List of top Quantitative Aptitude Questions on Number Systems asked in CAT

The number of all positive integers up to 500 with non-repeating digits is
\(3^{3333}\) divided by 11, then the remainder would be?
For any natural Number 'n', let an be the largest number not exceeding \(\sqrt{n}\) , then a1 + a2 + a3... +a50 =
One direct question from the Number System was 10 to the power 100 divided by seven, candidates had to choose the correct answer for the problem.
Let \(a_n=46+8n\) and \(b_n=98+4n\) be two sequences for natural numbers \(n ≤ 100\) . Then, the sum of all terms common to both the sequences is
The sum of the first two natural numbers, each having 15 factors (including 1 and the number itself), is
Let \(N\), \(x\) and \(y\) be positive integers such that \(N=x+y\), \(2<x<10\) and \(14<y<23\). If \(N>25\), then how many distinct values are possible for \(N\)? [This Question was asked as TITA]
How many integers in the set {100, 101, 102, ..., 999} have at least one digit repeated?
[This Question was asked as TITA]
If \(a, b, c\) are non-zero and \(14^a = 36^b = 84^c\), then \(6b \bigg(\frac{1}{c}-\frac{1}{a}\bigg)\)is equal to [This Question was asked as TITA]
If \(x\) and \(y\) are non-negative integers such that \(x + 9 = z, \ y + 1 = z\) and \(x + y < z + 5\), then the maximum possible value of \(2x + y\) equals
[This Question was asked as TITA]
The number of pairs of integers \((x , y)\) satisfying \(x≥y≥-20\) and \(2x+5y=99\) is
[This Question was asked as TITA]
How many 4-digit numbers, each greater than 1000 and each having all four digits distinct, are there with 7 coming before 3.
[This Question was asked as TITA]
If x and y are positive real numbers satisfying \(x+y=102\), then the minimum possible value of \(2601(1+\frac 1x)(1+\frac 1y)\) is
[This Question was asked as TITA]
How many 3-digit numbers are there, for which the product of their digits is more than 2 but less than 7? [This Question was asked as TITA]
Let \(m\) and \(n\) be natural numbers such that \(n\) is even and \(0.2<\frac{m}{20}\), \(\frac{n}{m}\), \(\frac{n}{11}<0.5\). Then \(m-2n \) equals
How many pairs \((a, b)\) of positive integers are there such that \(a≤b\) and \(ab=4^{2017}\) ?
Let \(N\), \(x\) and \(y\) be positive integers such that \(N=x+y\), \(2<x<10\) and \(14<y<23\). If \(N>25\), then how many distinct values are possible for \(N\)?
How many integers in the set {100, 101, 102, ..., 999} have at least one digit repeated?
If \(a, b, c\) are non-zero and \(14^a = 36^b = 84^c\), then \(6b \bigg(\frac{1}{c}-\frac{1}{a}\bigg)\)is equal to
If \(x_m +1\) and \(x_m=x_{m+1}+(m+1)\) for every positive integer \(m\), then \(x_{100 }\) equals
If x and y are non-negative integers such that \(x + 9 = z, y + 1 = z\) and \(x + y < z + 5\), then the maximum possible value of \(2x + y\) equals
The number of pairs of integers \((x , y)\) satisfying \(x|\geq y\geq-20\) and \(2x+5y=99\) is
How many 4-digit numbers, each greater than 1000 and each having all four digits distinct, are there with 7 coming before 3
If \(x\) and \(y\) are positive real numbers satisfying \(x+y=102\), then the minimum possible value of \(2601\bigg(1+\frac{1}{x}\bigg)\bigg(1+\frac{1}{y}\bigg) \)is
The mean of all 4 -digit even natural numbers of the form 'aabb', where a >0, is