CAT 2023 Slot 3 Quant Marathon | CAT Previous Year Questions | 2IIM CAT Preparation скачать в хорошем качестве

CAT 2023 Slot 3 Quant Marathon | CAT Previous Year Questions | 2IIM CAT Preparation

00:00 - Intro 00:06 - If x is a positive real number such that x^8+(1/x) ^8 = 47, then the value of x^9+(1/x) ^ is 04:48 - Let n and m be two positive integers such that there are exactly 41 integers greater than 8m.. 07:07 - For some real numbers a and b, the system of equations x + y = 4 and (a+5)x + (b2−15)y=8b.. 09:23 - For a real number x, if 1/2... 13:15 - The sum of the first two natural numbers, each having 15 factors, is 14:51 - Let n be any natural number such that 5n−1 less than 3n+1. Then, the least integer value of m that... 19:58 - Anil mixes cocoa with sugar in the ratio 3 : 2 to prepare mixture A, and coffee with sugar in the ratio 7 : 3 to prepare mixture B. He combines mixtures A and B in the ratio 2 : 3 to make a new... 21:53 - The population of a town in 2020 was 100000 . The population decreased by y% from the year 2020 to 2021 , and increased by x% from the year 2021 to 2022, where x and y are two natural.... 24:46 - There are three persons A,B and C in a room. If a person D joins the room, the average weight of the persons in the room reduces by x kg . Instead of D, if person E... 26:53 - A merchant purchases a cloth at a rate of Rs.100 per meter and receives 5 cm length of cloth free for every 100 cm length of cloth purchased by him. He sells the same cloth at a rate of Rs.110... 29:15 - The number of coins collected per week by two coin-collectors A and B are in the ratio 3 : 4. If the total number of coins collected by A in 5 weeks is a multiple of 7, and the total number of coins.. 31:04 - A quadratic equation x^2+bx+c=0 has two real roots. If the difference between the reciprocals of the roots is 13, and the sum of the reciprocals of the... 36:19 - A boat takes 2 hours to travel downstream a river from port A to port B, and 3 hours to return to port A. Another boat takes a total of 6 hours to travel from port B to port A and return to port B... 42:32 - A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes make up 40% of his stock. That day, he sells.. 46:14 - A rectangle with the largest possible area is drawn inside a semicircle of radius 2 cm. Then, the ratio of the lengths of the largest to the smallest side of this rectangle is 48:20 - Let an=46+8n and bn=98+4n be two sequences for natural numbers n≤100. Then, the sum of all terms common to both the sequences is 52:19 - The value of 1+(1+1/3)1/4+(1+1/3+1/9)1/16+(1+1/3+1/9+1/27)1/64+⋯, is 56:31 - Suppose f(x,y) is a real-valued function such that f(3x+2y,2x−5y)=19x, for all real numbers x and y. The value of x for which f(x,2x)=27, is 1:01:11 - Rahul, Rakshita and Gurmeet, working together, would have taken more than 7 days to finish a job. On the other hand, Rahul and Gurmeet, working together would have taken less... 1:08:10 - Gautam and Suhani, working together, can finish a job in 20 days. If Gautam does only 60% of his usual work on a day, Suhani must do 150% of her usual work on that day to exactly... 1:10:55 - Let △ABC be an isosceles triangle such that AB and AC are of equal length. AD is the altitude from A on BC and BE is the altitude from B on AC. If AD and BE intersect at O such that ∠AOB=105∘, then ADBE equals Best wishes for CAT preparation.