Algebra - 5 - Special Equations || Quantitative Aptitude || CAT 2021 || 17 September

The students of a class are made to stand in rows. If 3 students are extra in a row, there would be 1 row less. If 3 students are less in a row, there would be 2 rows more. Find the number of students in the class.

The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 2, then the denominator becomes 15/7 times the numerator. Find the fraction.

Three friends, Amar, Akbar and Anthony stop at a road side eating joint. Amar orders 10 rotis, 4 plates of tadka, and a cup of tea. Akbar orders 7 rotis, 3 plates of tadka, and a cup of tea. Amar pays Rs.80 for the meal and Akbar pays Rs.60. Meanwhile, Anthony orders 5 rotis, 5 plates of tadka and 5 cups of tea. How much (in Rs.) will Anthony pay?

What is the minimum value of K such that the equation 20x + 27y = K has exactly 8 positive integral solutions?

In a True/False quiz, 4 marks are awarded for each correct answer and 1 mark is deducted for each wrong answer. Amit, Benn and Chitra answered the same 10 questions, and their answers are given below in the same sequential order.

If Amit and Benn both score 35 marks each then Chitra’s score will be:

The total number of integer pairs (x, y) satisfying the equation x + y = xy is

The number of solution of the equation 6x+15y = 8, where x and y are both integers is