CAT 2025 Slot 2 Quant Marathon | QA Video Solutions | CAT Previous Year Questions

CAT 2025 Slot 2 Quant Marathon | Complete QA Solutions In this session, Rajesh Sir solves the entire Quantitative Aptitude section of CAT 2025 Slot 2, discussing each question the way it should be approached in the actual exam. The focus is not on shortcuts or speed tricks, but on understanding how CAT frames Quant questions and how a student should think under time pressure. This Quant Marathon is especially useful if you are analysing your CAT 2025 attempt or if you are preparing for CAT 2026 using previous year questions. The questions in this slot cover a good mix of Arithmetic, Algebra and other core CAT topics, making this video a solid reference for anyone serious about CAT Quant preparation. As Rajesh Sir works through the paper, he also explains which questions were worth attempting, which ones could have been skipped, and how small decisions inside the exam can make a big difference to your final score. Watching the full solve will help you develop better judgement, not just better speed. You can use the timestamps provided to jump directly to any question. It is strongly recommended that you pause the video and try solving each question on your own before watching the explanation. 0:00 Introduction 0:04 If m and n are integers such that (m+2n)(2m+n)=27, then the maximum possible value of 2m−3n is 4:13 If log64x2+log8y√+3log512(y√z)=4, where x,y, and z are positive real numbers, then the minimum possible value of (x+y+z) is 7:27 The average number of copies of a book sold per day by a shopkeeper is 60 in the initial seven days and 63 in the initial eight days, 9:18 Let f(x)=x(2x−1) and g(x)=x(x−1). Then, the domain of the function h(x)=f(g(x))+g(f(x)) is all real numbers except 11:39 If 9x2+2x−3−4(3x2+2x−2)+27=0, then the product of all possible values of x is 14:44 Let ABCDEF be a regular hexagon and P and Q be the midpoints of AB and CD, respectively. 16:46 If a,b,c, and d are integers such that their sum is 46, then the minimum possible value of (a−b)2+(a−c)2+(a−d)2 is 17:56 Let an be the nth term of a decreasing infinite geometric progression. If a1+a2+a3=52 and a1a2+a2a3+a3a1=624, 20:03 Suppose a,b,c are three distinct natural numbers, such that 3ac=8(a+b) 22:52 Two tangents drawn from a point P touch a circle with center O at points Q and R. 25:50 The number of divisors of (26×35×53×72), which are of the form (3r+1), where r is a non-negative integer, is 31:13 Ankita is twice as efficient as Bipin, while Bipin is twice as efficient as Chandan. All three of them start together on a job, 32:02 The ratio of expenditures of Lakshmi and Meenakshi is 2 : 3, and the ratio of the income of Lakshmi to the expenditure of Meenakshi is 6 : 7. 33:20 The set of all real values of x for which (x2−|x+9|+x) Greater then 0, is 35:15 An item with a cost price of Rs. 1650 is sold at a certain discount on a fixed marked price to earn a profit of 20% 38:13 The equations 3x2−5x+p=0 and 2x2−2x+q=0 have one common root. 41:55 A mixture of coffee and cocoa, 16% of which is coffee, costs Rs 240 per kg 44:56 A loan of Rs 1000 is fully repaid by two installments of Rs 530 and Rs 594, paid at the end of first and second year 47:37 Rita and Sneha can row a boat at 5 km/h and 6 km/h in still water, respectively. 50:36 The sum of digits of the number (625)65×(128)36, is 52:44 In a △ABC, points D and E are on the sides BC and AC , respectively. 59:34 A certain amount of money was divided among Pinu, Meena, Rinu and Seema. For more CAT Previous Year Questions with detailed explanations, you can practise them topic-wise and year-wise on our CAT PYQ page here: https://online.2iim.com/CAT-question-... This video is useful for CAT 2025 aspirants reviewing the paper, CAT 2026 aspirants building fundamentals through PYQs, and repeat takers looking to improve accuracy and question selection in Quant.