PERSONALITY DEVELOPMENT ASSOCIATION
MADRAS INSTITUTE OF TECHNOLOGY
ANNA UNIVERSITY – CHENNAI
“DISCOVER THYSELF”
Aptitude test No.:09
QUESTIONS:
Date:29.12.2016
1. A prime number N, in the range of 10 to 50, remains unchanged when its digits are reversed. The square of
such number is:
A) 196
B) 1089
C) 484
D) 121
2. The sum of three consecutive natural numbers divisible by 3 is 72. What is the largest among them?
A) 21
B) 24
C) 27
D) 30
3. There are four prime numbers written is ascending order. The product of the first three is 385 and that of
the last three is 1001. Find the first number.
A) 5
B) 7
C) 11
D) 17
4.
5.
6.
7.
8.
9.
10.
11.
12.
How many numbers upto 2570 are divisible by 3 and 4 togther?
A) 333
B) 157
C) 214
D) 456
Father’s age is 5 years more than mother’s age and mother’s age is 3 times of daughter’s age. The present
age of daughter is 10 yrs. What was the age of father at daughter’s birth?
A) 20 yrs
B) 22 yrs
C) 25 yrs
D) 28 yrs
A father tells his eldest son, I’m the thrice as old as your younger sister and when I was as old as you, you
were as old as younger sister. If the younger sister is 17 yrs old, how many years ago was her elder brother
son?
A) 30 yrs ago B) 32 yrs ago C) 34 yrs ago D) 36 yrs ago
10 years ago, the average age of family of 4 members was 26 yrs. Two children have been born; the average
age of the family is same today. The sum of the ages of the two children is?
A) 8 yrs
B) 10 yrs
C) 12 yrs
D) 15 yrs
In a class, there are 40 boys and their average age is 16 years. On one boy, aged 17 years, leaving the class
and another joining, the average age becomes 15.875 years. The age of the new boy is:
A) 12 yrs
B) 14.5 yrs
C) 15 yrs
D) 17 yrs
Rajan got married 8 years ago. His present age is 6/5 times his age at the time of his marriage. Rajan’s sister
was 10 years younger to him at the time of his marriage. The age of Rajan’s sister is:
A) 32 yrs
B) 36 yrs
C) 38 yrs
D) 40 yrs
The number of arrangements of the word ‘CABLE’ So that the vowels always occupy odd position is ?
A) 12
B) 18
C) 24
D) 36
What is the number of words formed from the letters of the word ‘JOKE’ So that the vowels and consonants
alternate?
A) 4
B) 8
C) 12
D) None of these
If 6 boys and 6 girls have to sit in a round circular music chair. So, that there is a girl between 2 boys. Find the
number of ways they can sit?
A) 6! * 5!
B) 6! * 4!
C) 6! * 3!
D) 6! * 2!
13. Find the number of different signals that can be transmitted by arranging 3 yellow flags, 4 red flags and 2
blue flags on a pole.. All the flags are used to transmit the signal.
A) 1200
B) 1260
C) 1300
D) 1350
14. In how many different ways a group of 4 men and 4 women can be formed out of 7 men and 8 women?
A) 2450
B) 1050
C) 117
D) 232
15. How many rectangles can be formed on a chess board?
A) 1248
B) 1264
C) 1296
D) 1292
16. A bus leaves from Chennai to Madurai at 80 km/hr. After 3 hours another bus from Chennai to Madurai
leaves at 110 km/hr. Find the distance from Chennai, when the two buses meet?
A) 8 km
B) 80 km
C) 880 km
D) 888 km
17. A thief is noticed by a policeman from distance of 200 m. The thief starts running and the policeman chases
him. The thief and the policeman run at a rate of 10 km/hr and 11 km/hr respectively. What is the distance
between them after 6 minutes?
A) 100 m
B) 105 m
C) 200 m
D) 205 m
18. Sita takes twice as much as Gita to complete a work and Rita does it in same time as Sita and Gita together. If
all the three are working together can finish the work in 6 days, then the time taken by each of them to
finish the work is
A)36,18,12 days
B)20,38,14 days
C)24,42,18 days
D)None
19. P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10
hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the
work?
A) 60/11
B) 61/11
C) 71/11
D) 72/11
20. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days.
In how many days can 2 men and 1 boy do the work?
A) 31/2 days B) 25/2 days C) 27/2 days D) 35/2 days
21. A boat covers a certain distance downstream in 5 hours, but takes 7 hours to return upstream to the starting
point. If the speed of the stream be 5 km/hr, find the speed of the boat?
A) 34 km/hr B) 45 km/hr
C) 40 km/hr
D) 30 km/hr
22. The ratio of speed of boat in still water to the speed of current is 6:1. If the upstream speed is 2 km/hr. Find
the speed of the boat in still water?
A) 2.4 km/hr B) 3.6 km/hr C) 4.4 km/hr D) 5.2 km/hr
23. A train 200 m long passes a stone in 15 seconds and passes another train of same length by 12 sec coming
from opposite direction. The speed of the second train is?
A) 72 km/hr B) 56 km/hr
C) 85 km/hr
D) 65 km/hr
24. Two trains of length 200 m and 175 m run on parallel tracks. When running in the same direction faster train
cross slower one in 75 /2 sec. When running in opposite direction at their earlier speeds they pass each
other completely in 15/2 sec. Find the speed of each train?
A) 30 m/s,20 m/s
B) 20 m/s,15 m/s
C)45 m/s,27 m/s
D)None
25. Chennai is at a distance of 560 km from Mumbai. A train starts from Mumbai to Chennai at 6 am with the
speed of 40 km/hr another train starts from Chennai to Mumbai with the speed of 60 km/hr at 7 am. At
what distance from Mumbai will the two trains cross and at what time?
A) 248 km, 12.12 noon
B) 150 km, 11.20 am C) 310 km, 2.45 noon D)None
26. If four coins are tossed, find the probability to get atleast 1 head?
A) 3/5
B) 1/6
C) 15/16
D) 5/6
27. Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
A) ½
B) ¾ C) 3/8
D) 5/16
28. Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are black or
both are queens?
A) 55/221
B) 55/1326
C) 25/221
D) 25/1326
29. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability
that it is neither blue nor green?
A) 2/3
B) ¾ C) 7/19
D) 8/21
30. A speaks truth in 75% cases and B in 80% cases. In what percentage of cases are they lik ely to contradict
each other, narrating the same incident?
A) 5%
B) 15%
C) 25%
D) 35%
31.void main(){
int a=100;
printf(“%d%d”,++a,a++);}
a)101 101
b)101 102
c)102 100
d)102 101
32. main(){
printf(“%d%d”,sizeof(10),sizeof(5,5));
}
a) 4 2
b) 4 8
c) 4 6
d) 4 4
33. main(){
printf(3+”Proskills”+4);
}
a) Compilation error
b) skills
34. #define square(x) x*x
int main(){
int x=36/square(6);
printf(“%d”,x);
}
a) 6
b) 36
c) 9
d) 1
35. void main(){
printf(“%d”,10?0?20?35:45:55:65);
}
a) 35
b) 45
c) 55
d) 65
c) kills
d) ls