This set of Latest Cognizant Placement paper is collected from on-campus recruitment for the session (2013-14). The questions that are posted below are the exact quantitative aptitude questions collected from Cognizant Online Test conducted by AMCAT.

**Details of Cognizant Recruitment process .**
No. of Round: 3

Round 1: Online Test

Round 2; Technical Interview

Round 3: HR Interview.

Online Test is conducted by AMCAT (Third party online test application provider).

**Details of Online Aptitude Test**
English – 25 (

*Time allocated: 25 min*)
Quantitative aptitude – 16 (

*Time allocated: 16 min*)
Logical Reasoning – 14 (

*Time allocated: 14 min*)
Negative Marking - No.

Here are some exact questions collected from Cognizant Online Test conducted by AMCAT.

1. How many 3 digit numbers can be formed from the digits 2,3,5,6,7 and 9 which are divisible by 5 and none of the digits is repeated?

Ans.

**20**

__Since each desired number is divisible by 5, so we much have 5 at the unit place.__

**Explanation:**
Now tens place can be filled by any of the remaining 5 digits

The hundreds place can now be filled by any of the remaining 4 digits .

Required number of numbers = (1 * 5 * 4) = 20

2. How many arrangements can be made out of the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together ?

Ans.

**120960**

__In the word 'MATHEMATICS' we treat vowel AEAI as one letter thus we have MTHMTCS(AEAI)__

**Explanation:**
now we have to arrange 8 letters out of which M occurs twice ,T occurs twice & the rest are different

Number of ways of arranging these letters = 8! / (2!)(2!) = 10080

Now AEAI has 4 letters in which A occurs 2 times and the rest are different

Number of ways of arranging these letters = 4! / 2! = 12

Required number of words = (10080 * 12) = 120960

3. The sum of the ages of the 5 children's born at the intervals of 3 years each is 50 years what is the age of the youngest child ?

Ans.

**4 years**__Let the age of the children's be__

**Explanation:**
x ,x+3, x+6, x+9, x+12.

x+(x+3)+(x+6)+(x+9)+(x+12) = 50

5x+30 = 50

5x = 20

x=4.

Age of the youngest child is x = 4 years.

4. A bag contains 6 white and 4 black balls .Two balls are drawn at random .Find the probability that they are of the same color?

Ans.

**7/45**__: Let S be the sample space.__

**Explanation**
Number of ways for drawing two balls out of 6 white and

4 red balls = 10C2

=10!/(8!*2!) = 45.

n(S) =45.

Let E =event of getting both balls of the same color.

Then n(E) = number of ways of drawing ( 2balls out of 6) or

(2 balls out of 4).

= 6C2 +4C2

= 6!/(4!*2!) + 4!/(2! *2!)

= 6*5/2 +4 *3/2

=15+6 =21.

P(E) =n(E)/n(S) =21/45 =7/45.

5. In how many a committee of 5 members can be selected from 6 men 5 ladies consisting of 3 men and 2 ladies ?

Ans.

**200**__3 men out of 6 and 2 ladies out of 5 are to be chosen__

**Explanation:**
Required number of ways

=(6C3 * 5C2)

= 200

6. A man sold two flats for Rs 675,958 each .On one he gains 16% while on the other he losses 16%. How much does he gain or lose in the whole transaction?

Ans:

**Loss 2.56%**__: Loss%=[common loss or gain%/10]2=(16/10)2=2.56%__

**Explanation**
7. The average price of 10 books is increased by 17 Rupees when one of them whose value is Rs.400 is replaced by a new book. What is the price of new book?

Ans.

**Rs. 570**__: 10 books Average increases by 17 Rupees.So. 10*17= 170.So the new book cost is more and by adding its cost average increase,therefore the cost of new book is 400+170=570.__

**Explanation**
8. Find least number which when divided by 20,25,35,40 leaves remainders 14,19,29,34?

Ans.

**1394**__20–14=6__

**Explanation:**
25-19=6

35-29=6

40-34=6

Therefore number = LCM of (20,25,35,40) - 6=1394

The quantitative aptitude part of the online test is quite easy. Quantitative Aptitude by R.S Aggarwal is enough to crack the quantitative aptitude part.

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