  Miss Shudha prefers cabin number 5 as 5 is her lucky number.

·  Mr. Shaan and Mr. Sharma often talk to each other during their work and

prefers to have adjacent cabins.

·  Mr. Sinha, Mr. Shaan and Mr. Solanki all smoke. Miss Shudha is allergic to

smoke and must have non-smokers adjacent to her.

·  Mr. Solanki needs silence during work.

Can you tell the cabin numbers of each of them?

37)  Mr. Black, Mr. White and Mr. Grey were chatting in the Yahoo conference. They were wearing a black suit, a white suit and a grey suit, not necessarily in the same order.

Mr. Grey sent message, "We all are wearing suit that are of the same color as our names but none of us is wearing a suit that is the same color as his name."
On that a person wearing the white suit replied, "What difference does that make?"
Can you tell what color suit each of the three persons had on?

38)  A contractor had employed 100 labourers for a flyover construction task. He did not allow any woman to work without her husband. Also, atleast half the men working came with their wives. He paid five rupees per day to each man, four rupees to each woman and one rupee to each child. He gave out 200 rupees every evening. How many men, women and children were working with the constructor?

39)  In a small town, there are three temples in a row and a well in front of each temple. A pilgrim came to the town with certain number of flowers. Before entering the first temple, he washed all the flowers he had with the water of well. To his surprise, flowers doubled. He offered few flowers to the God in the first temple and moved to the second temple. Here also, before entering the temple he washed the remaining flowers with the water of well. And again his flowers doubled. He offered few flowers to the God in second temple and moved to the third temple. Here also, his flowers doubled after washing them with water. He offered few flowers to the God in third temple. There were no flowers left when pilgrim came out of third temple and he offered same number of flowers to the God in all three temples.
What is the minimum number of flowers the pilgrim had initially? How many flower did he offer to each God?

40)  A, B, C and D are related to each other. One of the four is the opposite sex from each of the other three. D is A's brother or only daughter. A or B is C's only son. B or C is D's sister. Find the relationship?

41)  A detective was investigating a crime. She interviewed the Musician, the Manager, and the Servant. Here are their statements:

·  Manager - "The musician is guilty."

·  Musician - "The manager or the servant is guilty."

·  Servant - "If the musician is innocent, the manager is guilty."

Two people were lying. Who committed the crime?

42)  Veeru says to Jay, "Can you figure out how many Eggs I have in my bucket?" He gives 3 clues to Jay:

If the number of Eggs I have

·  is a multiple of 5, it is a number between 1 and 19

·  is not a multiple of 8, it is a number between 20 and 29

·  is not a multiple of 10, it is a number between 30 and 39

How many Eggs does Veeru have in his bucket?

43)  Ankit and Tejas divided a bag of Apples between them.Tejas said, "It's not fair! You have 3 times as many Apples I have." Ankit said, "OK, I will give you one Apple for each year of your age." Tejas replied, "Still not fair. Now, you have twice as many Apples as I have." "Dear, that's fair enough as I am twice older than you.” said Ankit.  Ankit went to Kitchen to drink water. While Ankit was in Kitchen, Tejas took apples from Ankit's pile equal to Ankit's age. Who have more apples now?

44)  There is a family party consisting of two fathers, two mothers, two sons, one father-in-law, one mother-in-law, one daughter-in-law, one grandfather, one grandmother and one grandson. What is the minimum number of persons required so that this is possible?

45)  Adam, Burzin, Clark and Edmund each live in an apartment. Their apartments are arranged in a row numbered 1 to 4 from left to right. Also, one of them is the landlord.

·  If Clark's apartment is not next to Burzin's apartment, then the landlord is Adam and lives in apartment 1.

·  If Adam's apartment is right of Clark's apartment, then the landlord is Edmund and lives in apartment 4.

·  If Burzin's apartment is not next to Edmund's apartment, then the landlord is Clark and lives in apartment 3.

·  If Edmund's apartment is right of Adam's apartment, then the landlord is Burzin and lives in apartment 2.

Who is the landlord?

46)  There are six boxes containing 5, 7, 14, 16, 18, 29 balls of either red or blue in color. 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 sold out?

47)  A fish had a tail as long as its head plus a quarter the lenght of its body. Its body was three-quarters of its total length. Its head was 4 inches long. What was the length of the fish?

48)  The secret agent X emailed some code to his head office. They are "RADAR, LEVEL, ROTOR, REDIVIDER, MOTOR". But four of these five words have something in common and one is wrong. Can you tell which one is wrong? Ignore the fact that four of the code-words are of the same length.

49)  Given the following facts:

a.       Dinesh is younger than Farukh and older than Gurmit.

b.      Jatin is younger than Chandu and older than Eshrat.

c.       Amit is younger than Irfan and older than Chandu.

d.      Farukh is younger than Bhavin and older than Hemant.

e.       Irfan is younger than Gurmit and older than Jatin.

f.        Hemant is older than Gurmit.

Who is the Youngest?

50)  What is the minimum number of moves the Rook needs to make, in order to pass over all the squares on the chessboard and return to the original position?