CAT 2023 Slot 2 Quant Marathon | CAT Previous Year Questions | 2IIM CAT Preparation
00:00 - Intro
00:04 - For any natural numbers m,n, and k, such that k divides both m+2n and 3m+4n,k must be..
02:53 - Any non-zero real numbers x,y such that y≠3 and xy less than x+3y−3 will satisfy the condition..
06:29 - The sum of all possible values of x satisfying the equation 2^4^x^2−2^2^x^2+x+16+2^2^x+30=0
10:33 - Let a,b,m and n be natural numbers such that a greater than 1 and b greater than 1...
13:15 - The number of positive integers less than 50, having exactly two distinct factors other than 1 and itself, is
15:24 - For some positive real number x, if log3√(x)
16:54 - Let k be the largest integer such that the equation (x−1)2+2kx+11=0 has no real roots...
19:36 - In a company, 20% of the employees work in the manufacturing department. If the total..
21:07 - Minu purchases a pair of sunglasses at Rs.1000 and sells to Kanu at 20% profit. Then, Kanu sells it back to Minu at 20% loss. Finally, Minu sells the same pair of sunglasses to Tanu...
22:52 - Pipes A and C are fill pipes while Pipe B is a drain pipe of a tank. Pipe B empties the full tank in one hour less than the time taken by Pipe A to fill the empty tank. When pipes A, B and C..
28:30 - Ravi is driving at a speed of 40 km/h on a road. Vijay is 54 meters behind Ravi and driving in the same direction as Ravi. Ashok is driving along the same road from the opposite direction at a speed of 50 km/h and is 225 meters away from Ravi...
31:21 - Anil borrows Rs 2 lakhs at an interest rate of 8% per annum, compounded half-yearly. He repays Rs 10320 at the end of the first year and closes the loan by paying the outstanding amount at the end of the third year....
35:13 - The price of a precious stone is directly proportional to the square of its weight. Sita has a precious stone weighing 18 units. If she breaks it into four pieces with each piece having distinct integer weight...
38:03 - A container has 40 liters of milk. Then, 4 liters are removed from the container and replaced with 4 liters of water. This process of replacing 4 liters of the liquid in the container with an equal volume of water is continued repeatedly...
43:30 - Jayant bought a certain number of white shirts at the rate of Rs 1000 per piece and a certain number of blue shirts at the rate of Rs 1125 per piece. For each shirt, he then set a fixed market price which was 25% higher than the average cost of all the shirts.....
46:53 - If a certain amount of money is divided equally among n
persons, each one receives Rs 352 . However, if two persons receive Rs 506 each and the remaining amount is divided equally among the other persons, each of them receive less than or equal to Rs 330 .....
48:59 - In a rectangle ABCD, AB = 9 cm and BC = 6 cm. P and Q are two points on BC such that the areas of the figures ABP, APQ, and AQCD are in geometric progression. If the area of the figure AQCD is four times the area of triangle ABP, then BP : PQ : QC is
53:10 - triangle is drawn with its vertices on the circle C such that one of its sides is a diameter of C and the other two sides have their lengths in the ratio a:b. If the radius of the circle is r, then the area of the triangle is
55:39 - The area of the quadrilateral bounded by the Y-axis, the line x=5, and the lines |x−y|−|x−5|=2, is
1:03:52 - Let both the series a1,a2,a3,… and b1,b2,b3… be in arithmetic progression such that the common differences of both the series are prime numbers. If a5=b9,a19=b19 and b2=0, then a11
equals
1:06:05 - If p^2+q^2−29=2pq−20=52−2pq, then the difference between the maximum and minimum possible value of (p^3−q^3) is..
1:10:06 - Let an and bn be two sequences such that an=13+6(n−1) and bn=15+7(n−1) for all natural numbers n. Then, the largest three digit integer that is common to both these sequences, is
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