Order and Ranking: CAT Previous Year Questions Q. 1 InstructionsA high security research lab requires the researchers to set a pass key sequence based on the scan of the five fingers of their left hands. When an employee first joins the lab, her fingers are scanned in an order of her choice, and then when […]

Odd Sentence: CAT Previous Year Questions Q. 1 Five jumbled sentences (labelled 1, 2, 3, 4, and 5), related to a topic, are given below. Four of them can be put together to form a coherent paragraph. Identify the odd sentence out and key in the number of that sentence as your answer.1. Developments both technological

Number systems: CAT Previous Year Questions Q. 1 In a 3-digit number N, the digits are non-zero and distinct such that none of the digits is a perfect square, and only one of the digits is a prime number. Then, the number of factors of the minimum possible value of N is Q. 2 Let

Missing Sentence: CAT Previous Year Questions Q. 1 The given sentence is missing in the paragraph below. Decide where it best fits among the options 1, 2, 3, or 4 indicated in the paragraph.Sentence: “Everything is old-world, traditional techniques from Mexico,” Ava emphasizes.Paragraph: The sisters embrace the ways their great-grandfather built and repaired instruments. ____(1)

Mensuration: CAT Previous Year Questions Q. 1 If the length of a side of a rhombus is 36 cm and the area of the rhombus is 396 sq. cm, then the absolute value of the difference between the lengths, in cm, of the diagonals of the rhombus is Q. 2 The surface area of a

Matching Puzzle: CAT Previous Year Questions Q. 1 InstructionsThree reviewers Amal, Bimal, and Komal are tasked with selecting questions from a pool of 13 questions (Q01 to Q13). Questions can be created by external “subject matter experts” (SMEs) or by one of the three reviewers. Each of the reviewers either approves or disapproves a question

Logarithms, Surd and Indices: CAT Previous Year Questions Q. 1 For any natural number k , let $a_{k}=3^{k}$. The smallest natural number m for which $\left\{(a_{1})^{1}\times(a_{2})^{2}\times…\times(a_{20})^{20}\right\}0$,is A) 2 B) infinite C) 1 D) 0 Q. 3 If $\log_{64}{x^{2}+\log_{8}{\sqrt{y}+3\log_{512}{(\sqrt{y}z)}}}=4$, where x,y and z are positive real numbers, then the minimum possible value of $(x+y+z)$ is A)

Inequalities: CAT Previous Year Questions Q. 1 A value of $c$ for which the minimum value of $f(x)=x^{2}-4cx+8c$ is greater than the maximum value of $g(x)=-x^{2}+3cx-2c$, is A) $2$ B) $\dfrac{1}{2}$ C) $-\dfrac{1}{2}$ D) $-2$ Q. 2 The number of distinct pairs of integers (x, y) satisfying the inequalities $x>y\geq3 $ and $x+y0$, is A)

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