TCS
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Logical Reasoning
Decision Making and Problem Solving
A car manufacturer produces only red and blue models which come out of the final testing area completely at random. What are the odds that 5 consecutive cars of the same color will come through the test area at any one time?
a)1 in 16
b)1 in 125
c)1 in 32
d)1 in 25
Read Solution (Total 8)
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- p(5 cars of same color)= p(5 red cars) + p(5 blue cars)
hence p(5 cars of same color) = (1/2)^5 + (1/2)^5
ans = 1/16 - 14 years agoHelpfull: Yes(108) No(3)
- c) 1/2*1/2*1/2*1/2*1/2=1/32
- 14 years agoHelpfull: Yes(14) No(41)
- 1 in 16
- 14 years agoHelpfull: Yes(12) No(5)
- 1/16
1*1/2*1/2*1/2*1/2 - 14 years agoHelpfull: Yes(8) No(9)
- not sure...... c)1/32
- 14 years agoHelpfull: Yes(2) No(21)
- c)1 in 32
1/2*1/2*1/2*1/2*1/2
=(1/2)^5=1/32 - 14 years agoHelpfull: Yes(2) No(23)
- (1/2)^5=1/32
- 14 years agoHelpfull: Yes(1) No(14)
- Selecting of red color car or blue color car at random is 1/2. Therefore probability of 5 consecutive car of the same color come through test at the same time is 1/2*1/2*1/2*1/2*1/2=1/32
- 10 years agoHelpfull: Yes(0) No(1)
TCS Other Question
Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent
to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true ?
a) In order to win, Alok should remove O1 on his first turn.
b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.
c) In order to win, Alok should remove O2 on his first turn.
d) Alok has no winning strategy.
A pie is to be divided among 20 people. A man eats 3 pieces, a woman eats 2 pieces and a child eats ½ a piece of pie. What is the number of men, women children, so that 20 people in total and everyone get the same pie? There are 20 pieces of pie in all.
7 women, 1 man, 12 children
5 women, 1 man, 14 children
4 women, 2 men, 12 children