1)Ferrari
S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded
by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and
manufactured race cars before moving into production of street-legal vehicles
in 1947 as Feraari S.P.A. Throughout its history, the company has been noted
for its continued participation in racing, especially in Formula One where it
has employed great success .Rohit once bought a Ferrari . It could go 4 times
as fast as Mohan's old Mercedes. If the speed of Mohan's Mercedes is 46 km/hr
and the distance traveled by the Ferrari is 953 km, find the total time taken
for Rohit to drive that distance.
a)20.72
b) 5.18
c)238.25
d)6.18
ans:b(time=distance/speed=953/4*46
2)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 21 hours, what is the total duration required to
fill it completely?
a)26 hrs
b)25 hrs
c)5 hrs
d)7 hrs
ans:a (21st hour 1/32
full,22nd hour 2/32 23rd hour 4/32 and so on 26th hour 32/32 ie full complete!
3)For the FIFA world
cup, Paul the octopus has been predicting the winner of each match with amazing
success. It is rumored that in a match between 2 teams A and B, Paul picks A
with the same probability as A’s chances of winning.
Let’s assume such
rumors to be true and that in a match between Ghana and Bolivia, Ghana the
stronger team has a probability of 2/3 of winning the game. What is the
probability that Paul will correctly pick the winner of the Ghana-Bolivia game?
a)4/9
b)2/3
c)1/9
d)5/9
ans:d (2/3*2/3 +1/3*1/3)
4)The IT giant Tirnop
has recently crossed a head count of 150000 and earnings of $7 billion. As one
of the forerunners in the technology front, Tirnop continues to lead the way in
products and services in India. At Tirnop, all programmers are equal in every
respect. They receive identical salaries ans also write code at the same
rate.Suppose 12 such programmers take 12 minutes to write 12 lines of code in
total. How long will it take 72 programmers to write 72 lines of code in total?
a)6
b)18
c)72
d)12
ans:12 (use eqn
man*hour=day
12*12=12
72*x=72 divide eqn 1 by
2 and find x
5)The citizens of
planet nigiet are 8 fingered and have thus developed their decimal system in
base 8. A certain street in nigiet contains 1000 (in base 8 buildings numbered
1 to 1000. How many 3s are used in numbering these buildings?
a)256
b)54
c)192
d)64
ans:192 (count no:of 3
in ones place,tens place and 100ths place seperately,we will get each equal to
64,64*3=192
6)36 people {a1, a2, …,
a36} meet and shake hands in a circular fashion. In other words, there are
totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, …, {a35, a36},
{a36, a1}. Then size of the smallest set of people such that the rest have shaken
hands with at least one person in the set is
a)12
b)13
c)18
d)11
ans:12
7)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 well as womankind) had only worked with fewer digits.
The problem posed at
the end of the workshop is
How many 5 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)375
b)625
c)500
d)3125
ans:b (a number is
divisible by 4 if last 2 digits are divisible by 4.five numbers can be formed
from digits 1 to 5 which are divisible by 4.rest 3 places can be filled in
5*5*5 ways.total 5*5*5*5=625)
8)After the typist
writes 12 letters and addresses 12 envelopes, she inserts the letters randomly
into the envelopes (1 letter per envelope). What is the probability that
exactly 1 letter is inserted in an improper envelope?
a)0
b)12/212
c)11/12
d)1/12
ans:a (since 1 letter
is in improper envelope other would definitely be in improper envelope)
9)There are two boxes,
one containing 10 red balls and the other containing 10 green balls. You are
allowed to move the balls between the boxes so that when you choose a box at
random and a ball at random from the chosen box, the probability of getting a
red ball is maximized. This maximum probability is
a)3/4
b)14/19
c)37/38
d)1/2
ans:b (probability of
selecting a box=1/2.now keep 1 red ball in box a and transfer 9 red balls to
b,so probability=1/2(1+9/19)
10)The difference
between the ages of two of my three grandchildren is 3. My eldest grandchild is
three times older than the age of my youngest grandchild and my eldest
grandchild’s age is two years more than the ages of my two youngest
grandchildren added together. How old is my eldest grandchild?
a)13
b)10
c)15
d)20
ans:c
