INFOSYS PLACEMENT PAPER NO.16

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The puzzle test!

1. The cigarette problem. 27 cigarettes.A person smokes only 2/3 rds, then finds out that he can make a new one out of three cigarette butts. How many cigs does he smoke totally.
Ans: 40

2.: There is a die. how many ways can u arrange 1,2,3,4,5,6 on the faces of the die such that 1&6, 2&5 and 4&3 alway s remain on opposite faces.
Ans: 24

3.There are five persons in an office in the post of buyer, clerk, footwalker, manager,cashier. Allen, Benett, Clark, Ewinger, Davis holds the post. Among the 5 two have their lunch time from 11:30 - 12:30 and the rest have it in 12:30 - 1:30
Mrs Allen and Mrs Benett are sisters.
Cashier and clerk share their lunch among themselves.
Two Bachelors share their rooms.
Davis and Ewinger do not face each other from the day Davis reported Ewinger to the Manager when he returned from lunch and found out that Ewinger ha s already left for lunch before time. --> 8 marks

4)An artist has exactly seven paintings --- ,T,U,V,W,X,Y, and Z -- from which she must choose exactly five to be in an exhibit. Any combination is acceptable provided it meets the following conditions:
* If T is chosen , X cannot be chosen
* If U is chosen , Y must also be chosen
* If V is chosen , X must also be chosen

1) Which one of the following is an acceptable combination of paintings for inclusion in the exhibit?
A. T,U,V,X,Y
B. T,U,V,Y,Z
C. T,W,X,Y,Z
D. U,V,W,Y,Z
E. U,V,W,Z,Y
Ans E When T is present X shud be excluded so above cases failed. When V is there X must be there so.

2) If painting T is chosen to be among the paintings included in the exhibit which one of the following cannot be chosen to be among the paintings included in the exhibit?
A. U
B. V
C. W
D. Y
E. Z
Ans B when T is there X not there, so if u include V it brings X along with it

3)Which one of the following substitutions can the artist always make without violating restrictions affecting the combination of paintings given that the painting mentioned first was not, and the painting mentioned first was not, and the painting mentioned second was, originally going to be chosen ?
A. T replaces V
B. U replaces Y
C. V replaces X
D. W replaces Y
E. Z replaces W
Ans E

4) If the artist chooses painting V to be included among the paintings in the exhibit, which one of the following must be true of that combination of paintings?
A. T is not chosen
B. Y is not chosen
C. U is chosen
D. W is chosen
E. Z is chosen
Ans A When V is there, X included, which contradicts T s condition, so it must be excluded.

(5) A vendor who is an ex-mathematician has a number of apples and when he arranges them in rows of 3 he is left with one more, when he arranges them in rows of 5 again he is left with 1 more, Same happens with when he tries to arrange them in rows of 7 and 9 that is 1 apple is left extra. But when he arranges them in a row of 11 he is left with none. Can u tell me how many apples were there?
Ans: 946
The no is a multiple of 3,5,7,9 + a remainder of 1. So 3* 5* 7* 9= 945 + 1 =946 946 /11= 86 So it is divisible by 11 also.

6. The staircase problem.When i am on the 4th step , a professor is starting from the ground floor.When i reach the seventh step he finishes climbing them. His speed is twice that of mine.find the number of steps.

7. An easy problem of ages.

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