Cognizant Aptitude Preparation Notes

Sep 17, 2024

Cognizant Aptitude Questions Lecture Notes

Introduction

  • Lecture by Prateek Srivastava, founder of Online Study For You.
  • Focus on solving previous year aptitude questions for Cognizant's hiring process.
  • Important dates for exams: September 17, 19, 24, 25.
  • Resources available in the Telegram group (PDF of questions).

Key Points

  • Practice Relevant Questions: Focus on previous year questions or similar types.
  • YouTube Channel: Subscribe and like for more content.

Problem-Solving Session

Question 1: Logarithm Problem

  • Expression: Log 3600 = Log(36 * 100)
  • Breakdown: Log 36 = Log(6^2); Log 100 = Log(10^2)
  • Answer: 2 Log 6 + 2
  • Properties of logarithm are crucial for solving.

Question 2: Logarithm Equation

  • Equation: (1/2)Log(x) + (1/2)Log(y) + Log(2) = Log(x + y)
  • Multiply through by 2 to simplify.
  • Answer: x = y (Option B).

Question 3: Profit and Loss

  • Selling price = 650, loss selling price = 426.
  • Set cost price as x.
  • Profit = 650 - x; Loss = x - 426.
  • Solve: 2x = 1076; x = 538.
  • Final Calculation: Find half of 50% of cost price = 134.5 (Option A).

Question 4: Permutation and Combination

  • Problem: How many 5-digit numbers divisible by 4 can be formed using digits 1-6 with repetition?
  • Last two digits must be divisible by 4.
  • Total combinations: 6^3 (for first three digits) * 8 (valid last two combinations) = 1728.
  • Answer: 1728.

Question 5: Arrangement of Books

  • Problem: 8 books with 3 particular books not together.
  • Arrange 5 books as 6 factorial and keep 3 together as 3 factorial.
  • Answer: 36,000 arrangements.

Question 6: Reduction in Price

  • Problem: Reduction of 20% leads to buying 12 more mangoes.
  • Let original price = P; set up equation.
  • Final Calculation: Price for 16 mangoes = 5 (Option B).

Question 7: Work Efficiency

  • A can complete work in 8 days; B's efficiency calculated using ratio from given days.
  • Answer: B completes work in 12 days.

Question 8: Number Series

  • Follow pattern of operations (multiply, add).
  • Answer: 1254.

Question 9: More Number Series

  • Logic: Observe pattern in multipliers and addends.
  • Answer: 154.

Question 10: Pipe and Cistern

  • Problem: Pipe A fills the tank, leak affects total time.
  • Using efficiency rates to find leak rate.
  • Answer: Leak takes 70 hours to empty the tank.

Question 11: Average Calculation

  • Problem: Average of integers; find relation with given average.
  • Answer: Average of five integers is t + 1.

Question 12: Income Ratio

  • Method: Assume values for clear calculation.
  • Answer: C's income is 36,000.

Question 13: Square Roots

  • Method: Rewrite and simplify under radicals.
  • Final Result: Simplified answer.

Question 14: Sorts and Indices

  • Method: Rewrite using rules of exponents.
  • Answer: 177.

Question 15: Age Problem

  • Method: Set up equations based on age relations.
  • Final Answer: Present age of A is 28.

Question 16: Probability

  • Method: Calculate probability of events occurring.
  • Final Answer: 3/5.

Question 17: Probability of Drawing Balls

  • Method: Use combinations and favorable outcomes.
  • Answer: 3/5.

Question 18: Earthquake Tremors

  • Method: Calculate the duration and frequency of tremors.
  • Final Answer: 421 tremors felt.

Question 19: Profit and Loss with Fractions

  • Method: Assume a common value that is divisible.
  • Final Result: 36,000.

Question 20: Cost of Carpeting

  • Method: Calculate area and cost based on dimensions.
  • Answer: 193.4.

Question 21: Number with Remainders

  • Method: Set up equations based on given conditions.
  • Final Answer: 36.

Question 22: HCF Calculation

  • Method: Subtracts to find HCF.
  • Answer: 64.

Question 23: Factors of a Number

  • Method: Use prime factorization to find factors.
  • Answer: 70.

Question 24: Percentage Calculation

  • Method: Set equations for total marks based on conditions.
  • Final Answer: 725.

Question 25: Cone Volume

  • Method: Use Pythagoras' theorem to find base radius; calculate area.
  • Answer: 60π square meters.

Conclusion

  • Importance of understanding concepts over memorization.
  • Practice questions and apply learned techniques for better preparation.