Cognizant Aptitude Screening 5

Question 1

A and B invest ₹5000 and ₹8000 in a business. After 1 year the profit is ₹6500. What is B's share?

Accepted Answer

₹4000

Answer

Ratio = 5:8; B's share = (8/13)×6500 = 4000.

Question 2

A ladder 10 m long leans against a wall. Its foot is 6 m from the wall. How high does it reach on the wall?

Accepted Answer

8 m

Answer

Height = √(10²−6²) = √(100−36) = √64 = 8 m.

Question 3

The cost price of 25 articles equals the selling price of 20 articles. What is the profit percent?

Accepted Answer

25%

Answer

Let CP/article = 1; SP of 20 = CP of 25 → SP per article = 25/20 = 1.25; profit = 25%.

Question 4

A bag contains 5 red, 4 blue, and 3 green balls. What is the probability of picking 2 red balls at random?

Accepted Answer

2/11

Answer

C(5,2)/C(12,2) = 10/66 = 5/33... simplified: 5/33. Wait: 5/33 = option A and 10/66 = option B (same value). C(5,2)=10, C(12,2)=66; 10/66=5/33. The simplified answer is 5/33.

Question 5

Find the value of x: 3x − 7 = 2(x + 5) + x − 3

Accepted Answer

No solution

Answer

3x−7 = 2x+10+x−3 = 3x+7 → −7 = 7, which is a contradiction, so there is no solution.

(Cognizant) Cognizant Test Practice Test

(Cognizant) Cognizant Test Practice Test

Cognizant Aptitude Screening 5