List of top Quantitative Aptitude Questions on Basics of Numbers asked in CAT

When $10^{100}$ is divided by 7, the remainder is ?

Let $a_n$ be the largest integer not exceeding $\sqrt{n}$. Then the value of $a_1 + a_2 + \dots + a_{50}$ is
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
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
The number of all natural numbers up to 1000 with non-repeating digits is
Find the number of natural numbers less than (or up to) 1000 having different digits.
Find the sum of the two smallest natural numbers with the number of factors as 15.
How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?
How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?
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
How many distinct positive integer-valued solutions exist to the equation \((x^2-7x+11)^{(x^2-13x+42)}=1\)?
The number of real-valued solutions of the equation \(2^x+2^{-x}=2-(x-2)^2\) is