# (Paper) ITITAM Placement Paper (Aptitude)

**Paper: ITITAM
Placement Paper (Aptitude)
**

**1.**A 5 digit number is appended with 7(on right of units place) and multiplied by 5 then the result is similar to intial no with 7 on the left most digit (most significant digit). Find the 3rd digit in the initial number

Ans = abcde7

* 5

-------------

7abcde

Therefore, e=5, b=8, c=2

answer: c=2

**2 .**OTTFFSS?N

a.T

b.E

c.N

d

Ans: I wrote E ( because it is one, two, three, four, five...)

**3.**abcdefghij

a=no of zeros in the no

b= no of ones in the no

c= no of twos

so on

what is the sum of digits

a.10

b.55

c.9

d.

Ans 10

number is 6210001000

**4.**of a no +2/3 of another no =3/8 of sum what is their ratio

Ans: 3:7

**5.**If in this question 1 mark is for correct answer ,what negative mark should be kept for nullifying the correct answers

a.1/4

b.1/2

c.3/4

d

Ans=1/4

**6.**In a km race, A wins B by 28 meters or 9 seconds( time), then how much time did A take to finish the race

Ans 4 min 20 sec

**7.**Given 2 circles of radius R1 & R2. how many rotations will the smaller circle have to make a full revolution around the circle with radius R1.

R1 R2

ans (r1+r2)/r2

**8.**An equilateral triangle and its circumcircle..what is the probability that a line drawn inside this circle is longer than the side of the equilateral triangle

Ans =1/3(?)

**9.**given wt 1,3,9,27 how many different weights can u weigh

Ans. 40

**10.**43 players play some knock out game . how many games should be conducted to declare a winner

Ans. 42

**11.**A man traveling to a station at a speed of 5 km/h misses a train by 7 mins and if he travels at a speed of 6 km/h, he reaches the station 5 minutes early. How far should he travel to catch the train?

Ans. 6 km

**12**what's the minimum number of circles which have to be moved to convert the first figure into the second figure

0 0000

00 000

000 00

0000 0

Ans. 3

**13.**A boy has transferred 100 glass from one place to another the owner puts a condition that if he delivers safely he gets 3 paise for each glass and he would forfeit 9 paise for every broken glass. He loses some glass and gets Rs.2.40/- what are the no of broken glass

Ans. 5