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
Are you preparing for Exam? Then you should check out the best video lectures, notes, free mock test series, crash course and much more provided by EduRev. You also get your detailed analysis and report cards along with 24x7 doubt solving for you to excel in exam. So join EduRev now and revolutionise the way you learn!
Sign up for Free Download App for Free
191 videos|133 docs|110 tests

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.
Related Searches

ppt

,

Sample Paper

,

Free

,

Surds & Indices CAT Previous Year Questions with Answer PDF

,

Summary

,

study material

,

Semester Notes

,

pdf

,

mock tests for examination

,

Extra Questions

,

Previous Year Questions with Solutions

,

video lectures

,

Important questions

,

shortcuts and tricks

,

Objective type Questions

,

past year papers

,

Viva Questions

,

Surds & Indices CAT Previous Year Questions with Answer PDF

,

Surds & Indices CAT Previous Year Questions with Answer PDF

,

MCQs

,

Exam

,

practice quizzes

;