List of top Quantitative Aptitude Questions on Number Systems

Five alarms sound together at intervals of 5, 10, 15, 20, and 25 minutes respectively. At most, how many times will they all sound together in 2 hours?

If three-fifth of a number is 540, find one sixth of the number

The number 2*056 is divisible by 11. Which is the digit at the * sign?

How many numbers between 400 and 800 are divisible by 13?

A number divided by 180 gives a remainder of 98. What will be the remainder if the same number is divided by 15?

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

For any natural numbers \(m\), \(n\), and \(k\), such that \(k\) divides both \(m + 2n\) and \(3m + 4n\), \(k\) must be a common divisor of

Any non-zero real numbers \(x, y\) such that \(y ≠ 3\) and \(\frac{x}{y}<\frac{x+3}{y-3}\), will satisfy the condition

Let \(a, b, m\) and \(n\) be natural numbers such that \(a >1\) and \(b >1\) . If \(a^m+b^n = 144^{145}\) , then the largest possible value of \(n − m\) is

The number of positive integers less than 50, having exactly two distinct factors other than 1 and itself, is

The sum of all possible values of \(x\) satisfying the equation \(2^{4x^2} - 2^{2x^2+x+16} + 2^{2x+30} = 0\), is

If \(p^2+q^2-29=2pq-20=52-2pq\) , then the difference between the maximum and minimum possible value of \((p^3-q^3 ) \)is

Let \(n\) and \(m\) be two positive integers such that there are exactly \(41\) integers greater than \(8^m\) and less than \(8^n\) , which can be expressed as powers of \(2\) . Then, the smallest possible value of \(n +m\) is

The number of all natural numbers up to 1000 with non-repeating digits is

The number of integer solutions of equation \(2|x|(x^2+1)=5x^2\) is

Let \(n\) be the least positive integer such that \(168\) is a factor of \(1134^n\) . If \(m\) is the least positive integer such that \(1134^n\) is a factor of \(168^m\) , then \(m+ n \) equals

A quadratic equation \(x^2+bx+c=0\) has two real roots. If the difference between the reciprocals of the roots is \(\frac{1}{3}\) , and the sum of the reciprocals of the squares of the roots is \(\frac{5}{9}\) , then the largest possible value of \((b+c)\) 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

For some real numbers \(a\) and \(b\) , the system of equations \(x + y = 4\) and \((a+5)x+(b^2-15)y = 8b\) has infinitely many solutions for \(x\) and \(y\). Then, the maximum possible value of \(ab\) is

If \(\sqrt{5x+9}\)+\(\sqrt{5x-9}\)=\(3(2-\sqrt2)\) then \(\sqrt{10x+9}\) is equal to

The number of positive integers less than 50, having exactly two distinct factors other than 1 and itself, is

The number of integer solutions of equation \(2|x|(x^2+1)=5x^2\) 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

(1134)ⁿ is divisible by 168. (168)^m is divisible by (1134)ⁿ. Find the minimum value of n + m