PERSONALITY DEVELOPMENT ASSOCIATION
MADRAS INSTITUTE OF TECHNOLOGY
ANNA UNIVERSITY – CHENNAI
Aptitude test no.:03
Date:11.08.2016
1.How many nonrepeating three digits numbers can be written using digits from the set
{3,4,5,6,7,8}?
a) 240
b)110 c)120
d)100
2.Suppose certain account numbers are to consist of two letters followed by four digits and
then three more letters, where repetition of letters or digits are not allowed within any of the
three groups,but the last group of letters may contain one or both of those used in the first
group.How many such accounts are possible?
a)1,00,000,000
b)2,72,560,000
c)89,46,270,000
d)51,105,600,000
3.Suppose one starts his journey from place X and has to reach place Z via a different place
Y.For Y,there are three means of transport-bus,train and aeroplane-from X.From Y,the
aeroplane service is not available for Z.Only either by a bus or by a train can one reach Z
from Y.Also,there is no direct bus or train service fro Z from X.We want to know the
maximum number of ways by which one can reach Z from X.
a) 5
b) 3
c) 6
d) 4
4.Suppose there are 42 men and 16 women in a party.Each man shakes his hand only with all
the men and each women shakes her hand only with all the women.We have to find the
maximum number of handshakes that have taken place at the party.
a) 981
b) 532
c) 861
d) 120
5.How many numbers of five digits can be formed with the digits 0,2,4,6,8?
a) 24
b) 48
c) 12
d) 52
6. A,B and C enter into partnership. A contributes one-third of the capital while B
contributes as much as A and C together contributed.If the profits at the end of the year
amounted to Rs.840,what is B share?
a) 420
b) 280
c) 140
d) 360
7.In how many ways can 6 people be seated at a round table?
a) 5
b) 6
c) 4
d) 12
8.In how many different ways can the letters of the word”MATHEMATICS” be arranged
such that the vowels must always come together?
a) 9800
b) 100020
c) 120960
d) 140020
9.There are 8 men and 10 women and you need to form a committee of 5 men and 6
women.In how many ways can the committee be formed?
a) 10420
b) 11
c) 11760
d) none of these
10.25 buses are running between two places P and Q.In how many ways can a person go
from P to Q and return by a different buses?
a) None of these
b) 600
c)576
d) 625
11.A goods train,in five successive minutes, from the start runs 68 m,127 m,208 m,312
m,535 m and for the next five minutes maintains an average speed of 33 km per hour.Find
the distance covered and the average speed of the train in km per hour.
a) 4000 m & 33 km/hr
b) 2750 m & 33 km/hr
c) 4000 m & 24 km/hr
d)2750 m & 24 km/hr
12.The average of 31 numbers is 31.When one number is added,there combined average
increases by 0.5.Find the value of new number.
a) 47
b) 51
c) 62
d) 31
13.A batsman has a certain average of runs for 16 innings.In the 17th innings,he makes a
score of 85 runs,thereby increasing his average by 3.What is the average after the 17 th
innings?
a) 34
b) 37
c) 31
d)36
14.A and B enter into partnership. A is contributing Rs.8000, B is contributing Rs.10000.At
the end of six months they introduce C,who contributes Rs.6000.After the lapse of 3
years,they find that the firm made a profit of Rs.9600,what is B share?
a) 3200
b) 4200
c) 2100
d) 6400
15.A man starts a business with a capital of Rs.90,000 and employs an assistant.From the
yearly profits he keeps an amount equals to 4 ½% of his capital and pays his assistant 35%
remainder of the profits.Find how much the assistant receives in a year in which the profits
are Rs.30000.
a) 4050
b) 6351
c) 12000
d) 9082
16.A women has certain number of mangoes of which 10% are bad.She gives 80% of the
remainder in charity.Then she has 252 left.How many she had at first?
a) 1800
b) 1500
c) 1200
d) 1400
17.At an election the candidate secures 40% of the votes but defeated by the other candidate
of 298 votes.Find the total number of votes recoeded?
a) 1530 b) 1500
c) 1490
d) 1400
18.Two numbers are in the ratio 2:3.20% of the smaller number added to 20 becomes equal
to the sum of 10% of the larger number and 25.Find the smaller number.
a) 50
b) 100
c) 150
d) 70
19.If 9 engines consumes 24 metric tonnes of coal,when each is working 8 hours a day;how
much coal is required for 8 engines,each running 13 hours a day it is being given that 3
engines of the former type consumes as much as 4 engines of the latter type.
a) 26 metric tonnes
b)18 metric tonnes
c)24 metric tonnes
d)22 metric tonnes
20.Agarrison had provisions certain number of days.After 10 days,1/5 th of the men desert
and it is found that the provisions will now last just as long as before.How long was that?
a)15 days
b)25 days
c) 35 days
d) 50 days
21.12 children take 16 days to complete the work which can be completed by 8 adults in12
days.16 adults started working,after 3 days 10 adults left and 4 children joined them.How
many days it will take to complete the remaining work?
a)6
b)8
c) 4
d)3
22.12 men can complete a work in 8 days.3 days after they started the work,and 3 more men
joined.In how many days will all of them remaining will complete the remaining work?
a) 2
b) 4
c)5
d)6
23.A boat running downstream covers a distance of 16 km in 2 hours while for overing the
same distance in upstream it takes 4 hours.what is the speed of the boat in still water?
a)4 km/hr
b) 6 km/hr
c) 8 km/hr
d) data inadequate
24.A man rows to a place 48km distant and back in 14 hours.He finds that he can row 4km
with the stream in the same time as 3 km against the stream.The rate of stream is:
a) 1 km/hr
b) 1.5 km/hr
c) 1.8 km/hr
d)3.5 km/hr
25.If a train runs at 40 kmph,it reaches its destination late by 11 minutes but if it runs by 50
kmph it is late by 5 minutes only.The correct time for the train to complete its journey is:
a) 13 min
b) 15 min
c) 19 min
d) 21 min
26.A man takes 5 hours 45 minutes in walking to a place and riding back.He would have
gained 2 hours by riding both the ways.The time he would take to walk both ways,is:
a) 3 hrs 45 min
b) 7 hrs 30 min
c) 7 hrs 45 min
d) 11 hrs 45 min
27.How many days are there x days and x weeks?
a) 7x2
b) 8x
c)14 x
d) 7
28.It was Sunday on Jan 1,2006.What was the day of the week on Jan 1,2010?
a) Sunday
b) Saturday
c) Friday
d)wednesday
29.How many times are the hands of the clock at right angles in a day?
a) 22
b) 24
c) 44
d) 48
30.A clock is set at 5 p.m.The clock loses 16 minutes in24 hours.What will be the true time
when the clock indicates 10p.m. on the fourth day?
31.Which of the following is the correct order of evaluation for the below expression?
Z=x+y*z/4%2–1
a)* / % + - =
b)= * / % + c)/ * % - + =
d)* % / - + =
32.Which of the following is the correct usage of conditional operators used in C?
a) a > b ?c =30:c=40;
b) a >b ?c =30;
c)max= a >b? a>c? a:c:b>c?b:c
d)return (a>b) ? (a:b)
33.Which of the following are unary operators in C?
a) !
b) sizeof
c) ~
d) &&
34.Find the output of the following program.
#include<stdio.h>
int main()
{
int a[5] = { 5, 1, 15, 20, 25 };
int i, j, m;
i = ++ a[1];
j= a[1]++;
m=a[i++];
printf(“%d , %d , %d”,i ,j ,m);
return 0;
}
a)2,1,15
b)1,2,5
c)3,2,15
35.Which of the following statements correct about an array?
A:the array int num[26]; can store 26 elements
B:the expression num[1] designates the very first element in the array
C:it is necessary to initialize the array at the time of declaration
D:the declaration num[SIZE] is allowed if the size is macro
a)1
b)1,4
c)2,3
d)2,3,20
d)2,4