CAT 2022 Quant x maro G Strategy

Let a, b, c be non-zero real numbers such that b² < 4ac, and f(x) = ax² + bx + c. If the set S consists of all integers m such that f(m) < 0, then the set S must necessarily be

For any natural number t, suppose the sum of the first t terms of an arithmetic progression is (n + 2n²). If the n^th term of the progression is divisible by 9, then the smallest possible value of n is

The largest real value of a for which the equation |x + a| + |x − 1| = 2 has an infinite number of solutions for x is

All the vertices of a rectangle lie on a circle of radius R. If the perimeter of the rectangle is P, then the area of the rectangle is

Let A be the largest positive integer that divides all the numbers of the form 3^k + 4^k + 5^k and B be the largest positive integer that divides all the numbers of the form 4^k + 3(4^k) + 4^k+2, where k is any positive integer. Then (A + B) equals TITA ________

Then the maximum value of f(x) becomes 100 when a is equal to _______ TITA

Consider the arithmetic progression 3, 7, 11, ... and let A_n denote the sum of the first n terms of this progression. Then the value of

In an examination, there were 75 questions. 3 marks were awarded for each correct answer, 1 mark was deducted for each wrong answer and 1 mark was awarded for each unattempted question. Rayan scored a total of 97 marks in the examination. If the number of unattempted questions was higher than the number of attempted questions, then the maximum number of correct answers that Rayan could have given in the examination is

If a and b are non-negative real numbers such that a + 2b = 6, then the average of the maximum and minimum possible values of (a + b) is

On day one, there are 100 particles in a laboratory experiment. On day n, where n≥2, one out of every n particles produces another particle. If the total number of particles in the laboratory experiment increases to 1000 on day m, then m equals