List of top Quantitative Aptitude Questions on Basic Algebra asked in ATMA

Investment of ₹ 4,000 at \(R\%\) per annum compounded annually becomes 16,000 in 8 years. If 2,000 is invested at \(R\%\) per annum compounded annually, then in how many years will the investment become 16,000?
For every 2 boy students there are 3 girl students and for every 4 male teacher there are 5 female teachers. If the ratio of number of teachers to the number of students is 1:10, then which of the following is the ratio of the number of boy students to the number of male teachers?
A certain number of cakes is distributed equally among Alex, Bruce, Clive and Daniel. Alex gives away \((\frac{3}{4})^{th}\) of his cakes equally among the other three people. Later Bruce gives half of his cakes to Daniel. What fraction of the total number of cakes does Daniel have in the end?
A rabbit on a controlled diet is fed a total of 1 kg of carrot every day. There are 2 types of carrots that are fed to the rabbit. Type X carrot contains \(60\%\) protein and type Y carrot contains \(80\%\) protein. If the rabbit must be fed 650 grams of protein everyday, then how many grams of type X carrot must be fed to the rabbit?
In a certain manufacturing plant, the ratio of the number of workers to managers is 7: 2. The total number of employees which consists of workers and managers only is 45,000. The manufacturing plant plans to hire new employees such that for every five workers there is a manager. How many new workers should the manufacturing plant hire?
A man walking upward on a staircase at the speed of x steps per second takes a total time of y seconds to reach the top. At what speed (in steps per second) he should walk to reach at the top in \(\frac{y}{3}\) seconds?
If 'x' and 'y' are positive integers and 'x + y' is even, then which of the following must always be even?
In a certain exam, \((\frac{1}{10})^{th}\) of the students passed by 1st division, \((\frac{1}{4})^{th}\) of the students passed by 2nd division, and half of the students passed by 3rd division. If the remaining 54 students failed in the exam, then what was the total number of students who appeared in the exam?

If \( 3y + x > 2 \) and \( x + 2y \leq 3 \), what can be said about the value of \( y \)?

Fifty is divided into two parts such that the sum of their reciprocals is \( \frac{1}{12} \). Find the two parts.

There are 20 balls which are red, blue or green. If 7 balls are green and the sum of red balls and green balls is less than 13, at most how many red balls are there?
One year ago, the ratio of Siddhi and Anushka’s age was 6:7 respectively. Four years hence, this ratio would become 7:8. How old is Anushka?
Rajapur has a population of 88000, which is decreasing at the rate of 1200 per Year. Rampur has a population of 42000, which is increasing at the rate of 800 per year. In how many years will the population of the two villages, is equal?
The product of the ages of Ankita and Nikita is 240. If twice the age of Nikita is more than Ankita's age by 4 years, what is Nikita's age?

Find the value of \( (2^{1/4} - 1) (2^{3/4} + 2^{1/2} + 2^{1/4} + 1) \)

If the sum of two numbers is 42 and their product is 437, then find the absolute difference between the numbers.
Two pens and three pencils cost Rs 86. Four pens and a pencil cost Rs. 112. Find the cost of a pen.