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TCS Openseesame (Open Seesame) : More questions

Here are a compliation of more open seesame questions by TCS openseesame. Courtesy my friends Anand, Abitha, Aleena, Vikky and Ann.



#1 ) A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race?
a. 8
b. 37.80
c. 5
d. 40

ANS :37.80


# 2 Rearrange the following letters to make a word and choose the category in which it fits.
RAPETEKA
a. city
b. fruit
c. bird
d. vegetable


Correct answer: bird (parakeet)

# 3  There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B. (At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?


a. 26 hrs
b. 25 hrs
c. 5 hrs
d. 27 hrs


ANS:26 hrs

4 ) There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B. (At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/32 filled after 3 hours, what is the total duration required to fill it completely?
a. 8 hrs
b. 9 hrs
c. 10 hrs
d. 7 hrs




# Anoop managed to draw 7 circles of equal radii with their centres on the diagonal of a square such that the two extreme circles touch two sides of the square and each middle circle touches two circles on either side. Find the ratio of the radius of the circles to the side of the square.


a. (2+ 7√2):1
b. 1:(2+ 6√2)
c. 1:(4+ 7√3)
d. 1:(2+ 7√2)


ANS: b

# A sheet of paper has statements numbered from 1 to 30. For all values of n from 1 to 30, statement n says "At most n of the statements on this sheet are false". Which statements are true and which are false?


a. The even numbered statements are true and the odd numbered are false.
b. All statements are false.
c. All statements are true.
d. The odd numbered statements are true and the even numbered are false.


ANS: b

#
Ferrari S.p.A. is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari, the company sponsored drivers 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 2 times as fast as Mohit's old Mercedes. If the speed of Mohit's Mercedes is 32 km/hr and the distance travelled by the Ferrari is 952 km, find the total time taken in hours for Rohit to drive that distance.


a. 29.75
b. 14.88
c. 15.88
d. 476


ANS: b


Screenshot 2








#
On the planet Oz, there are 8 days in a week- Sunday to Saturday and another day called Oz day. There are 36 hours in a day and each hour has 90 min while each minute has 60 sec. As on earth, the hour hand covers the dial twice every day.
Find the approximate angle between the hands of a clock on Oz when the time is 12:40 am.


a. 251
b.111
c.71
d.89


ANS: d



#
For the FIFA world cup. Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B,Paul picks A with the same probability as A’s chance of winning. Let’s assume such rumors to be true and than in match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game.
What is the probability that paul will correctly pick the winner of the Ghana-Bollivia game ?


a.5/9
b.4/9
c.1/9
d.2/3


ANS : d



#Q
Alok and Bhanu play the following min-max game. Given the expression N = 9 +X + Y– Z where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu
would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal
strategies, the value of N at the end of the game would be


a. 27
b. 18
c. 20
d. 0.0


ANS: b





#Q


Alok and Bhanu play the following min-max game. Given the expression N = X– Y – Z where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be


a. 2
b. 4
c. 9
d. -18

#Q


Alok and Bhanu play the following min-max game. Given the expression N = 38 + X*(Y – Z) where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be


a.38
b.119



#Q
Alok and Bhanu play the following min-max game. Given the expression N = 12 + X*(Y – Z) where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be
a.93
b.12
c.-69
d.30

#Q
A person drives with constant speed and after some time he sees a milestone with 2 digits. Then travels for 1 hours and sees the same 2 digits in reverse order. 1 hours later he sees that the milestone has the same 2 digits with a 0 between them. What is the speed of the car?


a.54.00 mph
b.45.00 mph
c.27.00 mph
d.36.00 mph


ANS: b

#Q


Fermat’s Last Theorem is a statement in number theory which states that it is impossible to separate any power higher than the second into two like powers, or, more precisely- If an integer n is greater than 2, then the equation a^n b^n = c^n has no solutions in non-zero integers a, b, and c. Now, if the difference of any two numbers is 9 and their product is 17, what is the sum of their squares?


a.43
b.45
c.98
d.115


ANS: d

#Q


India with a burgeoning population and a plethora of vehicles (at last count there were more than 20 million of them) has witnessed big traffic jams at all major cities. Children often hone their counting skills by adding the wheels of vehicles in schoolyards or bus depots and guessing the number of vehicles.
Alok, one such child, finds only bicycles and 4 wheeled wagons in his schoolyard. He counts the totalnumber of wheels to be 46. What could be the possible number of bicycles?


a.25
b.5
c.4


ANS: b



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