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CAT
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Quantitative Aptitude
List of top Quantitative Aptitude Questions on Basics of Numbers asked in CAT
If
\(x\)
is a positive real number such that
\(x^8+\bigg(\frac{1}{x}\bigg)^8=47\)
, then the value of
\(x^9+\bigg(\frac{1}{x}\bigg)^9\)
is
CAT - 2023
CAT
Quantitative Aptitude
Basics of Numbers
Let n be any natural number such that
\(5^{n-1} < 3^{n+1}\)
. Then, the least integer value of m that satisfies
\(3^{n+1} < 2^{n+m}\)
for each such
\(n\)
, is
CAT - 2023
CAT
Quantitative Aptitude
Basics of Numbers
The number of all natural numbers up to 1000 with non-repeating digits is
CAT - 2023
CAT
Quantitative Aptitude
Basics of Numbers
Find the sum of the two smallest natural numbers with the number of factors as 15.
CAT - 2023
CAT
Quantitative Aptitude
Basics of Numbers
Find the number of natural numbers less than (or up to) 1000 having different digits.
CAT - 2023
CAT
Quantitative Aptitude
Basics of Numbers
The natural numbers are divided into groups as (1), (2, 3, 4), (5, 6, 7, 8, 9), …..and so on. Then, the sum of the numbers in the 15th group is equal to
CAT - 2021
CAT
Quantitative Aptitude
Basics of Numbers
How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?
CAT - 2021
CAT
Quantitative Aptitude
Basics of Numbers
How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?
CAT - 2021
CAT
Quantitative Aptitude
Basics of Numbers
The number of real-valued solutions of the equation
\(2^x+2^{-x}=2-(x-2)^2\)
is
CAT - 2020
CAT
Quantitative Aptitude
Basics of Numbers
How many distinct positive integer-valued solutions exist to the equation
\((x^2-7x+11)^{(x^2-13x+42)}=1\)
?
CAT - 2020
CAT
Quantitative Aptitude
Basics of Numbers