HP Placement Papers

HP PLACEMENT  PAPER-5

43. The question is followed by two statements, A and B. Answer the question using the following instructions:
 Choose1: if the question can be answered by using one of the statements alone but not by using the other statement alone.
Choose2: if the question can be answered by using either of the statements alone.
 Choose3: if the question can be answered by using both statements together but not by either statement alone.
 Choose4: if the question cannot be answered on the basis of two statements. Tarun is standing 2 steps to the left of a green mark and 3 steps to the right of a black mark. He tosses a coin. If it comes up heads, he moved one step to the right, otherwise he moves one step to the left. He keeps doing this until he reaches one of the two marks, and then he stops. At which mark does he stops? A: he stops at 21 coin tosses. B: he obtains three more tails than heads.

(a) 1
(b) 3
(c) 4
(d) 2

 44. There are two water tank A and B, A is much smaller than B. While water fills at rate of one liter every hour in A, it gets filled up like 10, 20, 40, 80, 16..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 1/8 filled after 7 hours, what is the total duration required to fill it completely?

(a)10 hours
(b) 9 hours
(c) 11 hours
(d) 3 hours

45. A sheet of paper has statements numbered from 1 to 10. For all values of n from 1 to 10, statement n says: ‘Exactly 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 statements are false.
(b) The second last statement is true and the rest are false.
(c) The odd numbered statements are true and the even numbered
statements are false.
(d) All the statements are false.

46. Alok is attending a workshop ‘How to do more with less’ and today’s theme is working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as we as womankind) had only worked with fewer digits. The problem posed at the end of the workshop is ‘How many 6 digit numbers can be formed using the digits 1,2,3,4,5, (but with repetition) that are divisible by 4?’ Can you help Alok find the answer?

(a) 3906
(b) 3907
(c) 3125
(d) 1250

47. The dynamics of crowd behavior are hard to study because usually people are not reliable witness of their own behaviour. Now consider 4 people standing in the queue of a supermarket. You want to predict their behaviour based on their age group. You get to know fro the supermarket records that their average age 3 years ago was 48 years. After a while, another person joins the queue and the present average of all the 5 is 46 years. The present age of the last person in the queue is:

(a) 38 years
(b) 35 years
(c) 41 years
(d) 26 years

48. Alice and Bob play the following coins-on-a-stack game. 100 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top of the repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position I below the top coin (for some I between 0 and 100).
We will call this as i-move (thus a 0-move implies doing nothing). The proviso is that an i-move cannot be repeated, for example once a player makes a 2-move, on subsequent turns neither player can make a 2-move. If the gold coin happen to be on the top when it’s a player’s turn then the player wins the game. Initially, the gold coin is the third coin from the top. Then

(a) In order to win, Alice’s first move should be a 1-move.
(b) Alice has no winning strategy.
(c) In order to win, Alice’s first move can be a 0-moveor a 1-move.
(d) In order to win, Alice’s first move should be a 0-move.

49. 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 1/16 filled after 16 hours, what is total duration required to fill it completely?

(a) 19 hours
(b) 20 hours
(c) 4 hours
(d) 21 hours

50. Consider two tumblers, the first containing one litre of milk ad the second containing one litre of coffee. Suppose you take one glass of milt out of the first tumbler and pour it into the second tumbler. After mixing you take one glass of the mixture from the second tumbler and pour it back into the first tumbler. Which one of the following statements holds now?

(a) None of the statements holds true.
(b) There is less coffee in the first tumbler than milk in the second
tumbler.
(c) There is as much coffee in the first tumbler as there is milk in
the second tumbler.
(d) There is more coffee in the first tumbler than milk in the
second tumbler.

51. A circular dashboard of radius 2.0 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?

 (a) .75
(b) 1.00
(c) .25
(d) .50

52. A sheet of paper has statements numbered from 1 to 10. For all values of n from 1 to 10, statement n says: ‘Exactly n of the statements on this sheet are false.’ Which statements are true and which are false?

(a) All the statements are false.
(b) The second last statement is true and the rest are false.
(c) The even numbered statements are true and the odd numbered
statements are false.
(d) The odd numbered statements are true and the even
numbered statements are false.

53. Consider two vessels, the first containing one litre of oil and the second containing one litre of coffee. Suppose you take one spoon of oil out of the first vessel and pour it into the second vessel. After mixing you take one spoon of mixture from the second vessel and pour it back into the first vessel. Which one of the following statements holds now?

(a) None of the statements holds true.
(b) There is less coffee in the first vessel than oil in the second
vessel.
(c) There is more coffee in the first vessel than oil in the second
vessel.
(d) There is as much coffee in the first vessel as there is oil in the
second vessel.

54. 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 19 hours, what is total duration required to fill it completely?

(a) 5 hours
(b) 23 hours
(c) 24 hours
(d) 25 hours

55. The question is followed by two statements, A and B. Answer the question using the following instructions:
 Choose1: if the question can be answered by using one of the statements alone but not by using the other statement alone.
 Choose2: if the question can be answered by using either of the statements alone.
Choose3: if the question can be answered by using both statements together but not by either statement alone.
Choose4: if the question cannot be answered on the basis of two statements. Zayed spends 30% of his income on his children’s education, 20% on recreation and 10% on healthcare. The corresponding percentage for Sandeep are 40%, 25% and 13%. Who spends more on children’s education? A: Zayed spends more on recreation than Sandeep B: Sandeep spends more on healthcare than Zayed.

(a) 1
(b) 3
(c) 4
(d) 2