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Surds & Indices || Quantitative Aptitude || CAT 2021 || 16 April (App update required to attempt this test)

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Question 1

If a and b are natural numbers such that (9a)^4b = 6^18a and a is not divisible by 3, then the value of is:

__________

Question 2

Assuming that

is a real number, its value is

Question 3

, what is the minimum possible sum of n and m? (TITA)

Question 4

Find the largest power of 81 which divides

Question 5

= a +

where a and b are integers then find the value of a + b.

Question 6

then what is the value of

Question 7

An experiment was conducted with a certain population of Ants consisted of ‘n’ living organisms in the starting of a month. At the end of each month, the population size increased by twice of its size which was at the beginning of that month. If the total population at the end of 5 months is greater than 1000, then what is the minimum possible value of n? (TITA)

Question 8

If fractional part of the number