Two 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 1 if it is a staid campaign and … Read more
The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly … Read more
In recent years, the CAT exam has evolved significantly in its approach to vocabulary. While there are no direct vocabulary questions like synonyms or antonyms, understanding high-level words has become essential, especially in Reading Comprehension (RC) and Verbal Ability (VA). In CAT 2024, Slot 1 had 38 high-level words, Slot 2 had 35, and Slot … Read more
G Strategy: Convert to easy language Prephrase the passage What it tests: Like a zoom lens, you must adjust your focus to match the author’s — too narrow or too wide a view distorts the meaning. The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of … Read more
G Strategy: Convert to easy language Prephrase the passage What it tests: Example Topics: Why this name:You’re being tested on your ability to trace a clear logical chain of causes and effects, like following a train of dominoes. The passage given below is followed by four alternate summaries. Choose the option that best captures the … Read more
G Strategy: Convert to easy language Prephrase the passage What it tests: These passages appear simple on the surface but have deeper implications that must be carefully unpacked — like finding hidden depths in calm waters. The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of … Read more
G Strategy: Find the Connections rather than odd man out! Nonhomogeneous G Strategy | Slot 1 CAT 2024 Question with Answer and Explanation Five jumbled up 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 … Read more
G Strategy: Find the Connections rather than odd man out! Lone Wolf G Strategy | Slot 1 CAT 2024 Question with Answer and Explanation Five jumbled up 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 … Read more
The number of distinct integer solutions (x, y) of the equation |x + y| + |x – y| = 2, is If 10^68 is divided by 13, the remainder is1) 8 2) 9 3) 4 4) 5 Find the number of all positive integers up to 500 with non-repeating digits. Show/Hide Solution Type of Number … Read more
After two successive increments, Gopal’s salary became 187.5% of his initial salary. If the percentage of salary increase in the second increment was twice of that in the first increment, then the percentage of salary increase in the first increment was ?1) 252) 203) 27.54) 30 A regular octagon ABCDEFGH has sides of length 6 cm each. Then the … Read more
Surd Algebra Question Q1 \( a \) and \( b \) are natural numbers, then the value of \( a + b \) is: \[ (a + b\sqrt{3})^2 = 52 + 30\sqrt{3} \] Sequence Sum Solution Q2 Consider the sequence: \[ t_1 = 1, \quad t_2 = -1, \quad t_n = \left( \frac{n – 3}{n … Read more
Question 1 Roots and Expression Value The roots \( \alpha, \beta \) of the equation \( 3x^2 + \lambda x – 1 = 0 \) satisfy \[ \frac{1}{\alpha^2} + \frac{1}{\beta^2} = 15. \] The value of \( (\alpha^3 + \beta^3)^2 \) is: Question 2 Trapezium + Triangles ABCD is a trapezium in which AB is … Read more
Ques 1 When 3^333 is divided by 11, the remainder is Ques 2 A function f maps the set of natural numbers to whole numbers, such that f(xy) = f(x)f(y) + f(x) + f(y) for all x, y and f(p) = 1 for every prime number p. Then, the value of f(160000) is 1) 4095 2) 1023 … Read more
Inequality Question All the values of \( x \) satisfying the inequality \( \frac{1}{x + 5} \leq \frac{1}{2x – 3} \) are: 1) \( -5 < x < \frac{3}{2} \) or \( x > \frac{3}{2} \) 2) \( -5 < x < \frac{3}{2} \) or \( \frac{3}{2} < x \leq 8 \) 3) \( x ... Read more
Ages + RatiosWhen Rajesh’s age was same as the present age of Garima, the ratio of their ages was 3 : 2. When Garima’s age becomes the same as the present age of Rajesh, the ratio of the ages of Rajesh and Garima will become 1) 2 : 12) 3 : 23) 4 : 34) 5 : 4 Mixtures … Read more
🧠 Verdict: Which to Choose? Situation Suggestion Want a lifelong IIM brand + CAT qualified ✅ Choose Baby/New IIM Looking for ROI + in/around Maharashtra + got CET/CMAT rank ✅ Choose Sydenham, PUMBA, etc. Want high placement + tech/analytics roles + convert IIT MBA ✅ Prefer IITs (esp. IIT Bombay, Delhi) Long-term goal = foreign … Read more
MathJax Inequality Region Area In the XY-plane, the area, in sq. units, of the region defined by the inequalities \( y \geq x + 4 \) and \( -4 \leq x^2 + y^2 + 4(x – y) \leq 0 \) is: 1. \( 3\pi \) 2. \( 2\pi \) 3. \( 4\pi \) 4. \( … Read more
MathJax Question Let \( x, y, \) and \( z \) be real numbers satisfying: \( 4(x^2 + y^2 + z^2) = a \), \( 4(x – y – z) = 3 + a \). Then \( a \) equals: 1. \( 1 \) 2. \( 4 \) 3. \( 3 \) 4. \( 1 … Read more
MathJax Question For any natural number \( n \), let \( a_n \) be the largest integer not exceeding \( \sqrt{n} \). Then the value of \( a_1 + a_2 + \cdots + a_{50} \) is When 10^100 is divided by 7, find the remainder. a. 1 b. 6 c. 3 d. 4
Two places A and B are 45 kms apart and connected by a straight road. Anil goes from A to B while Sunil goes from B to A. Starting at the same time, they cross each other in exactly 1 hour 30 minutes. If Anil reaches B exactly 1 hour 15 minutes after Sunil reaches … Read more