Question 1

Marks: 1

A race horse starts chasing a wild pony 2 hours after th pony bolts the stable. The ponyt runs through the entire country of alberton, Texas jumping over three streams and crossing four 10 meters roads. The race horse finally chatches up with the pony after 5 hours by which time the sun had set and the mopon was up in the skyl for 4 hours. If the average speed of the race horse is 74 kmph, then th3 average speed f the wild pony is ______ kmph

Choose one answer.

a. 29.60

b. 52.86

c. 21.14

d. 53.86

Question 2

Marks: 1

8 years ago, Andromeda's age was twice Achilles' age. 8 years hence, Andromedas age will be 4/3 times the age of Achilles'. Find Andromedas present age in binary numbers

Choose one answer.

a. 10101

b. 11000

c. 1000

d. 1001

Question 3

Marks: 1

The british mathematician Lewis Caroll also loved t o make up fanstastic stores in which he embedded number of clever puzzels and curious riddles. For example, his popular tory, Alice in Wonderland, is about a young girl called Alice who dreams of a strange world where she meets several unusual

characcters including the Red Queen and the March Hare. In our story, after 4 years of time, Paul will be 3 times as old as Alice. Presently he is 6 time as old. How old is Paul now?

Choose one answer.

a. 16

b. 17

c. 19

d. 15

Question 4

Marks: 1

There are 7 children. You are told that the youngest child is a boy. The probability that all of them ae boys is 1 in

Choose one answer.

a. 2

b. 2!

c. 128

d. 64

Question 5

Marks: 1

A sheet of paper has statements numbered from 1 to 16. For all values on n from 1 to 16, statemenets n says at most n of the statements on this sheet are false. Which statements are true and which are false?

Choose one answer.

a. The even numbered statements are true and the odd numbered are false.

b. All the statements are true

c. The odd numbered statements are true and the even numbered are false.

d. The first half statements are true and the rest are false.

Question 6

Marks: 1

There is a cake to be divided among 20 people. A man eats of 3 pieces, a women eats two peices and child eats half a piece of cake. Find the number of men, women and children so that they are 20 people in total and everyone gets some cake. There are 20 pieces of cake in all.

Choose one answer.

a. 6 women, 2 men and 12 children

b. 7 women, 1 men and 12 children

c. 5 women, 1 men and 14 children

d. 4 women, 2 men and 14 children

Question 7

Marks: 1

The ticket a Disneyland will cost anywhere from 1p to 7p. You need to produce the exact change at the ticket counter and have with you a 7p coin. So you decide to break this into change but you want to carry with you as few coins as possible. Assuming that coins of all denominations are available, how many coins (denominations) would you split the 7p into?

Choose one answer.

a. 3

b. 5

c. 7

d. 8

Question 8

Marks: 1

Determine the distance between the x-intercept and the z-intercept of the plane whose equation is 6x+9y-5z=30

Choose one answer.

a. 6.86

b. 11.00

c. 7.81

d. 5.00

Question 9

Marks: 1

The thousand pillar temple of hyderabad was built by the Kakatiyans of Chalukyan dynasty in the 12th century. Each pillar has carvings made of black monolithic rocks of basalt which are polished to give it a brilliant look. One sunny morning, three tourists visit the temple. Rachel is taller than Lily and taller than two of the thousand pillars, and Joe is shorter than Rachel and three pillars. Which of the following statements would be most accurate?

Choose one answer.

a. its impossible to tell

b. lily is shorter than joe

c. lily is taller than joe

d. joe is a tall as Lily

Question 10

Marks: 1

100 men and 1000 women meet and men dance with women,. Which of the following are always true? A there are 2 men who have danced with same number of women. B. Tehre are 2 women who have danced with same number of men.

Choose one answer.

a. A only

b. B Only

c. Both A and B

d. Neither A nor B

Question 11

Marks: 1

Susan made a block with small cubes of 10 cubic cm volume to make a block 7 small cubes long, 7 small cubes wide and 6 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together a look like a block with same dimensions, if it were made hollow. What is the minimum number of cubes t hat she needs to make the block?

Choose one answer.

a. 294

b. 100

c. 194

d. 114

Question 12

Marks: 1

In the year 2002, Britian was reported to have had 4.3m closed-circuit television (CCTV) cameras - one for every 14 people in the country. The scrutiny is supposed to deter and detect crime. In one criminal case, the police interrogates two suspects. The ratio between the ages of the two suspects is 6:5 and the sum of their ages is 66 years. After how many years will the ratio be 8:7?

Choose one answer.

a. 6 years

b. 7 years

c. 12 years

d. 11 years

Question 13

Marks: 1

A lady has some fine gloves and hats in her closet - 19 blue, 26 red, and 43 yellow. The lights are out and it is totally dark. In spite of the darkness, she can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that it is a glove. How many gloves must she take out tyo make sure she has a pair of each colour?

Choose one answer.

a. 71

b. 34

c. 45

d. 36

Question 14

Marks: 1

A farm is chennai has round 200 trees each separate by about 20m., These trees are home to many brids. There are 13 birds that weigh up to 15g, 47 that weigh from 15 to 50g, and 37 that weigh greater than 50g. In the month of June, around 2 hours after sunset, after all birds have returned to their nests, a cunning fox finds its way into the farm. The fox takes a bird out of its nest at random. How many sparrows must the fox tke out to make sure that it has two of each weight range?

Choose one answer.

a. 57

b. 60

c. 55

d. 86

Question 15

Marks: 1

A toy train produces at least 10 different tunes when it moves around a circular toy tranck of radius 5 meters, at 10 meters per minute. However, the toy train is defective and it now produces only two different tunes at random. What are the odds that the toy train produces 3 consecutive music tunes of the same type (1 in _________)?

Choose one answer.

a. 4

b. 3

c. 8

d. 9

Question 16

Marks: 1

The thank giving banquet at No.2, Ritcher street had 49 guests which consisted of 6 statesmen, 26 relatives and their families. A the end of a banquet 17 people shake hands with each other, some of which were between the statement alone, some between relatives alone and some between the statement and relatives. How many hand shakes will there be in total?

Choose one answer.

a. 136

b. 272

c. 144

d. 128

Question 17

Marks: 1

20 people meet and shake hands. The maximum number hand shakes possible if there is to be no cycle of handshakes is (a cycle of handshakes is a sequence of people a1, a2, . . . . , ak such that the pairs (a1, a2), (a2, a3), . . . . .{a(k-1), ak}, {ak, a1} shakes hands).

Choose one answer.

a. 17

b. 16

c. 18

d. 19

Question 18

Marks: 1

Middle-earth is fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games., The game is as follows. A tournoi is one, where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different rounds where in every round; half of the temas get eliminated from the tournament. If there are 5 rounds played in a knock-out tournoi how many matches were played?>

Choose one answer.

a. 31

b. 30

c. 33

d. 32

Question 19

Marks: 1

The dynamics of crowd behaviour are hard to study because usually people are not reliable witnesses of their own behaviour. Now consider 5 people standing in the queue of a supermarket. You want to predict their behaviour based on their age group. You get to knw from the supermrket records that their average age 3 years ago was 49 ye4ars. After a while another person joins the queue and the present average of all the 6 is 46 years. The present age of the last person in the queue is:

Choose one answer.

a. 28 years

b. 16 years

c. 31 years

d. 34 years

Question 20

Marks: 1

Francois Pachet, a researcher at Sony Computer Science Laboratories is also a jazz musician. He decided to build a robot able to improvise like a pro. Names continuator, the robot can duet with a live musician in real-time. It listens to a musical phrase and then computers a complmentary phrase with the smae playing style. If the cost of making the robot is divided between materials, labour and overheads in the ratio of 5:7:3. If the materials cost $150.0, the cost of the robot is

Choose one answer.

a. 750.00$

b. 360.00$

c. 321.43$

d. 450.00$

Question 21

Marks: 1

Two blocks of copper with density of 100 kg/.m^3 are twisted into wires of length 100 km and thickness 0.1mm. Copper is a very ductile material. Its ductility is measured in terms of percentage elongation upon appliation of tensile forces. The conductivity of the copper wire is extremely high rendering it useful in the construction of many electronic circuits. If the voltage thought one such circuit 15V and the current flowing in the circuit is 58mA. What is the resistance of the wire?

Choose one answer.

a. 258 Ohms

b. 3.87 K Ohm

c. 73.00 K Ohms

d. 870.00K Ohms

Question 22

Marks: 1

The great Indian mathematician Bhaskaracharya formulated this problem in the twelfth century for his teenaged prime number aged daughter Lilavati. He also authored the eponymous Lilavathi, a compendum of mathematical puzzles, in which the number of problem s that use this formula is the sum of two prime numbers. The product of the two prime numbers is smaller than the total number of problems in the Lilavati. Now, if the difference of any tow numbers is 4 and their product is 22, what is the sum of the their squares?

Choose one answer.

a. 48

b. 38

c. 60

d. 50

Question 23

Marks: 1

A group of friends Tom, Tina, Dick, Diana, Harry and Harriet go out to a fair three hundered meters from the McDonaleds which is five KMs away. they see a weighting machine and decide to have some fun. However the girls refuse to setp on the weighting machine. So Tom, Dick and Harry, weigh themselves in a particular order. First Tom, Dick, and Harry weigh themselves individually and then Tom and Dick, Dick and Harry, Tome and Harry and then Tom, Dick and Harry together respectively. The recorded weight for the last measure is 164Kgs. The average of all the 7 measures is :

Choose one answer.

a. 93.71

b. 117.14

c. 54.67

d. 70.29

Question 24

Marks: 1

The New York Public Library is one of the world's greatest repositories of books and journals. If has a beautiful reading room facing Manhattan's famous Fifth Avenue.o In the reading room are 10 reading spots. Each reading spot consits of a round tbale with 4 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 10 readers, how many reading spot are empty?

Choose one answer.

a. None

b. 5

c. 6

d. 4

Question 25

Marks: 1

Ferrari S.p.A. is an Italian sport car manufacturere based in Marenello, Italy, Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drives and manufactured race cars before moving into production of street-legal vehicles in 1947 as Ferrari S.p.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One, where it has enjoyed great success. Rohit once bought a Ferrari. It could go 3 times as fast as Mohit's old Mercedes. If the speed of Mohit's Mercedes is 43 Km/hr and the distance travelled by the Ferrari is 986 Km, find the total time taken for Rohit to drive that distance.

Choose one answer.

a. 328 horus

b. 22 hours

c. 7.64 hours

d. 8 hours

Question 26

Marks: 1

A survey of India worker was taking the 2000 census in Behrampur distance of Orissa. It was a Wednesday in the second half of the year in the waxing moon phase right aftera major national festival.

In one of the villages the worker intervewed a toothless old lady sitting in front of hut. The lady declared: My grand daughter is about as many days as my daughter is weeks, and my grand daughte is as many months as I am years. The three of us together are 140 years. The surveyor quickly took out her calculator and started punching in a few numbers to find the lady's age. Her calculator has a seven segment LCD displaye but she was puzzled to see the number so she did the calculations again, this time assuming 30 days in a month and 365 days in a year. This time the results were correct. Can you tell what did the calculator display showed, if you made the smae assumptions?

Choose one answer.

a. 85 years

b. 83 years

c. 84 years

d. 86 years

Question 27

Marks: 1

In a pizza restaurant, you get a basic pizza with two toppings: cheese and tomato. You can also make up your own pizza with extra toppings., You can choose from 9 di9ffeent toppings, e.g. olives, ham, mushroom, salami etc. Ross wants to order a pizza with 2 different extra toppings. How many different combinations are possible:

Choose one answer.

a. 81

b. 72

c. 512

d. 36

Question 28

Marks: 1

A long, thin strip of width 16cm is kept on a flat surface. Another identical strip is kept on it an an overlapping manner such that the combined width of the two is 23 cm. What is the width if 67 such strips are kept like this?

Choose one answer.

a. 478

b. 446

c. 469

d. 908

Question 29

Marks: 1

First dirt or fill soil is usually the sub-soil removed from an excavation site and is used to level a place or create artificial mounds. If the average density of sub-soil removed from a site is 3 gm/cu cm and it weights 800 kg, hw many hemispherical pits each of volume 190 cubic cm, can this sub-soil fill?

Choose one answer.

a. 1403

b. 701

c. 1404

d. 1402

Question 30

Marks: 1

Peter is twice as old a Paul was when Peter was as old as Paul is now. The combined age of peter and paul is 35 years. Hw old is peter now?

Choose one answer.

a. 22 years

b. 20 years

c. 17 years

d. 15 years

Question 31

Marks: 1

A scgoolyard contains only bicycles and 4 wheeled wagons. On Tuesday, the total number of wheels in the schoolayard was 106. What could the possible number of bicycles?

Choose one answer.

a. 18

b. 16

c. 15

d. 14

Question 32

Marks: 1

A rope of given length is used to form a triangle of sides 13, 20 and 32 cms. If the same rope is used to form a square, what would be the area of such a square?

Choose one answer.

a. 16.25 sq.cm

b. 469.44 sq.cm

c. 126.56 sq.cm

d. 264.06sq.cm

Question 33

Marks: 1

1/2 of a num is 2 more than d 1/6 of d same num,then num=?

Choose one answer.

a. 9

b. 5

c. 6

d. 7

Question 34

Marks: 1

Rearrange d chars of d word RAPETEKA ,then it is a

Choose one answer.

a. bird

b. fruit

c. vegetable

d. city

Question 35

Marks: 1

The age of the two friends were in the ration of 2:3.If the sum of their ages is 55.Then after how many years their ratio will become 4:5?

Choose one answer.

a. 33

b. 22

c. 44

d. 11

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