List of top Quantitative Ability Questions

What is the domain of definition of \( f(x)=\frac{\sqrt{(15-x)(\log_{10}x-1)}}{x-24 \log_{4}2} \)?

Following are given conversion of numbers from one base system to another base system, which conversion is correct? 
I. \( (4523)_{6=(1059)_{10}} \) 
II. \( (4523)_{6=(1069)_{10}} \) 
III. \( (0.203)_{5=(0.424)_{10}} \)
IV. \( (0.203)_{5=(0.406)_{10} }\)

For real numbers \( \alpha \) and \( \beta \), let \( p(x)=x^{2}-(\alpha+\beta)x+\alpha\beta \) and \( q(x)=x^{2}-(\alpha+\beta+2)x+(\alpha+1)(\beta+1) \). Which of the following statements is true?}
For p,q,r \(\neq\) 0, let \(f(x) = x^3 - px^2 + qx - r\), \(g(x) = x^3 - \frac{p}{r}x^2 + \frac{q}{r^2}x - \frac{1}{r}\). Which of the following statements is/are true?
I. \(f(a) = 0 \implies g(\frac{1}{a}) = 0\).
II. \(f(a) = 0 \implies g(1 + a) = 0\).
III. \(g(a) = 0 \implies f(\frac{r}{a}) = 0\).}
What is the value of \( \log_{10} 50 + \frac{\log_{0.5} 5}{1+\log_{2} 5} \)?
The ratio of an interior angle to its corresponding exterior angle of a regular polygon is 9 : 2. If number of sides in the polygon is n, then select the CORRECT option.
Kamla can complete a piece of work in 24 days. Nirmala can complete this work in 18 days. Kamla started the work alone and worked for X days. After this Nirmala alone completed the remaining work in Y days, in this way the work is completed in 20 days. If X and Y are both positive integers, then select the correct option.
Suppose M = (1, 1), N = (-1, 3), S = (2, 7), T = (0, -4). If A and B, respectively, divide MN and ST in the ratio 2:3, what is the equation of line AB?
Sony has a certain quantity of mixture in her bottle containing water and milk in the ratio 3 : 5, respectively. She takes out some quantity of that mixture and replaces it with an equal quantity of water. If the ratio of water to the milk in the new mixture is x : y, then select the INCORRECT statement from the following options.
Two friends, Rama and Jaya, appeared an examination. Rama secured 8 marks more than Jaya and her marks was 55% of the sum of their marks. The marks obtained by them are:
Denote the origin by O, (2,1) by P and (–1,2) by Q. If R and S are marked on the XY-plane such that OR = 30 units, OS = 40 units, P lies on OR and Q on OS, then what is the distance between R and S, in the given unit?
The area enclosed by |x| + |y| = 2 is:
Which of the following statements is/are true?
I. \(4^{10} + 6^{10}\) is divisible by 52.
II. \(7^{15} + 64^5\) is divisible by 11.
III. \(2^{20} - 49^{10}\) is divisible by 9.
IV. \(3^{15} - 8^5\) is divisible by 5.
If we draw the graph of \(f(x) = \log_{10(x + 1)\) on the domain of definition, which quadrants does it pass through?}
In a farmhouse, there are only horses and sheep. If 50% of the horses were sheep, then there would have been 50% more sheep than the number of horses. What percentage of all the animals are horses?
If \(x = 7\), then what is the value of
\(\frac{x^{\frac{1}{2}} + x^{-\frac{1}{2}}}{1 - x} + \frac{1 - x^{-\frac{1}{2}}}{1 - \sqrt{x}} = ?\)
If \(\frac{x^3}{z^2}<\frac{x^3+y^3+z^3}{x^2+y^2+z^2}<\frac{z^3}{x^2}\); \(x, y, z\) are positive real numbers, then which of the following options always ensure the given inequality to be true?
The least perfect square that is divisible by each of 321, 48 and 66 is:
Four girls and three boys have to sit in a row of seven chairs. If the chairs at the ends are to be occupied by girls and at least two of the three boys are supposed to sit adjacent to each other, then in how many different ways can they occupy these chairs?
The sum of the first 24 terms of an AP is \(\frac{12504}{25}\) and the sum of the next 24 terms is \(\frac{17112}{25}\). What is the \(3^{\text{rd}}\) term?
In a club, a member is either an Indian or a non-Indian who is either a man or a woman. One-third of them are women, two-thirds of them are Indian and three-eighths of the non-Indians are women. What is the probability that a man picked at random is a non-Indian?
A number \(1 + 7^{47}\) is divisible by \(x\). Which of the following is also divisible by \(x\)?
There are three ropes of lengths 4 m 50 cm, 9 m 90 cm and 16 m 20 cm, respectively. Each rope can be used to exactly measure the side of a square ground. What is the maximum possible value of each side, in m, if area of the square ground is less than 10,00,000 m\(^2\)?
The opposite sides of a regular hexagon are 18 cm apart. What is the length of each side of it?
Which term of the following series is 17.25?
\(-0.25, 0.25, 0.75, \dots\)