List of top Quantitative Ability and Data Interpretation Questions on Algebra

Consider the system of two linear equations as follows: 3x + 21y + p = 0; and qx + ry – 7 = 0, where p , q, and r are real numbers.
Which of the following statements DEFINITELY CONTRADICTS the fact that the lines represented by the two equations are coinciding?

Read the following scenario and answer the question.
Aman has come to the market with Rs. 100. If he buys 5 kilograms of cabbage and 4 kilograms of potato, he will have Rs. 20 left; or else, if he buys 4 kilograms of cabbage and 5 kilograms of onion, he will have Rs. 7 left. The per kilogram prices of cabbage, onion and potato are positive integers (in rupees), and any type of these vegetables can only be purchased in positive integer kilogram, or none at all.

During an event 160 participants participated. They were grouped into male and female. There were 1240 apples to be distributed among them. If each male gets 7 apples and each female gets 12 apples, find the number of females in the event.

If \(5T+8S=7350\), \(3T+5S=4475\), then find \(T\).

If a and b are whole numbers such that ab = 121, find the value of (a - 1)b + 1.

Write 82x + 3 in the form of 2y and express the relation between x and y.

If 3(x-y) = 27 and 3(x+y) = 243, find the value of x.

Some members of a social service organization in Kolkata decide to prepare 2400 laddoos to gift to children in various orphanages and slums in the city, during Durga Puja. The plan is that each of them makes the same number of laddoos. However, on laddoo-making day, ten members are absent, thus each remaining member makes 12 laddoos more than earlier decided.
How many members actually make the laddoos?

Wilma, Xavier, Yaska and Zakir are four young friends, who have a passion for integers. One day, each of them selects one inWilma, Xavier, Yaska and Zakir are four young friends, who have a passion for integers. One day, each of them selects one integer and writes it on a wall. The writing on the wall shows that Xavier and Zakir picked positive integers, Yaska picked a negative one, while Wilma’s integer is either negative, zero or positive. If their integers are denoted by the first letters of their respective names, the following is true:
W⁴ + X³ + Y² + Z\(≤\) 4, 
X³ + Z \(≥\) 2, 
W⁴ + Y² \(≤\) 2, 
Y² + Z \(≥\) 3 
Given the above, which of these can W² + X² + Y² + Z² possibly evaluate to?

Mr. Jose buys some eggs. After bringing the eggs home, he finds two to be rotten and throws them away. Of the remaining eggs, he puts five-ninth in his fridge, and brings the rest to his mother’s house. She cooks two eggs and puts the rest in her fridge. If her fridge cannot hold more than five eggs, what is the maximum possible number of eggs bought by Mr. Jose?

Let \(f(x)= \frac{x^2+1}{x^2-1} \) if \(x \neq 1,-1,\) and \(1\) \(x=1,-1\). Let \(g(x)= \frac{x+1}{x-1} \) if \(x \neq 1\) and \(3\) if \(x=1\).What is the minimum possible values of \( \frac{f(x)}{g(x)} \)?

If \(log_4m+log_4n=log_2(m+n)\) where m and n are positive real numbers, then which of the following must be true?

If a is $\frac{3}2$ times of b, b is $\frac{3}{4}^{th}$ of c and d is $\frac{1}4 ^{th}$ of c, the ratio of a and d is

Symbiosis runs a corporate training programme. At the end of running the first programme its total takings were Rs. 38950. There were more than 45 but leass than 100 particulars. What was the participants fee the programme ?

A man purchased 40 fruits; apples and oranges for rupees 17. Had He purchased as many oranges as apples and as many apples as oranges. He would have paid rupees 15. find the cost of one pair of an Apple and an orange.

axb = 551, bxc = 1073. Find a+b+c.

One question was based on the binomial expression.

Meera and Sarika attempted to solve a quadratic equation in x. Sarika made a mistake in reading the coefficient of x and obtained the roots as 12 and 16. Meera made a mistake in reading the constant term of the equation. She obtained the roots as 22 and 6. The corrects root(s) is (are) :
(A) -16 
(B) -12 
(C) 12 
(D) 16 
Choose the correct answer from the options given below :

Consider the four variables A, B, C and D and a function Z of these variables, Z=15A\(^2\)-3B\(^4\)+C+0.5D It is given that A, B, C and D must be non-negative integers and that all of the following relationships must hold:
i) \(2A+B\leq2\)
ii) \(4A+2B+C\leq12\)
iii) \(3A+4B+D\leq15\)
If Z needs to be maximised, then what value must D take?

A shop sells bags in three sizes: small, medium and large. A large bag costs Rs.1000, a medium bag costs Rs.200, and a small bag costs Rs.50. Three buyers, Ashish, Banti and Chintu, independently buy some numbers of these types of bags. The respective amounts spent by Ashish, Banti and Chintu are equal. Put together, the shop sells 1 large bag, 15 small bags and some medium bags to these three buyers. What is the minimum number of medium bags that the shop sells to them?

A man is laying stones, from start to end, along the two sides of a 200-meterwalkway. The stones are to be laid 5 meters apart from each other. When he begins, all the stones are present at the start of the walkway. He places the first stone on each side at the walkway’s start. For all the other stones, the man lays the stones first along one of the walkway’s sides, then along the other side in an exactly similar fashion.
However, he can carry only one stone at a time. To lay each stone, the man walks to the spot, lays the stone, and then walks back to pick another. After laying all the stones, the man walks back to the start, which marks the end of his work. What is the total distance that the man walks in executing this work? Assume that the width of the walkway is negligible.

If A ⊙ B =(A+B) x B, then what is (5 ⊙ 2 ) ⊙ 5?

Six drums are used to store water. Five drums are of equal capacity, while the sixth drum has double the capacity of each of these five drums. On one morning, three drums are found half full, two are found two- thirds full and one is found completely full. It is attempted to transfer all the water to the smaller drums. How many smaller drums are adequate to store the water?

Read the information given below and answer the 2 associated questions.
190 students have to choose at least one elective and at most two electives from a list of three electives: E1, E2 and E3. It is found that the number of students choosing E1 is half the number of students choosing E2, and one third the number of students choosing E3.
Moreover, the number of students choosing two electives is 50.

If \(x^2+x+1=0\), then \(x^{2018}+x^{2019}\) equals which of the following: