HP Placement Paper II

HP Placement Paper 2011 @ Bangalore

1) In a hotel, rooms are numbered from 101 to 550. A room is chosen at random. What is the probability that room number starts with 1, 2 or 3 and ends with 4, 5 or 6?
Answer
There are total 450 rooms.
Out of which 299 room number starts with either 1, 2 or 3. (as room number 100
is not there) Now out of those 299 rooms only 90 room numbers end with 4, 5 or
6.So the probability is 90/450 i.e. 1/5 or 0.20.
 

2) What is the four-digit number in which the first digit is 1/3 of the second, the third is the sum of the first and second, and the last is three times the second?
Answer
The 4 digit number is 1349.
 

3) Difference between Bholu’s and Molu’s age is 2 years and the difference between Molu’s and Kolu’s age is 5 years. What is the maximum possible value of the sum of the difference in their ages, taken two at a time?
Answer
The maximum possible value of the sum of the difference in their ages -
taken two at a time – is 14 years.
 

4) A 3 digit number is such that it’s unit digit is equal to the product of the other two digits which are prime. Also, the difference between it’s reverse and itself is
396.What is the sum of the three digits?
Answer
The required number is 236 and the sum is 11.
 

5) Pepsi, Fanta, Cola order either coffee or tea after dinner. a)If pepsi orders coffee, Fanta orders the drink that is ordered by cola. b)If fanta orders coffee, pepsi do not order the drink that is ordered by cola. c)If cola orders tea, pepsi orders the same drink ordered by fanta. Who take the same drink every day.
Ans:Pepsi.
 

6) Boat A leaves shore P and Boat B leaves shore Q.(P and Q are opposite shores of a river.) A and B travel at constant speed.But the speeds are not same. Both boats meet at 600m from P for the first time. In their return journeys (ie after touching the shores), they meet agian at 200m from Q. Find distance between P and Q.
Ans:1600m
 

7) There are two glasses A and B. A contains orange juice and B contains apple juice in same quantity.Some amount orange juice from glass A is transfered to glass B. The juice in glass B is mixed well. Then again the same amount of juice from B is transferred to A. Compare the quantities of apple juice in A and orange juice in B.
Ans:Equal.
 

8)  100 Kg. Potatoes with 98% water content are dried in an oven. The percentage of water decreases to 50 %. What is the weight of potatoes now.
Ans:4Kg.
 

9) A 31? x 31? square metal plate needs to be fixed by a carpenter on to a wooden board. The carpenter uses nails all along the edges of the square such that there are 32 nails on each side of the square. Each nail is at the same distance from the neighboring nails. How many nails does the carpenter use?
Solution:
32*2 + 30*2=124
 

10) It was vacation time, and so I decided to visit my cousin’s home. What a grand time we had! In the mornings, we both would go for a jog. The evenings were spent on the tennis court. Tiring as these activities were, we could manage only one per day, i.e., either we went for a jog or played tennis each day. There were days when we felt lazy and stayed home all day long. Now, there were 12 mornings when we did nothing, 18 evenings when we stayed at home, and a total of 14 days when we jogged or played tennis. For how many days did I stay at my cousin’s place?
Solution :
Use sets and venn diagram to solve such questions.a,b ,aub,anb etc.
12=tennis+leave
18=jog+leave
so jog-tennis=6
again jog+tennis=14.so solve and get jog=10,leave=8,tennis=4.so tot=22
 

11) Glenn and Jason each have a collection of cricket balls. Glenn said that if Jason would give him 2 of his balls they would have an equal number; but, if Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as Glenn. How many balls does Jason have?
Solution:
R 14
1. G+2=j-2
2. 2(G-2)=J+2.
solve these 2 to get
J=14
 

12) How many even integers n, where , are divisible neither by seven nor by nine?
Solution:
There are 101 integers in all, of which 51 are even.From 100 to 200, there are 14 multiples of 7, of which 7 are even. There are 11 multiples of 9, of which 6 are even.But there is one integer (i.e. 126) that is a multiple of both 7 and 9 and also even.Hence the answer is (51 – 7 – 6 + 1) = 39