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(#M40002147) TCS QUESTION Keep an EYE

The citizen of a planet are 6 fingered and thus have developed a number system in base 6. a certain street in the planet contains 1000 buildings, numbered from 1 to 1000. how many 3's are used in numbering these buildings? express in base 10

Solution

The general fundamental for finding answer will be following
from 0 t0 9, 3 will come 1*(1) = 1 times
from 00 to 99, 3 will come 2*(10) = 20 times
from 000 to 999, 3 will come 3*(100) = 300 times
similarly others
now the following question is based on any other system so take the following steps
from 0 t0 9, 3 will come 1*(1) = 1 times
from 00 to 99, 3 will come 2*(6) = 12 times
from 000 to 999, 3 will come 3*(36) = 108 times
from 0000 to 9999, 3 will come 4*(216) = 864 times


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Asked In TCS X22 (14 years ago)

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(#M40002136) TCS QUESTION probability Keep an EYE

out of 7 children the youngest is a boy then find the probability that all the remaining children are boys.

Asked In TCS X22 (14 years ago)

Solved sourav Read Solution (4)

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(#M40002134) TCS QUESTION cube Keep an EYE

a Girl made a block with small cubes of 8 cubic cm volume to make a block , 3 small cubes long, 9 small cubes wide and 5 small cubes deep. the she realises she used more cubes than she needed.if it were made hollow then minimum number of cubes she needs is:

Asked In TCS X22 (14 years ago)

Solved ritika Read Solution (2)

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(#M40002123) TCS QUESTION Keep an EYE

A power unit is by the bank of a river 1500m wide.
It is required to construct a power plant on the side of the river opposite to the power unit and 3000mfrom the unit.
A cable has to be laid from the power unit to the power plant.
The cost of laying the cable under water and on the land is Rs 100 per m and Rs 10 per m respectively.
If we want to minimize the total cost of laying the cable,
where should the plant be located?

Solution

since laying the cable under water is costly, so we should lay it along the perpendicular direction to the width of the river for reducing the cost, yet we have to maintain the distance of 3000 m between the power unit and power plant so power plant should be located at 1500 from the river bank.


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Asked In TCS RajkumarMahanta (14 years ago)

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(#M40002115) TCS QUESTION maths puzzle Keep an EYE

A lady has fine gloves and hats in her closet-18 blue,32 red,25 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 if it is glove.how many gloves must she take out to make sure she has a pair of each color?

Asked In TCS dhivi (14 years ago)

Solved suchandra raavi Read Solution (8)

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(#M40002098) TCS QUESTION maths Keep an EYE

How many 9 digit numbers are possible by using digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?

Solution

_ _ _ _ _ _ _ _ _ (9 digit number)
Digits that can be used = 1, 2, 3, 4 and 5
For a number to divisible by 4, the last two digits have to be divisible by 4
So, the units digit cannot be 1, 3 or 5
If the units digit is 2, only 12, 32 adn 52 are acceptable as the last two digits
If the units digit is 4, only 24 and 44 are acceptable as the last two digits.
So, total 5 cases 12,24,32,44,52 are possible for the last two digits.
Now, the first 7 digits of the 9 digit number can be filled in 5^7 ways as each place can be filled by 1, 2, 3, 4 or 5.
So, desired answer = 5^7*5 = 5^8
This answer is given by Amitesh kumar and is right

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Asked In TCS Moumita Ghosh (14 years ago)

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(#M40002093) TCS QUESTION Keep an EYE

33 people {a1, a2,...........,a33} meet and shake hands in a circular fashion. In other words, there are totally 33 handshakes involving the pairs, {a1,a2}, {a2,a3},..........,{a32, a33}, {a33, a1}. Then the size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
a.11 b.13 c.24 d.50

Asked In TCS sankha chowdhury (14 years ago)

Solved Govind Read Solution (4)

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(#M40002092) TCS QUESTION Keep an EYE

How many 9 digit numbers are possible by using digits 1,2,3,4,5 which are divisible by 4 if the repetition is allowed?
a.5^7 b.5^6 c.5^9 d.5^8

Solution

_ _ _ _ _ _ _ _ _ (9 digit number)
Digits that can be used = 1, 2, 3, 4 and 5
For a number to divisible by 4, the last two digits have to be divisible by 4
So, the units digit cannot be 1, 3 or 5
If the units digit is 2, only 12, 32 adn 52 are acceptable as the last two digits
If the units digit is 4, only 24 and 44 are acceptable as the last two digits.
So, total 5 cases 12,24,32,44,52 are possible for the last two digits.
Now, the first 7 digits of the 9 digit number can be filled in 5^7 ways as each place can be filled by 1, 2, 3, 4 or 5.
So, desired answer = 5^7*5 = 5^8
This answer is given by Amitesh kumar and is right

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Asked In TCS sankha chowdhury (14 years ago)

Solved Moumita Ghosh Read Solution (3)

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(#M40002091) CTS QUESTION Keep an EYE

A hollow cube of size 5cm is taken, with the thickness of 1cm. It is made of smaller cubes of size 1cm .If the outer surface of the cube is painted how many faces of the smaller cubes remain unpainted?

Asked In CTS Aparajita Chowdhury (14 years ago)

Solved ~Sandeep~ Read Solution (1)

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(#M40001850) TCS QUESTION age puzzle Keep an EYE

Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?
a) 8 b) 20 c) 16 d) 15

Asked In TCS sunita kumari (14 years ago)

Solved dinesh kumar jain Read Solution (4)

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