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.
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.
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.
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.
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
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.
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.
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
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
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
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
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
