Grouping and Selection: CAT Previous Year Questions Q. 1 InstructionsEach of the bottles mentioned in this question contains 50 ml of liquid. The liquid in any bottle can be 100% pure content (P) or can have certain amount of impurity (I). Visually it is not possible to distinguish between P and I. There is a […]
Geometry: CAT Previous Year Questions Q. 1 ABCD is a trapezium in which AB is parallel to CD. The sides AD and BC when extended, intersect at point E. If AB = 2 cm, CD = 1 cm, and perimeter of ABCD is 6 cm, then the perimeter, in cm, of $\triangle AEB$ is A) 8
Function: CAT Previous Year Questions Q. 1 Let $f(x)=\frac{x}{(2x-1)}$ and $g(x)=\frac{x}{(x-1)}$. Then the domain of the function $h(x)=f(g(x))+g(f(x))$ is all real numbers except A) $-1,\frac{1}{2}, \text{and} 1$ B) $\frac{1}{2}, 1, \text{and} \frac{3}{2}$ C) $-\frac{1}{2},\frac{1}{2}, \text{and} 1$ D) $\frac{1}{2}, \text{and} 1$ Q. 2 For real values of x, the range of the function $f(x)=\dfrac{2x-3}{2x^{2}+4x-6}$ is A) $\left(-\infty,\frac{1}{8}\right]
Equations: CAT Previous Year Questions Q. 1 Stocks A, B and C are priced at rupees 120, 90 and 150 per share, respectively. A trader holds a portfolio consisting of 10 shares of stock A, and 20 shares of stocks B and C put together. If the total value of her portfolio is rupees 3300,
Distribution allocation: CAT Previous Year Questions Q. 1 InstructionsTwo students, Amiya and Ramya are the only candidates in an election for the position of class representative. Students will vote based on the intensity level of Amiya’s and Ramya’s campaigns and the type of campaigns they run. Each campaign is said to have a level of
Distance, Time and Speed: CAT Previous Year Questions Q. 1 Shruti travels a distance of 224 km in four parts for a total travel time of 3 hours. Her speeds in these four parts follow an arithmetic progression, and the corresponding time taken to cover these four parts follow another arithmetic progression. If she travels
Data Interpretation: CAT Previous Year Questions Q. 1 InstructionsThere are six spherical balls, B1, B2, B3, B4, B5, and B6, and four circular hoops H1, H2, H3, and H4.Each ball was tested on each hoop once, by attempting to pass the ball through the hoop. If the diameter of a ball is not larger than
Critical Reasoning: CAT Previous Year Questions Q. 1 InstructionsThe passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.In [my book “Searches”], I chronicle how big technology companies have exploited human language for their gain. We let this happen, I argue, because we also benefit somewhat from
Coordinate geometry: CAT Previous Year Questions Q. 1 The (x, y) coordinates of vertices P, Q and R of a parallelogram PQRS are (-3, -2), (1, -5) and (9, 1), respectively. If the diagonal SQ intersects the x-axis at (a, 0) , then the value of a is A) $\dfrac{27}{7}$ B) $\dfrac{10}{3}$ C) $\dfrac{13}{4}$ D)
Averages and Alligations: CAT Previous Year Questions Q. 1 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, after the book launch. On the ninth day, she sells 11 copies less than the eighth day, and
