CAT Exam  >  CAT Notes  >  Quantitative Aptitude (Quant)  >  CAT Previous Year Questions: Surds & Indices

Surds & Indices CAT Previous Year Questions with Answer PDF

Question for CAT Previous Year Questions: Surds & Indices
Try yourself:Let a, b, m and n be natural numbers such that a > 1 and b > 1. If ambn = 144145, then the largest possible value of n mis

[2023]

View Solution

*Answer can only contain numeric values
Question for CAT Previous Year Questions: Surds & Indices
Try yourself:Let n be any natural number such that 5n-1 < 3n+1. Then, the least integer value of m that satisfies 3n+1 < 2n+m  for each such n, is

[2023]

Check
View Solution

*Answer can only contain numeric values
Question for CAT Previous Year Questions: Surds & Indices
Try yourself:Let A be the largest positive integer that divides all the numbers of the form 3k + 4k + 5k, and B be the largest positive integer that divides all the numbers of the form 4k + 3(4k) + 4k+2, where k is any positive integer. Then (A + B) equals

[2022]

Check
View Solution

Question for CAT Previous Year Questions: Surds & Indices
Try yourself:If x = ( 4096)7+4√3 , then which of the following equals 64?

[2020]

View Solution

*Answer can only contain numeric values
Question for CAT Previous Year Questions: Surds & Indices
Try yourself:If a, b, c are non-zero and 14a = 36b = 84c, then Surds & Indices CAT Previous Year Questions with Answer PDF is equal to 

[2020]

Check
View Solution

The document Surds & Indices CAT Previous Year Questions with Answer PDF is a part of the CAT Course Quantitative Aptitude (Quant).
All you need of CAT at this link: CAT
184 videos|131 docs|110 tests

Top Courses for CAT

FAQs on Surds & Indices CAT Previous Year Questions with Answer PDF

1. What is the difference between a surd and an index?
Ans. A surd is an irrational number that cannot be expressed as a simple fraction, while an index is the small number written at the top of a root symbol indicating the root's degree.
2. How can surds be simplified?
Ans. Surds can be simplified by rationalizing the denominator, which involves multiplying the numerator and denominator by the conjugate of the denominator.
3. What are some common properties of indices?
Ans. Some common properties of indices include the product rule (a^m * a^n = a^(m+n)), the quotient rule (a^m / a^n = a^(m-n)), and the power rule ((a^m)^n = a^(m*n)).
4. How are surds and indices used in real-life applications?
Ans. Surds and indices are used in various fields such as engineering, physics, and finance to solve complex mathematical problems and make calculations more efficient.
5. Can surds and indices be used in calculus?
Ans. Yes, surds and indices are frequently used in calculus to solve problems involving limits, derivatives, and integrals, making them essential concepts for advanced mathematical analysis.
184 videos|131 docs|110 tests
Download as PDF
Explore Courses for CAT exam

Top Courses for CAT

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

Surds & Indices CAT Previous Year Questions with Answer PDF

,

ppt

,

Surds & Indices CAT Previous Year Questions with Answer PDF

,

past year papers

,

Viva Questions

,

Summary

,

Free

,

pdf

,

Surds & Indices CAT Previous Year Questions with Answer PDF

,

video lectures

,

study material

,

Objective type Questions

,

MCQs

,

practice quizzes

,

Extra Questions

,

mock tests for examination

,

Important questions

,

Previous Year Questions with Solutions

,

shortcuts and tricks

,

Semester Notes

,

Sample Paper

,

Exam

;